Theoretical Physicist (PhD) | Quantum Information Theory | Tensor Networks & Quantum Algorithms

Heidelberg - Germany / Budapest - Hungary

I develop scientific software for quantum many-body physics, quantum information theory, and quantum computing. My projects emphasize correctness, reproducibility, and validation against established reference implementations.

I received my PhD (summa cum laude) from Budapest University of Technology and Economics (BME), where my research focused on magic-state resource theories, stabilizer methods, and open quantum systems.

A from-scratch Python tensor-network framework for 1D quantum lattice simulations, featuring finite-size DMRG and TEBD with a fully tested MPS/MPO infrastructure.

• Tensor, MPS, MPO — full linear algebra layer built on NumPy
• TEBD, 2D geometries, and long-range Hamiltonians — roadmap for future development
• Finite 2-site DMRG with incremental environments and correct gauge — converges on TFIM, Heisenberg, ZZ+Z
• 370+ pytest tests, CI on every push, cross-validated against iTensor
• Published to PyPI, with documentation and examples

→ szmbthydmnk/quantum-simulation-lab

• Many-body quantum systems and tensor network methods
• Magic states, stabilizer formalism, and quantum computational complexity
• Dissipative quantum systems and Lindbladian dynamics
• Adiabatic quantum algorithms
• Scientific computing and numerical methods

• Asymptotically independent fluctuations of stabilizer Rényi entropy and entanglement in random unitary circuits D Szombathy, A Valli, CP Moca, L Farkas, G Zaránd Physical Review Research 7 (4), 043072 30* 2025

• Spectral properties versus magic generation in -doped random Clifford circuits D Szombathy, A Valli, CP Moca, J Asbóth, L Farkas, T Rakovszky, ... Physical Review Research 7 (4), 043080 23* 2025

• Nonstabilizerness in open XXZ spin chains: Universal scaling and dynamics D Sticlet, B Dóra, D Szombathy, G Zaránd, CP Moca Physical Review Research 7 (4), 043130 17 2025

• Nonstabilizerness generation in a multiparticle quantum walk CP Moca, D Sticlet, B Dóra, A Valli, D Szombathy, G Zaránd Physical Review B 113 (7), 075142 14 2026

• Collective tunneling of a Wigner necklace in carbon nanotubes D Szombathy, MA Werner, CP Moca, Ö Legeza, A Hamo, S Ilani, ... Physical Review B 109 (24), 245139 1 2024

• Method for performing quantum annealing M Kormos, A Grabarits, D Szombathy, GA Zaránd US Patent App. 18/901,908 2026

• Magic and Complexity in Quantum Circuits D Szombathy Budapest University of Technology and Economics, 2025 (PhD thesis)

I regularly solve algorithmic programming challenges from Project Euler and Advent of Code for personal development and fun. Due to the competitive and puzzle-based nature of these platforms, I do not publicly release full solution sets, but I use them to explore math, problem solving and algorithm design.