NHSS (Non-Hermitian Spectral Steering) introduces a fundamentally new way of performing quantum computation by steering quantum states through Exceptional Points (EPs) using measurement-induced non-unitary evolution.

Unlike traditional quantum computing—where unitary gates are used and noise must be suppressed—NHSS intentionally uses decoherence, dissipation, and measurement feedback as computational resources.

This repository provides the first full implementation of NHSS concepts using IBM Quantum Dynamic Circuits, including the definition of the Ep-bit, a new information unit based on topological state transitions.

• Information is stored in amplitudes of |0⟩ and |1⟩
• Operations must be reversible and unitary
• Noise is a problem that must be minimized

• Information is stored in topological properties of an effective non-Hermitian Hamiltonian
• Measurement + feedback drives non-unitary evolution
• Noise becomes part of an effective computational engine

H_eff = H + i·γ·Z

An Ep-bit (Exceptional Point bit) is a new logical information unit defined by the system’s position relative to an Exceptional Point.

When the system encircles an EP:

• 1 loop (~2π) → eigenstate switching
• 2 loops (~4π) → return to original state

This switching behavior acts like a logical bit flip, driven by topological phase transitions, not quantum amplitudes.

➡ Ep-bit = topological quantum memory.

NHSS represents a new paradigm, not a variant of the gate model.

NHSS-Quantum-Computing/
│
├── README.md
├── LICENSE
├── .gitignore
│
├── docs/
│   ├── theory_summary.md
│   ├── epbit_model.md
│   ├── device_requirements.md
│   └── NHSS_Whitepaper.md
│
├── src/
│   ├── nhss_simulator.py
│   ├── ibm_device_experiment.py
│   └── utils/
│       ├── measurement_feedback.py
│       └── parameter_sweep.py
│
└── examples/
    ├── epbit_basic_demo.py
    └── exceptional_point_scan.py

git clone https://github.com/<your-username>/NHSS-Quantum-Computing.git
cd NHSS-Quantum-Computing

Windows:

python -m venv .venv
.venv\Scripts\activate

macOS / Linux:

python3 -m venv .venv
source .venv/bin/activate

pip install --upgrade pip
pip install qiskit qiskit-aer qiskit-ibm-runtime

python examples/epbit_basic_demo.py

python examples/exceptional_point_scan.py

These simulations visualize how measurement + feedback induces EP-like state transitions.

Edit:

src/ibm_device_experiment.py

Replace:

MY_IBM_TOKEN = "PUT-YOUR-TOKEN-HERE"

python src/ibm_device_experiment.py

The script will:

• Connect to ibm_fez or ibm_torino
• Build the NHSS circuit
• Sweep γ parameters
• Print measurement results
• Reveal EP-like eigenstate switching

• docs/theory_summary.md → NHSS physics & non-Hermitian Hamiltonians
• docs/epbit_model.md → Ep-bit definition & behavior
• docs/device_requirements.md → IBM hardware requirements
• docs/NHSS_Whitepaper.md → Compact whitepaper of the NHSS paradigm

NHSS is:

• A new theoretical paradigm
• Experimentally implementable on IBM hardware
• Based on non-Hermitian topology instead of Hilbert-space amplitudes
• Introducing Ep-bits as new quantum information units

The goal of this repository is to make NHSS reproducible, testable, and extendable by the research community.

Contributions are welcome in:

• Non-Hermitian quantum mechanics
• Exceptional Point physics
• Measurement-based quantum control
• IBM quantum hardware experiments
• Topological quantum computing

Feel free to open an issue or pull request.