Main QC NTN
Main QC NTN
Abstract—Quantum technologies have been widely recognized developed applications of quantum technologies, there is the
as one of the milestones towards the ongoing digital transforma- so-called repeaterless PLOB bound, which sets a limit on the
tion, which will also trigger new disruptive innovations. Quantum achievable secret key generation rate in a point-to-point link to
technologies encompassing quantum computing, communica-
tions, and sensing offer an interesting set of advantages such scale linearly with the transmissivity of the channel [8]. Thus,
as unconditional security and ultra-fast computing capabilities. involving non-terrestrial networks (NTNs), that include aerial
However, deploying quantum services at a global scale requires and space platforms, such as high-altitude platform stations
circumventing the limitations due to the geographical boundaries (HAPS) and satellites, can be seen as a natural development
and terrestrial obstacles, which can be adequately addressed by step towards realizing global quantum Internet [9].
considering non-terrestrial networks (NTNs). In the recent few
years, establishing multi-layer NTNs has been extensively studied The use of NTNs in conjunction with the terrestrial in-
to integrate space-airborne-terrestrial communications systems, frastructure can help to address quantum networks expansion
particularly by the international standardization organizations challenges and unleash the quantum capabilities. The notion of
such as the third-generation partnership project (3GPP) and integrating NTNs with terrestrial networks (TNs) has received
the international telecommunication union (ITU), in order to a substantial boost from the 3GPP standardization group
support future wireless ecosystems. Indeed, amalgamating quan-
tum technologies and NTNs will scale up the quantum commu- after approving a dedicated work-item for its implementation
nications ranges and provide unprecedented levels of security within a new set of the fifth-generation (5G) new radio (NR)
and processing solutions that are safer and faster than the specifications in Release-16 [10]. Thereby, a continuous and
traditional offerings. This paper provides some insights into the ubiquitous wireless coverage can be attained, which is also
interplay between the evolving NTN architectures and quantum a cost-effective solution for network scalability with reliable
technologies with a particular focus on the integration challenges
and their potential solutions for enhancing the quantum-NTN coverage across different geographies [11]. Further, from an
interoperability among various space-air-ground communications implementation perspective, the free-space optical (FSO) links
nodes. The emphasis is on how the quantum technologies can used in connecting NTN entities are typically preferred in
benefit from satellites and aerial platforms as an integrated quantum communications protocols owing to the unequivocal
network and vice versa. Moreover, a set of future research benefits of the negligible background thermal radiation at
directions and new opportunities are identified.
optical frequencies [12]. Thus, given the much lower channel
losses and negligible decoherence in the space, NTN elements
I. I NTRODUCTION can be used as intermediate nodes for quantum communication
The recent breakthroughs in quantum technology develop- between distant locations. However, the integration of quantum
ment are opening the way towards establishing novel com- technology into satellite systems entails several deployment
munications networks based on quantum entanglement and challenges, which requires devoting more research efforts to
teleportation phenomena, which will be able to interconnect harness this interesting opportunity and construct an integrated
quantum servers for reaching an unprecedented computational system-oriented vision.
capability [1]. Quantum technologies have the potential to Furthermore, by employing quantum technologies, partic-
offer new development opportunities to the conventional com- ularly entangled states, into satellite networks, we can offer
munications systems, such as improved optimization tech- certain advantages due to the higher sensitivity of quantum
niques enabled by advances in quantum computing and strictly systems. Particularly, quantum sensors can measure different
secure cryptography beyond the capabilities of current classi- physical properties and much smaller quantities with a higher
cal systems [2]. In this direction, the concept of “Quantum accuracy using miniaturized devices compared to the current
Internet” has emerged, as an upgrade the classical Internet, sensors [13]. In this context, the national aeronautics and space
to provide seamless connection between quantum devices in administration (NASA) paired with Massachusetts institute of
order to improve the established applications and to motivate technology (MIT)-Lincoln Laboratory to develop a quantum
innovative quantum use cases [3]–[7]. However, one of the laser system to be used for relaying information from the
main limitations of deploying quantum services over wide international space station (ISS) in order to improve Earth-
geographical areas is the issue of channel loss. In the case to-space communications [14]. This includes a source of
of quantum key distribution (QKD), which is one of the best entangled photons of light [15]. This system would allow for
2
high-definition photographs and videos, which in turn would and opportunities are highlighted in Section V. This article is
extend the reach of space exploration [16]. On a similar finally concluded in Section VI.
note, quantum technologies would allow for designing light
detection and ranging (LiDAR) systems working in the single- II. Q UANTUM C OMMUNICATIONS
photon regime extending the precision in our imaging and Current communications systems are secured based on
detection systems [17]. the premise that breaking cryptography is slow using the
Over the last few years, a number of interesting survey existing conventional computers. This includes communicating
papers have studied and reviewed the new disrupting technolo- between data centres, inter-governmental communications, or
gies that are based on the powerful features and resources of critical financial and energy infrastructures. However, the
quantum mechanics, such as quantum entanglement [18], tele- commonly adopted classical cryptography schemes can be
portation [19], and the no-cloning theorem [20]. Specifically, jeopardized by the advent of quantum computers owing to their
quantum cryptography schemes, especially QKD protocols, capability to solve certain computationally intensive problems
have received a major attention from both the research and in- much faster than conventional computers. Although suffi-
dustry communities owing to the offered capability to maintain ciently powerful quantum computers are not fully developed
information-theoretic security. QKD utilizes quantum mechan- yet today, this evolving research area is drawing a growing
ical properties to enable the secret exchange of cryptographic attention. Generally, the forecasts are optimistic for having
keys and can even alert to the presence of an eavesdropper. the quantum computer as a commercial product in the coming
In this regard, the research and developments on adopting years [23]. Therefore, encryption in current communications
QKD to satellites are summarized in [21], including protocols, systems needs further improvement to face the forthcoming
infrastructure, and the technical challenges, as well as briefly risk of developing a full-scale quantum computer, hence,
reporting the on-going satellite QKD initiatives. Additionally, breaking the current encryption algorithms exponentially faster
the recent research advances in continuous-variable QKD for than the best non-quantum machines. Interestingly, we can
low Earth orbit (LEO) satellite communications are discussed use quantum mechanics to create strictly secure cryptography
in [5]. Likewise, utilizing communications protocols of QKD beyond the capabilities of current classical systems. In quan-
based on discrete variable systems are reviewed in [1] with tum communication systems, the information is encoded in the
considering the challenging environment in space. Further, the quantum-mechanical properties of a system, e.g. the polariza-
survey article in [22] has provided a vision to utilize space- tion of a photon or the spin of an electron. Employing such
based systems for establishing a global quantum network with quantum-mechanical properties allows the communicating par-
focusing on quantum technologies. ties to exploit unique quantum effects such as superposition
The aforementioned studies have reviewed some combina- and entanglement to their advantage [24]. In this Section,
tion aspects between the quantum technologies and space- we provide an overview of quantum communications theory
based systems but there are still vital characteristics in the and applications, which will serve as the background for the
emerging NTNs to be utilized for progressing towards a upcoming sections.
scalable quantum networked landscape. Correspondingly, the
resemblance in the equipment needed for interconnecting the
A. Quantum Information: Basic Theory
quantum nodes and NTN platforms, e.g. optical links, can
be further harnessed for more interesting advances in the The state of an isolated quantum system is represented by a
realm of NTN structures and functionalities. This observation vector in a Hilbert space. A quantum bit (qubit) is the simplest
has motivated us to compose this article to identify and of such a quantum system, which is represented by
capitalize on the mutual interplay between the evolving NTN
α
architectures and quantum technologies. This review paper |ψ⟩ = α |0⟩ + β |1⟩ = , (1)
β
is different from the existing ones in that we are explicitly
2 2
focusing on the prominent quantum technologies and their where α, β ∈ C with |α| + |β| = 1 for normalization, |·⟩ is
deployment within versatile space-air-ground communications the Dirac notation for vectors, and |0⟩ = [ 10 ] and |1⟩ = [ 01 ] are
nodes across different altitudes, layers, and orbits, for enhanc- the orthonormal vectors constituting the standard basis Bs =
ing the quantum-NTN interoperability. To better understand {|0⟩ , |1⟩} of the two-dimensional vector space. Any qubit with
these synergies, we will briefly explain the essential features of α ̸= 0, 1 is said to be in the superposition of |0⟩ and |1⟩.
quantum communications systems and the integration aspects Once a quantum system is prepared in an arbitrary qubit
with the NTNs in the next two sections. state |ψ⟩, it can be measured to extract no more than one bit
As presented in Fig. 1, the remainder of this paper is of classical information. In the simplest case, a measurement is
organized as follows. In Section II, quantum communica- |ψ⟩ onto the basis vectors of
performed by projecting the state
tions prospects are discussed with emphasis on QKD and some orthonormal basis B = |ϕ⟩ , |ϕ⊥ ⟩ , where |ϕ⊥ ⟩ denotes
quantum cryptography schemes. Section III presents the key the state orthonormal to |ϕ⟩. Upon measuring |ψ⟩ of (1), the
2
characteristics and architectures of NTNs in addition to the outcome will correspond to |ϕ⟩ with probability |⟨ϕ | ψ⟩| or
2 †
interconnecting synergies with the quantum devices. Next, the to |ϕ⊥ ⟩ with probability ⟨ϕ⊥ | ψ⟩ , where ⟨ϕ| = (|ϕ⟩) is the
integration challenges that require more research efforts for conjugate transpose of |ϕ⟩. It is easy to verify that measuring
2
enabling a wide-ranging quantum integrated network using |ψ⟩ in Bs will give the outcome |0⟩ with probability |α|
2
NTNs are elaborated in Section IV. Future research directions and outcome |1⟩ with probability |β| . More importantly, once
3
Section I
Introduction
A. Quantum Information: Basic Theory
B. Quantum Key Distribution (QKD)
C. Beyond-QKD Applications
Section II
1) Quantum Conference Key Agreement
Quantum Communications
2) Quantum Direct Secure Communications
3) Quantum Secret Sharing
4) Anonymous Quantum Communications
A. General Description
B. Quantum Communications and NTNs:
Section III
Opportunities
Non-Terrestrial Networks 1) Optical Links
Paper structure
2) Li-Fi Links
A. Channel Reliability
B. Network Flexibility and Reconfigurability
Section IV C. Network Scalability
Quantum NTN Integration Challenges 1) Trusted Relays
2) Untrusted Measurement Nodes
3) Quantum Repeaters
Section VI
Conclusions
measured, the state will no longer remain in the superposition The two qubits are correlated and in a joint superposition.
of two states. Instead, it will assume the state corresponding Measuring one of the qubits will instantly define the state of
to the obtained measurement outcome. In QKD, for instance, the second qubit. This type of state is called an entangled
this collapse of state upon measurement can be used to detect state. Entanglement is a type of correlation that is known
the presence of an eavesdropper. and experimentally verified to be stronger than any classical
More interesting quantum phenomenon can be observed correlation [25]–[29]. It is a key ingredient in long-distance
once we consider the state of multiple quantum systems. quantum communications and in several representative quan-
Entanglement is one such phenomenon, which can be observed tum communications protocols [18]. Another important prop-
in quantum systems consisting of as few as two qubits. The erty of quantum states is established by the quantum no-
state of an arbitrary two-qubit system can be represented as cloning theorem [30]. This theorem states that there does
not exist any physical processes that can perfectly clone an
|ψ⟩AB = α |0⟩A ⊗ |0⟩B + β |0⟩A ⊗ |1⟩B +
arbitrary unknown quantum state. This theorem is one of the
γ |1⟩A ⊗ |0⟩B + δ |1⟩A ⊗ |1⟩B (2) key enablers of quantum cryptography and QKD schemes.
= α |00⟩AB + β |01⟩AB + γ |10⟩AB + δ |11⟩AB , (3)
B. Quantum Key Distribution (QKD)
where the state is normalized as before, subscripts indicate
The QKD protocols utilize the principle of superposition
that the first qubit is part of system A and second qubit is part
of quantum states, collapse upon measurement, and the no-
of system B, ⊗ denotes the tensor (Kronecker) product, and
cloning theorem to distribute secret bits (keys) between spa-
|ij⟩ is a shorthand notation for |i⟩ ⊗ |j⟩. √ tially distant nodes [31]–[34]. The main idea behind QKD
Consider the two-qubit state of (3) with α = δ = 1/ 2 and
comes from the fact that it is not possible to perfectly
β = γ = 0, i.e,
distinguish nonorthogonal quantum states [35], [36].1 The
1
|ϕ+ ⟩AB = √ (|00⟩AB + |11⟩AB ) . 1 Two quantum states |ϕ⟩ and |ψ⟩ are said to be orthogonal if ⟨ϕ | ψ⟩ = 0.
2
4
layer integrated NTN systems, which can support real-time implementation of free-space QKD systems within satellite-
communications, massive data transmission, and systematized based quantum communications. Moreover, quantum commu-
information services [58]. nications with orbiting satellites have also been studied by
The satellite research and industrial communities have a growing number of feasibility studies [5], [63], [64]. In
engaged in the 3GPP standardization process to integrate addition, a demonstration for photon-pair generation and polar-
satellite networks into the 5G ecosystem to accomplish wide ization correlation under space conditions has been reported
coverage and swift expansion as well as to benefit from the in [65] for in-orbit operation using a 1.65-kg nanosatellite.
economies of scale of the 5G services. In this direction, More importantly, quantum communications via satellites have
the 3GPP has specified the main challenges related to the received a substantial boost after the launch of Micius, the
mobility and orbital height of the satellite in Release 16 [59]. world’s first quantum satellite, by the Chinese academy of
Subsequently, Release 17 establishes basic mechanisms to sciences [66].
manage the identified challenges in Release 16 and provides a A single space-borne or airborne platform can connect two
first set of specifications to support NTNs in complementing distant points with a maximum limit restricted by the platform
the 5G system along with the TNs. Further, Release 17 aims altitude and the elevation angle through the atmosphere. Al-
at improving 5G system performance, where NTN channel though GSO satellites have the ability to cover approximately
models and necessary adaptations to support NTN are studied a third of the globe, the achievable entanglement rates will be
and recognized. The main difference among these potential heavily deteriorated due to the vast communication range and
solutions are essentially related to the onboard satellite func- low elevations at the extremities of the satellites trajectory,
tionalities, i.e. satellites can act either as relay nodes between especially when considering dual path losses for non-memory
5G user terminals, or as 5G access points (5G-gNodeB) assisted quantum communications. Thus, global quantum con-
to extend 5G radio access network (5G-RAN) coverage, or nectivity can be realized through multi-segment quantum
as backbone/backhaul supports. In addition, the additional links, which requires more complicated architectures such as
study in [60] investigates the possible employment of satellite entanglement swapping and quantum memories, inter alia
networks as active nodes in the 5G access operations. Nonethe- [67]. Thus, a constellation of satellites and/or aerial platforms
less, NTN integration brings about new challenges associated equipped with quantum devices (e.g. entanglement sources and
with the deploying and adapting the satellite networks to the quantum memories) can establish dynamically configurable
technologies that are originally designed for the TNs [61]. multi-link connections between any two points within the
Establishing multi-layer NTNs to connect multitude of entire terrestrial and non-terrestrial integrated network.
platforms in different orbits/altitudes will enable combining Indeed, NTNs can be seen as a key driver for the devel-
multiple space/aerial assets to allow a more agile and ef- opment of robust long-range quantum communications espe-
ficient use of system resources. This NTN architecture is cially when considering the recent remarkable advancements
more economically efficient and more suitable for delivering in quantum nonlinear optics, entangled photon generation
heterogeneous services and serving diversified applications. methodology, and single-photon detection. Generally, quantum
Furthermore, NTNs can satisfy the increasing complexity of communications is conducted by transferring quantum states
application requirements with a minimum number of gate- from one place to another through a quantum channel. Such
ways on the ground [62]. For instance, utilizing the space- quantum channels, in the optical domain, include optical fiber,
based Internet providers, such as Starlink and SES O3B, to FSO, or Li-Fi channels, as depicted in the schematic diagram
provide broadband connectivity to the airborne and space- in Fig. 4. Within the structure of NTNs, we will next review
borne platforms can be a promising technique for nurturing the offered features and connection schemes that will facilitate
the development of multi-layer NTN infrastructures. More- developing a global quantum network in a seamless fashion.
over, developing the seamless connectivity among multipur- 1) Optical Links: Optical communications technologies
pose space-air-ground communications nodes over different have an essential role in the multi-layer NTNs, especially
altitudes, layers, and orbits will enhance the interoperability within NGSO systems and mega-constellations, to establish
in future communications networks. Nonetheless, the open efficient architectures using optical IALs, ISLs, IOLs, and
connectivity and the interconnection complexity in such an ground-to-space/space-to-ground links. Furthermore, optical
architecture as well as the lower computational capabilities of links can achieve higher data rates than conventional RF com-
the small platforms are seen as the most paramount hurdles in munications because the optical band provides much broader
this development. bandwidth, and thus, increases network capacity and alleviates
the interference issues [68]. Particularly, laser-based FSO ISLs
and IOLs offer intrinsic high gains due to the narrow-beam
B. Quantum Communications and NTNs: Opportunities nature of laser beams. Therefore, FSO technology is currently
Satellites and aerial platforms in the NTN architecture gaining momentum not only in experiments and demonstra-
can assist establishing quantum communications on larger tions but also for commercial purposes in the context of
scales beyond the repeaterless bound. Thus, this interesting connecting space missions. To react to this reality, the consul-
association between quantum technologies and NTNs can tative committee for space data systems (CCSDS) has defined
achieve an integrated groundbreaking infrastructure for future new specifications to deal with coding and synchronization of
communications systems. In this context, several experimen- high photon efficiency links [69]. The objective of CCSDS is
tal demonstrations have been conducted to investigate the developing standards in wavelength, modulation, coding, in-
7
Fig. 4. Basic schematic diagram of an NTN quantum channel including encoding classical information into quantum states, Secure quantum transmission
using free space optical or Li-Fi channel, and then, decoding the received quantum states to obtain the classical information.
have the measurement devices on board the satellite, which are 10 ms are sufficient for a 1000 km fiber-based repeater
often more complicated systems than the source in the MDI- network. Meanwhile, experimental demonstrations have
QKD protocol. Synchronization is also a challenge given that been performed for quantum memories of coherence
the photons sent by the two users have to reach the satellite at times well above this limit, e.g., from 1.3 s to six hours
the same time. That said, implementation of MDI QKD via a [115], [115], [116]. However, these quantum memories
satellite node is a prelude to the implementation of memory- typically store quantum information in matter qubits and/or
assisted QKD [106], [107] and quantum repeaters in space, and require cryogenic temperatures. Storage in matter qubits
can therefore be part of the global efforts to make quantum requires development of efficient interfaces between flying
communications services accessible worldwide. and matter qubits, which in itself is a challenge [117].
3) Quantum Repeaters: The fundamental solution to the Requirement of cryogenic temperatures make utilization of
issue of scalability is utilizing quantum repeaters, which are quantum memories a challenge in non-laboratory conditions.
the essential parts of future quantum communications systems Availability of practical quantum memories with sufficient
[108], [109]. In the case of QKD, quantum repeaters enable coherence times will enable not only the long-distance
end-to-end security for QKD users. Conventional quantum quantum communications but also will greatly diversify the
repeaters aim at creating entanglement within smaller seg- suite of useful quantum communications protocols that can
ments, followed by entanglement swapping (ES) at intermedi- be implemented in such networks.
ate nodes to extend the entanglement to longer distances [110].
Embedding quantum repeaters in NTNs allows for realizing There are multiple competing approaches that are being
entanglement distribution over large distances with a smaller considered as candidates for quantum memories with different
number of intermediate nodes as compared to terrestrial com- strengths and weaknesses [115], [118]. In this direction, a
munications systems [111]. In principle, quantum repeater variety of different dopant/host combinations have been stud-
nodes can be placed on board a satellite or an aerial platform, ied for various quantum mechanical phenomena, and many
with photonic channels enabling entanglement distribution elements necessary for a practical quantum memory have been
among orbiting/flying nodes. ES procedures can then be done shown, such as long storage times and high efficiency optical
at such nodes [1]. Creating an end-to-end entangled state, storage and recall. However, the research still focuses on
when the nodes are moving in space, would inevitably add optimizing single parameters, while a system demonstrating
an extra layer of complexity to the design of the NTN based all necessary aspects simultaneously remains to be developed.
system. Therefore, it is critical to efficiently optimize the To this end, there are ongoing efforts for the integration of
quantum repeater schemes, which is nontrivial because the these memories in quantum networks such that the modality
number of possible schemes that can be performed grows of quantum memory can be made independent of the operating
exponentially with the number of links or nodes [112]. modality of the quantum network [119]. Once developed,
Quantum repeaters enable the implementation of all quan- these quantum interconnects will allow seemless interface
tum networking tasks that require preshared entanglement be- between quantum nodes working with different modalities.
tween distant nodes as an important prerequisite; see Sec. II-C The experimental developments can be boosted by the im-
for some examples. This makes the ability of quantum nodes, proved funding opportunities and allocation of more funds
i.e. end nodes and repeaters alike, to store and efficiently targeting the key components of the quantum network ar-
utilize quantum entanglement a crucial functionality. More chitecture. Meanwhile, theoretical efforts can be concentrated
importantly, tasks such as quantum teleportation and entan- to the development of useful quantum technologies realizable
glement swapping are elementary and fundamental in nature with currently available hardware. Prepare-and-measure type
for the basic working of a quantum communications network protocols, e.g., BB84 are well within the reach of current
[113]. To fulfil the requirement of preshared entanglement, experimental capabilities. Developments of novel quantum
quantum memories that are capable of storing quantum in- applications with the same structure can provide a boost in
formation from generation to utilization while maintaining the utilization of quantum technologies in near future.
acceptable fidelity levels are required. A quantum memory The above developments could, however, take years to
is a device that can store an incoming photon and efficiently be space ready. Another challenging task in the adoption
retrieve the same photonic state on-demand without disturbing of quantum communications networks in NTNs is then the
the quantum state. Thus, an NTN-deployable quantum mem- limited number of demonstrable network tasks of practical in-
ory would be essential for long-range quantum communica- terest. Most applications we mentioned in earlier sections, e.g.,
tions and for performing QKD across global distances without quantum secret sharing, as well as other emerging ones such as
intermediate trusted nodes. quantum secret comparison, quantum oblivious transfer, and
The development and deployment of quantum memories, quantum voting, require quantum resources beyond current
by itself, is a huge technical challenge even for terrestrial technological reach, e.g., large amounts of long-term entan-
applications. One of the key issues is the required coherence glement and error-corrected communication and storage [120].
time of quantum memories. The authors in [114] consider These quantum resources are not likely to be available very
a quantum repeater network with a large number (≫ 1) of soon [121]. In the mean time, it is essential to develop quantum
quantum memories at each node to minimize the waiting network applications that are less resource-demanding and
time due to classical communications. Their optimistic can be demonstrated with the currently available or near-term
estimates indicate that coherence times in the excess of quantum communications equipment.
12
V. F UTURE D IRECTIONS AND A PPLICATIONS security of data. Quantum communications provides methods
of secure exchange of health records by QKD and anony-
The disruptive potentials of the convergence between quan- mous private information retrieval systems [52]. Additionally,
tum technologies and NTNs do not lay only in provisioning security of medical media is imperative for patient safety
secure communications but it also promises to open new fron- and confidentiality, and thus, recently the concept of quantum
tiers for digital innovation. In this section, several promising medical image encryption has attracted a significant attention
research directions and novel applications will be presented. from both scientists and healthcare system designers [123]. In
1) Space-based Quantum Clouds: The concept of space- this framework, medical images and records can be securely
based clouds is developed to further boost information service communicated within different health centers using quantum
systems by utilizing satellites not only as relay devices but encryption/decryption algorithms. Another interesting feature
also for establishing data storage paradigms over GSO and/or is to offer certified deletion of health records that generates a
NGSO satellites. The main advantage of space-based data classical certificate of deletion of health records [124]. These
centres is the absolute immunity against natural disasters features make quantum communications systems attractive for
occurring on the ground. In the realm of multi-layer NTNs, digital healthcare solutions and other databases of sensitive
the geographical boundaries and terrestrial obstacles are not nature. Furthermore, quantum computing can also help in
deterrent factors for transferring data globally, and thus, mega- this context via optimizing the healthcare system models to
corporations that have intercontinental sites will be able to advance the patient care experience, improve the population
share massive data through a space-based cloud and benefit health, and minimize per capita healthcare costs [125].
from the faster transmissions comparing to the terrestrial cloud 4) Quantum for Banking and Finance Industries: Bank-
networks. Beyond this, empowering space-based clouds with ing and finance industry have strict requirements for encryp-
quantum technologies improves the security aspects and offers tion due to sensitive nature of their operations and data. On
quantum computing capabilities for big data applications. the one hand, banks and financial institutions require real-time
This ecosystem will create an accessible quantum algorithm encryption capabilities for the large-volume of their real-time
development environment for the quantum developers around transactions, which is a major growing challenge. Introducing
the world and may also lead to emerging quantum-as-a- quantum to NTNs offers a solution to this challenge in the
service providers. Moreover, given the extreme high costs of form of satellite-based QKD with the possibility of global
hosting and building quantum computing services, space-based connectivity. On the other hand, quantum computing also
quantum clouds can improve the financial viability through offers appealing solutions for the finance sector in the form of
allowing simultaneous access for multiple beneficiaries and quantum algorithms for risk-based asset management, portfo-
users, and hence, increase machine utilization. lio optimization, and other complicated financial procedures
2) Quantum Computing for Space Missions: One of [126], [127]. Specifically, quantum computing can further
the major challenges in the operation of the CubeSats and develop the investment industry via applying quantum-based
small satellites in lower altitudes is the rather low informa- machine learning algorithms for managing massive numbers
tion processing capabilities of the onboard processors [122]. of underlying assets while considering various sets of rele-
Consequently, complex processing tasks, such as online opti- vant data for learning, adapting, and enhancing investment
mization of the resource allocation strategy, data processing decisions. Beyond this, with the availability of cloud quantum
for Earth observation applications, or data aggregation for computers and the possibility of blind quantum computation,
IoT, can hardly be executed using a single satellite processor. there exists an opportunity to put these quantum solutions to
Alternatively, quantum technologies along with space-based test and harness their benefits [128].
quantum clouds can be utilized in such scenarios in order 5) Quantum Technologies for Government and Defense:
to offload the computational burden from small satellites. Communication within the governmental organizations and de-
Thus, a space quantum network can be structured and in- fense establishments are under persistent threats of espionage
terconnected via FSO links, which will benefit from several and cyber-attacks. The unconditional security offered by the
advantages of FSO over RF systems and the extraordinary QKD and other quantum encryption techniques is an effective
computational capacity of the quantum servers with certainly countermeasure to protect against these threats. Furthermore,
enhanced security performance. This setup can also alleviate quantum technologies including communications, computing,
the latency issue especially for resource-hungry and delay- and sensing are offering a set of beneficial tools and mecha-
sensitive applications. In addition, small satellites can be nisms for defense and military applications [129]. For instance,
deployed as space-based quantum sensors to enhance the quantum sensors can be used to detect submarines and stealth
practical performance of navigation and Earth observation aircraft [130]. Specifically, utilizing quantum sensors for po-
systems. In particular, these quantum sensors on the small sitioning, navigation and timing can induce reliable inertial
satellite nodes would to a large extent improve the knowledge navigation systems, which empower navigation without the
of our planet through Earth observation missions that can need for external references. A gravimeter based on quantum
measure small-scale variations of Earth’s gravitational field sensing has been proposed in [131] to detect changes in
resulted from water flows, movement of ice, continental drifts, the gravitational field. This gravimeter uses a quantum mag-
and so forth. netomechanical system consisting of a magnetically trapped
3) Quantum Communications for Healthcare: One of superconducting resonator, and it is a passive system that
the sensitive issues in digital healthcare is encryption and probes without transmitting signals. This allows the detection
13
of objects, which may not emit any kind of electromagnetic [12] A. Trichili, M. A. Cox, B. S. Ooi, and M.-S. Alouini, “Roadmap to
signals, by only observing the surrounding transient gravita- free space optics,” J. Opt. Soc. Am., vol. 37, no. 11, pp. A184–A201,
tional changes. 2020.
[13] C. L. Degen, F. Reinhard, and P. Cappellaro, “Quantum sensing,”
Reviews of modern physics, vol. 89, no. 3, p. 035002, 2017.
VI. C ONCLUSIONS [14] B. L. Edwards and D. J. Israel, “Update on NASA’s laser communica-
In this paper, we have discussed how quantum technologies tions relay demonstration project,” in SpaceOps Conf., 2018, p. 2395.
[15] S. A. Hamiltona et al., “Overview of NASA’s national space quantum
interplay with, benefit from, and shape the future of NTN
laboratory program,” International Astronautical Congress (IAC), Oct
research within the wireless communications landscape. Amal- 2019.
gamation of quantum information technologies with NTN can [16] A. Thoss, V. Henderson, M. Krutzik, and A. Wicht,
provide benefits to both NTNs and quantum technologies. On “Laser systems enable quantum technology in space,”
the one hand, NTNs can benefit from the secure communi- www.laserfocusworld.com/lasers-sources/article/14188837/laser-
cation offered by quantum technologies. On the other hand, systems-enable-quantum-technology-in-space, accessed 22-07-2022.
quantum communications networks supported by the NTN [17] J. Tachella et al., “Real-time 3D reconstruction from single-photon LI-
DAR data using plug-and-play point cloud denoisers,” Nat. Commun.,
infrastructure can be more resilient and operated at the global vol. 10, no. 1, pp. 1–6, 2019.
scale. In this direction, the key integration challenges are [18] R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, “Quan-
elaborated with providing some intriguing potential solutions. tum entanglement,” Rev. Mod. Phys., vol. 81, no. 2, p. 865, 2009.
In particular, channel reliability in such dynamic propagation [19] S. Pirandola, J. Eisert, C. Weedbrook, A. Furusawa, and S. L. Braun-
environment, scalability and networking issues, resource man- stein, “Advances in quantum teleportation,” Nat. Photonics, vol. 9,
agement and coordination problems are discussed along with no. 10, pp. 641–652, 2015.
[20] M. G. Kuzyk, “Quantum no-cloning theorem and entanglement,” Am.
the theoretical and experimental complications. Afterwards,
J. Phys., vol. 87, no. 5, pp. 325–327, 2019.
various innovative visions and research directions motivated [21] R. Bedington, J. M. Arrazola, and A. Ling, “Progress in satellite
by utilizing quantum technologies in the non-terrestrial com- quantum key distribution,” npj Quantum Inf., vol. 3, no. 1, pp. 1–13,
munications systems are pointed out. Ultimately, this article 2017.
covers the quantum communications aspects and the integra- [22] J. S. Sidhu et al., “Advances in space quantum communications,” IET
tion challenges with NTNs to constitute a global-spanning Quantum Communication, vol. 2, no. 4, pp. 182–217, 2021.
[23] G. J. Alberts et al., “Accelerating quantum computer developments,”
quantum network, in the hope that it would trigger more in-
EPJ Quantum Technology, vol. 8, no. 1, p. 18, 2021.
depth investigations and serve as a continuous incentive for [24] M. M. Wilde, Quantum Information Theory, 2nd ed. UK: Cambridge
further quantum communications research activities. University Press, 2017.
[25] J. S. Bell, “On the Einstein Podolsky Rosen paradox,” Phys. Phys. Fiz.,
vol. 1, pp. 195–200, Nov 1964.
R EFERENCES
[26] J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, “Proposed
[1] S. Pirandola et al., “Advances in quantum cryptography,” Adv. Opt. experiment to test local hidden-variable theories,” Phys. Rev. Lett.,
Photon., vol. 12, no. 4, pp. 1012–1236, Dec 2020. vol. 23, pp. 880–884, Oct. 1969.
[2] C. De Lima et al., “Convergent Communication, Sensing and Local- [27] B. Hensen et al., “Loophole-free Bell inequality violation using elec-
ization in 6G Systems: An Overview of Technologies, Opportunities tron spins separated by 1.3 kilometres,” Nature, vol. 526, no. 7575, pp.
and Challenges,” IEEE Access, vol. 9, pp. 26 902–26 925, 2021. 682–686, Oct 2015.
[3] H. J. Kimble, “The quantum internet,” Nature, vol. 453, no. 7198, pp. [28] C. Abellán et al., “Challenging local realism with human choices,”
1023–1030, Jun 2008. Nature, vol. 557, no. 7704, pp. 212–216, May 2018.
[4] S. Wehner, D. Elkouss, and R. Hanson, “Quantum internet: A vision [29] A. S. Cacciapuoti, J. Illiano, S. Koudia, K. Simonov, and M. Caleffi,
for the road ahead,” Science, vol. 362, no. 6412, p. eaam9288, 2018. “The quantum internet: Enhancing classical internet services one qubit
[5] N. Hosseinidehaj, Z. Babar, R. Malaney, S. X. Ng, and L. Hanzo, at a time,” IEEE Netw., vol. 36, no. 5, pp. 6–12, 2022.
“Satellite-based continuous-variable quantum communications: State- [30] W. K. Wootters and W. H. Zurek, “A single quantum cannot be cloned,”
of-the-art and a predictive outlook,” IEEE Commun. Surveys Tuts., Nature, vol. 299, no. 5886, pp. 802–803, Oct 1982.
vol. 21, no. 1, pp. 881–919, 2019. [31] C. H. Bennett and G. Brassard, “Quantum cryptography: Public key
[6] A. S. Cacciapuoti et al., “Quantum internet: Networking challenges distribution and coin tossing,” in Proceedings of IEEE International
in distributed quantum computing,” IEEE Netw., vol. 34, no. 1, pp. Conference on Computers, Systems, and Signal Processing. Bangalore,
137–143, 2020. India: IEEE, Dec. 1984, pp. 175–179.
[7] J. Illiano, M. Caleffi, A. Manzalini, and A. S. Cacciapuoti, “Quantum [32] M. Curty et al., “Finite-key analysis for measurement-device-
internet protocol stack: A comprehensive survey,” Computer Networks, independent quantum key distribution,” Nat. Commun., vol. 5, Apr.
vol. 213, p. 109092, 2022. 2014.
[8] S. Pirandola, R. Laurenza, C. Ottaviani, and L. Banchi, “Fundamental [33] M. Tomamichel, C. C. W. Lim, N. Gisin, and R. Renner, “Tight finite-
limits of repeaterless quantum communications,” Nat. Commun., vol. 8, key analysis for quantum cryptography,” Nat. Commun., vol. 3, p. 634,
no. 1, p. 15043, Apr 2017. Jan. 2012.
[9] C. Simon, “Towards a global quantum network,” Nat. Photonics, [34] Y. Cao et al., “The evolution of quantum key distribution networks:
vol. 11, no. 11, pp. 678–680, 2017. On the road to the qinternet,” IEEE Commun. Surveys Tuts., vol. 24,
[10] 3GPP TR 38.821 V16.0.0, “3rd Generation Partnership Project; Tech- no. 2, pp. 839–894, 2022.
nical Specification Group Radio Access Network; Solutions for NR to [35] K. M. R. Audenaert et al., “Discriminating states: The quantum
support non-terrestrial networks (NTN) (Release 16),” 3rd Generation Chernoff bound,” Phys. Rev. Lett., vol. 98, p. 160501, Apr. 2007.
Partnership Project, Tech. Rep., 2019. [36] J. Calsamiglia, R. M. noz Tapia, L. Masanes, A. Acı́n, and E. Bagan,
[11] M. Giordani and M. Zorzi, “Non-terrestrial networks in the 6G era: “Quantum Chernoff bound as a measure of distinguishability between
Challenges and opportunities,” IEEE Netw., vol. 35, no. 2, pp. 244– density matrices: Application to qubit and Gaussian states,” Phys. Rev.
251, 2021. Lett., vol. 77, p. 032311, Mar. 2008.
14
[37] G. Murta, F. Grasselli, H. Kampermann, and D. Bruß, “Quantum [59] 3GPP TR 38.821 V16.0.0, “3rd Generation Partnership Project; Tech-
conference key agreement: A review,” Adv. Quantum Technol., vol. 3, nical Specification Group Radio Access Network; Solutions for NR to
no. 11, p. 2000025, 2020. support non-terrestrial networks (NTN) (Release 16),” 3rd Generation
[38] K. Boström and T. Felbinger, “Deterministic secure direct communi- Partnership Project, Tech. Rep., 2019.
cation using entanglement,” Phys. Rev. Lett., vol. 89, p. 187902, Oct [60] 3GPP, “Study on using satellite access in 5G,” 3rd Generation Part-
2002. nership Project, Tech. Rep., 2018.
[39] S. Qaisar, J. ur Rehman, Y. Jeong, and H. Shin, “Practical deterministic [61] M. Bacco et al., “Networking challenges for non-terrestrial networks
secure quantum communication in a lossy channel,” Prog. Theor. Exp. exploitation in 5G,” in IEEE 2nd 5G World Forum (5GWF), 2019, pp.
Phys., vol. 2017, no. 4, pp. 1–12, Apr. 2017. 623–628.
[40] T. Li and G.-L. Long, “Quantum secure direct communication based [62] N. U. L. Hassan, C. Huang, C. Yuen, A. Ahmad, and Y. Zhang, “Dense
on single-photon bell-state measurement,” New J. Phys., vol. 22, no. 6, small satellite networks for modern terrestrial communication systems:
p. 063017, jun 2020. Benefits, infrastructure, and technologies,” IEEE Wireless Commun.,
[41] X.-f. Wang et al., “Transmission of photonic polarization states from vol. 27, no. 5, pp. 96–103, 2020.
geosynchronous Earth orbit satellite to the ground,” Quantum Eng., [63] C. Cheng, R. Chandrasekara, Y. C. Tan, and A. Ling, “Space-qualified
vol. 3, no. 3, p. e73, 2021. nanosatellite electronics platform for photon pair experiments,” J.
[42] M. Hillery, V. Bužek, and A. Berthiaume, “Quantum secret sharing,” Lightw. Technol., vol. 33, no. 23, pp. 4799–4804, 2015.
Phys. Rev. A, vol. 59, pp. 1829–1834, Mar 1999. [64] L. Moli-Sanchez, A. Rodriguez-Alonso, and G. Seco-Granados, “Per-
[43] R. Cleve, D. Gottesman, and H.-K. Lo, “How to share a quantum formance analysis of quantum cryptography protocols in optical earth-
secret,” Phys. Rev. Lett., vol. 83, pp. 648–651, Jul 1999. satellite and intersatellite links,” IEEE J. Sel. Areas Commun., vol. 27,
[44] Y.-H. Chou, G.-J. Zeng, X.-Y. Chen, and S.-Y. Kuo, “Multiparty no. 9, pp. 1582–1590, 2009.
weighted threshold quantum secret sharing based on the Chinese [65] Z. Tang et al., “Generation and analysis of correlated pairs of photons
remainder theorem to share quantum information,” Sci. Rep., vol. 11, aboard a nanosatellite,” Phys. Rev. Appl., vol. 5, no. 5, p. 054022, 2016.
no. 1, p. 6093, Mar 2021. [66] S.-K. Liao et al., “Satellite-to-ground quantum key distribution,” Na-
[45] C. Liu et al., “Continuous-variable quantum secret sharing based on ture, vol. 549, no. 7670, pp. 43–47, 2017.
thermal terahertz sources in inter-satellite wireless links,” Entropy,
[67] L. Bacsardi, “Resources for satellite-based quantum communication
vol. 23, no. 9, 2021.
networks,” in IEEE 22nd Int. Conf. on Intell. Eng. Syst. (INES), 2018,
[46] M. Christandl and S. Wehner, “Quantum anonymous transmissions,”
pp. 000 097–000 102.
in Advances in Cryptology - ASIACRYPT 2005, B. Roy, Ed. Berlin,
[68] S. Gong et al., “Network availability maximization for free-space
Heidelberg: Springer Berlin Heidelberg, 2005, pp. 217–235.
optical satellite communications,” IEEE Wireless Commun. Lett., vol. 9,
[47] V. Lipinska, G. Murta, and S. Wehner, “Anonymous transmission in a
no. 3, pp. 411–415, 2020.
noisy quantum network using the w state,” Phys. Rev. A, vol. 98, p.
[69] CCSDS, 142.0-B-1, Recommended standard - Optical Communications
052320, Nov 2018.
Coding Synchronization, August 2019.
[48] A. Unnikrishnan et al., “Anonymity for practical quantum networks,”
[70] CCSDS, 141.0-B-1, Recommended standard + Pink Sheets for O3K -
Phys. Rev. Lett., vol. 122, p. 240501, Jun 2019.
Optical Communications Physical Layer, February 2020.
[49] W. Huang et al., “Quantum anonymous ranking,” Phys. Rev. A, vol. 89,
[71] B. L. Edwards, “Latest status of the CCSDS optical communications
p. 032325, Mar 2014.
working group,” in IEEE Int. Conf. on Space Optical Systems and
[50] A. Khan, J. ur Rehman, and H. Shin, “Quantum anonymous notification
Applications (ICSOS), 2022, pp. 1–6.
for network-based applications,” Quantum Inf. Process., vol. 20, no. 12,
p. 397, Nov 2021. [72] T. Tolker-Nielsen and G. Oppenhauser, “In-orbit test result of an
[51] A. Khan, U. Khalid, J. ur Rehman, K. Lee, and H. Shin, “Quantum operational optical intersatellite link between artemis and spot4, silex,”
anonymous collision detection for quantum networks,” EPJ Quantum in Free-Space Laser Communication Technologies XIV, vol. 4635.
Technol., vol. 8, no. 1, p. 27, Dec 2021. International Society for Optics and Photonics, 2002, pp. 1–15.
[52] A. Khan, U. Khalid, J. ur Rehman, and H. Shin, “Quantum anonymous [73] M. R. Garcia-Talavera et al., “Preliminary results of the in-orbit test
private information retrieval for distributed networks,” IEEE Trans. of ARTEMIS with the optical ground station,” in Free-Space Laser
Commun., vol. 70, no. 6, pp. 4026–4037, 2022. Communication Technologies XIV, vol. 4635. International Society
[53] J. Yin et al., “Satellite-based entanglement distribution over 1200 for Optics and Photonics, 2002, pp. 38–49.
kilometers,” Science, vol. 356, no. 6343, pp. 1140–1144, 2017. [74] M. Toyoshima et al., “Results from phase-1, phase-2 and phase-3
[54] ITU-R, “Simulation methodologies for determining statistics of kirari optical communication demonstration experiments with the NICT
short-term interference between co-frequency, codirectional non- optical ground station (KODEN),” in 25th AIAA Int. Commun. Satellite
geostationary-satellite orbit fixed-satellite service systems in circular Syst. Conf., 2007.
orbits and other non-geostationary fixed-satellite service systems in [75] V. Cazaubiel et al., “LOLA: A 40000 km optical link between an
circular orbits or geostationary-satellite orbit fixed-satellite service aircraft and a geostationary satellite,” in ESA Special Publication, vol.
networks,” International Telecommunication Union, Standard, 2003, 621, 2006.
ITU-R S.1325-3. [76] M. Giordani and M. Zorzi, “Non-terrestrial networks in the 6g era:
[55] H. Al-Hraishawi, H. Chougrani, S. Kisseleff, E. Lagunas, and Challenges and opportunities,” IEEE Netw., vol. 35, no. 2, pp. 244–
S. Chatzinotas, “A survey on non-geostationary satellite systems: The 251, 2020.
communication perspective,” IEEE Commun. Surveys Tuts., 2022. [77] A. Sevincer, A. Bhattarai, M. Bilgi, M. Yuksel, and N. Pala, “LIGHT-
[56] T. Alladi, Naren, G. Bansal, V. Chamola, and M. Guizani, “SecAu- NETs: Smart LIGHTing and mobile optical wireless NETworks — a
thUAV: A novel authentication scheme for UAV-ground station and survey,” IEEE Commun. Surveys Tuts., vol. 15, no. 4, pp. 1620–1641,
UAV-UAV communication,” IEEE Trans. Veh. Technol., vol. 69, no. 12, 2013.
pp. 15 068–15 077, 2020. [78] G. S. Spagnolo et al., “Optical wireless communication and Li-Fi: A
[57] H. Al-Hraishawi, S. Chatzinotas, and B. Ottersten, “Broadband non- new infrastructure for wireless communication in saving energy era,”
geostationary satellite communication systems: Research challenges in IEEE Int. Workshop on Metrology for Industry 4.0 IoT, 2020, pp.
and key opportunities,” in IEEE Int. Conf on Commun. (ICC), Jun. 674–678.
2021, pp. 1–6. [79] X. Wu, M. D. Soltani, L. Zhou, M. Safari, and H. Haas, “Hybrid LiFi
[58] H. Al-Hraishawi et al., “Multi-layer space information networks: and WiFi networks: A survey,” IEEE Commun. Surveys Tuts., vol. 23,
Access design and softwarization,” IEEE Access, 2021. no. 2, pp. 1398–1420, 2021.
15
[80] P. Pavarangkoon et al., “Bandwidth utilization enhancement using high- [101] S. Xu, X.-W. Wang, and M. Huang, “Software-defined next-generation
performance and flexible protocol for INTELSAT satellite network,” in satellite networks: Architecture, challenges, and solutions,” IEEE Ac-
IEEE 7th Annual Inf. Technol., Electronics and Mobile Commun. Conf. cess, vol. 6, pp. 4027–4041, 2018.
(IEMCON), 2016, pp. 1–7. [102] R. Picchi, F. Chiti, R. Fantacci, and L. Pierucci, “Towards quantum
[81] M. Leba, S. Riurean, and A. Lonica, “LiFi-the path to a new way satellite internetworking: A software-defined networking perspective,”
of communication,” in IEEE Conf. on Inf. Syst. and Technol. (CISTI), IEEE Access, vol. 8, pp. 210 370–210 381, 2020.
2017, pp. 1–6. [103] X. Deng, C. Tian, X. Su, and C. Xie, “Avoiding disentanglement of
[82] P. M. Kalaivaanan et al., “On-the-move measurement analysis for Ka- multipartite entangled optical beams with a correlated noisy channel,”
band high throughput satellite and LiFi communication networks in Sci. Rep., vol. 7, no. 1, pp. 1–9, 2017.
tropical region,” IEEE Access, vol. 9, pp. 71 344–71 355, 2021. [104] S.-K. Liao et al., “Satellite-relayed intercontinental quantum network,”
[83] D. N. Amanor, W. W. Edmonson, and F. Afghah, “Link performance Phys. Rev. Lett., vol. 120, p. 030501, Jan 2018.
improvement via design variables optimization in LED-based VLC sys- [105] F. Xu, “Measurement-device-independent quantum communication
tem for inter-satellite communication,” in IEEE Int. Conf. on Wireless with an untrusted source,” Phys. Rev. A, vol. 92, p. 012333, Jul 2015.
for Space and Extreme Environments (WiSEE), 2017, pp. 7–12. [106] C. Panayi, M. Razavi, X. Ma, and N. Lütkenhaus, “Memory-assisted
[84] J. L. Duligall, M. S. Godfrey, K. A. Harrison, W. J. Munro, and J. G. measurement-device-independent quantum key distribution,” New Jour-
Rarity, “Low cost and compact quantum key distribution,” New Journal nal of Physics, vol. 16, no. 4, p. 043005, apr 2014.
of Physics, vol. 8, no. 10, p. 249, 2006. [107] M. Gündoğan et al., “Proposal for space-borne quantum memories for
[85] H. Chun et al., “Handheld free space quantum key distribution with global quantum networking,” npj Quantum Information, vol. 7, no. 1,
dynamic motion compensation,” Optics Express, vol. 25, no. 6, pp. p. 128, Aug 2021.
6784–6795, 2017. [108] M. Mastriani and S. S. Iyengar, “Satellite quantum repeaters for a
[86] O. Elmabrok and M. Razavi, “Wireless quantum key distribution in quantum internet,” Quantum Eng., vol. 2, no. 4, p. e55, 2020.
indoor environments,” JOSA B, vol. 35, no. 2, pp. 197–207, 2018. [109] M. Ghalaii and S. Pirandola, “Capacity-approaching quantum repeaters
[87] O. Elmabrok, M. Ghalaii, and M. Razavi, “Quantum-classical access for quantum communications,” Phys. Rev. A, vol. 102, no. 6, p. 062412,
networks with embedded optical wireless links,” JOSA B, vol. 35, no. 3, 2020.
pp. 487–499, 2018. [110] M. Razavi, M. Piani, and N. Lütkenhaus, “Quantum repeaters with
[88] S. Bahrani, O. Elmabrok, G. C. Lorenzo, and M. Razavi, “Wavelength imperfect memories: Cost and scalability,” Phys. Rev. A, vol. 80, no. 3,
assignment in quantum access networks with hybrid wireless-fiber p. 032301, 2009.
links,” JOSA B, vol. 36, no. 3, pp. B99–B108, 2019. [111] C. Liorni, H. Kampermann, and D. Bruß, “Quantum repeaters in space,”
[89] H. Li, X. Chen, J. Guo, and H. Chen, “A 550 Mbit/s real-time visible New J. Phys., vol. 23, no. 5, p. 053021, 2021.
light communication system based on phosphorescent white light led [112] K. Goodenough, D. Elkouss, and S. Wehner, “Optimizing repeater
for practical high-speed low-complexity application,” Opt. Express, schemes for the quantum internet,” Phys. Rev. A, vol. 103, p. 032610,
vol. 22, no. 22, pp. 27 203–27 213, 2014. Mar 2021.
[90] Y. Jiang et al., “Simultaneous light-emitting light-detecting function- [113] A. S. Cacciapuoti, M. Caleffi, R. Van Meter, and L. Hanzo, “When
ality of InGaN/GaN multiple quantum well diodes,” IEEE Electron entanglement meets classical communications: Quantum teleportation
Device Lett., vol. 38, no. 12, pp. 1684–1687, 2017. for the quantum internet,” IEEE Trans. Commun., vol. 68, no. 6, pp.
[91] J.-M. Wun et al., “GaN-based miniaturized cyan light-emitting diodes 3808–3833, 2020.
on a patterned sapphire substrate with improved fiber coupling for [114] M. Razavi, M. Piani, and N. Lütkenhaus, “Quantum repeaters with
very high-speed plastic optical fiber communication,” IEEE Photon. imperfect memories: Cost and scalability,” Phys. Rev. A, vol. 80, p.
J., vol. 4, no. 5, pp. 1520–1529, 2012. 032301, Sep 2009.
[92] H. T. Le, H. T. T. Pham, H.-C. Le, and N. T. Dang, “Satellite quantum [115] M. Zhong et al., “Optically addressable nuclear spins in a solid with
key distribution for vehicular visible light communication networks,” a six-hour coherence time,” Nature, vol. 517, no. 7533, pp. 177–180,
in IEEE Eighth Int. Conf. on Commun. and Electron. (ICCE), 2021, Jan 2015.
pp. 45–50. [116] M. Rančić, M. P. Hedges, R. L. Ahlefeldt, and M. J. Sellars, “Coher-
[93] G. Suciu, A. Scheianu, I. Petre, A. Drosu, and R. Darabană, “VLC ence time of over a second in a telecom-compatible quantum memory
quantum fusion,” in Int. Workshop on Antenna Technology (iWAT), storage material,” Nat. Phys., vol. 14, no. 1, pp. 50–54, Jan 2018.
2020, pp. 1–4. [117] D. Awschalom et al., “Development of quantum interconnects (quics)
[94] H. Kaushal and G. Kaddoum, “Optical communication in space: for next-generation information technologies,” PRX Quantum, vol. 2,
Challenges and mitigation techniques,” IEEE Commun. Surveys Tuts., p. 017002, Feb 2021.
vol. 19, no. 1, pp. 57–96, 2016. [118] Y. Wang et al., “Single-qubit quantum memory exceeding ten-minute
[95] E. Erdogan et al., “Site diversity in downlink optical satellite networks coherence time,” Nat. Photonics, vol. 11, no. 10, pp. 646–650, Oct
through ground station selection,” IEEE Access, vol. 9, pp. 31 179– 2017.
31 190, 2021. [119] D. Awschalom et al., “Development of quantum interconnects (QuICs)
[96] K.-X. Li et al., “Downlink transmit design for massive MIMO LEO for next-generation information technologies,” PRX Quantum, vol. 2,
satellite communications,” IEEE Trans. Commun., pp. 1–1, 2021. p. 017002, Feb 2021.
[97] M. Gabay and S. Arnon, “Quantum key distribution by a free-space [120] H. Zhang, Z. Ji, H. Wang, and W. Wu, “Survey on quantum information
MIMO system,” J. Lightw. Technol., vol. 24, no. 8, pp. 3114–3120, security,” China Commun., vol. 16, no. 10, pp. 1–36, 2019.
2006. [121] J. Preskill, “Quantum Computing in the NISQ era and beyond,”
[98] N. K. Kundu, S. P. Dash, M. R. McKay, and R. K. Mallik, “MIMO Quantum, vol. 2, p. 79, Aug. 2018.
Terahertz Quantum Key Distribution,” IEEE Communications Letters, [122] T. M. Lovelly et al., “A framework to analyze processor architectures
vol. 25, no. 10, pp. 3345–3349, 10 2021. for next-generation on-board space computing,” in IEEE Aerosp. Conf.,
[99] E. Hugues-Salas et al., “Monitoring and physical-layer attack mitiga- 2014, pp. 1–10.
tion in SDN-controlled quantum key distribution networks,” Journal of [123] A. A. Abd El-Latif, B. Abd-El-Atty, and M. Talha, “Robust encryption
Optical Communications and Networking, vol. 11, no. 2, pp. A209– of quantum medical images,” IEEE Access, vol. 6, pp. 1073–1081,
A218, 2019. 2018.
[100] Y. Zhao et al., “Resource allocation in optical networks secured by [124] T. Hiroka, T. Morimae, R. Nishimaki, and T. Yamakawa, “Quantum
quantum key distribution,” IEEE Commun. Mag., vol. 56, no. 8, pp. encryption with certified deletion, revisited: Public key, attribute-
130–137, 2018. based, and classical communication,” in Advances in Cryptology –
16