Quantum Toolbox in Julia

An efficient Julia framework for Hierarchical Equations of Motion (HEOM) in open quantum systems

A tool to model the bath relaxation dynamics of open quantum systems by Lindblad and Hierarchical Equations of Motion (HEOM) approaches.

MQED-QD: A Python toolkit for computing dyadic Green's functions, dipole–dipole interactions, and open quantum dynamics in layered dielectric media.

Eavesdropper detection & quantum channel benchmarking for QKD- Physical Bridge, Lindblad extension, error diagnostics, Krylov complexity, one-way function property

Computational study of Environment-Assisted Quantum Transport (ENAQT) in open quantum chains. Validated against 1,000 exact HEOM trajectories; enhancement scales as ~2.1N with chain length; structural disorder amplifies rather than destroys ENAQT — universal in 95–100% of random configurations.

A Julia package implementing algorithms to simulate many-body open quantum systems on two-dimensional lattices.

Master’s thesis code: quantum heat engine simulations (GKLS/Lindblad), reproducible notebooks & plots.

Quantum computer simulator with information geometry interpretation. Features Lindblad dynamics, spectral zeta functions, and geodesic-spectral duality connecting decoherence to operator spectra.

Master thesis in Physics

Palindromic Liouvillian symmetry under dephasing. Proven for any Heisenberg graph, verified N=2-8 (87,376 eigenvalues, zero exceptions). Absorption Theorem Re(λ)=-2γ⟨n_XY⟩ + F87 trichotomy + F89 path-k closed form (Tier-1-Derived). Receiver-engineering 4000-5500× over ENAQT. Hardware-confirmed on IBM Marrakesh + Kingston. R = CΨ²

DTQEM v5.0 models quantum entanglement via a two‑qubit state with variable angle θ, Lindblad‑thermal decoherence from Bose–Einstein statistics, and a magnetic field test. Satisfies Bohr complementarity V²+D²≤1. Interactive Python simulation.