Symmetry Groups of the Platonic Solid POVMs: Binary Polyhedral Groups as Quantum Circuits
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Updated
Sep 9, 2026 - HTML
Symmetry Groups of the Platonic Solid POVMs: Binary Polyhedral Groups as Quantum Circuits
This project implements a machine learning model capable of reconstructing a quantum density matrix ρ from measurement data (Classical Shadows). The model enforces strict physical constraints (Hermitian, Positive Semi-Definite, Unit Trace) using a Cholesky decomposition approach.
Machine learning pipeline for learning and generating quantum measurement statistics from large-scale physics simulations.
Simulation study (6 qubits, 5 seeds): when does an entanglement-entropy descriptor of landmark distances beat the distances themselves and a fidelity quantum kernel? Snapshot-shot cost, depolarising-noise sweep, ablation, phase diagram.
Simulation study: copies needed by the six-copy Bell-difference-sampling stabilizer test under dephasing, depolarising and readout noise. Exact statistics, critical noise vs qubits (3-6), threshold ablation, Pauli-shadow baseline, 5 seeds.
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