Complex Quantum Dynamics Versus Classical Simulability of Noisy Random Circuits

arXiv:2609.39734 · quant-ph · Submitted 2026-09-30 · Read on arXiv

quant-ph

Submitted: 2026-09-30

Updated: 2026-09-30

Code: https://github.com/anjaliwgh/noisy-quantum-diagnostics-simulability

Terminology

• Quantum Circuits — 22× in this paper · explained in 2 episodes
• Non-Gaussianity — 15× in this paper · explained in 2 episodes
• Anticoncentration — 14× in this paper · explained in 1 episode
• Entanglement — 10× in this paper · explained in 3 episodes
• Adam — 6× in this paper · explained in 2 episodes
• Trace — 5× in this paper · explained in 2 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Verification — 2× in this paper · explained in 2 episodes
• BQP — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Generative AI — 1× in this paper · explained in 2 episodes
• Inverse Participation Ratio (IPR) — 1× in this paper · explained in 2 episodes
• Multipartite Entanglement — 1× in this paper · explained in 2 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes
• Stabilizer States — 1× in this paper · explained in 2 episodes

Sources

• Noise and the frontier of quantum supremacy
• A polynomial-time classical algorithm for noisy quantum circuits
• Solving the sampling problem of the Sycamore quantum circuits
• Simulating quantum circuits with arbitrary local noise using Pauli Propagation
• Simulation of Fermionic circuits using Majorana Propagation
• Stabilizer entropies and nonstabilizerness monotones
• A bound on chaos
• Chaos in quantum channels
• Operator Spreading in Random Unitary Circuits
• Information Scrambling in Computationally Complex Quantum Circuits
• Fermionic Linear Optics and Matchgates
• Polynomial-Time Classical Simulation of Noisy Quantum Circuits with Naturally Fault-Tolerant Gates
• Noise-induced Simulability Transition from Operator Scrambling
• A complete theory of the Clifford commutant
• Quantum Complexity and Chaos in Many-Qudit Doped Clifford Circuits
• Classical simulation of a quantum circuit with noisy magic inputs
• Magic spreading in random quantum circuits

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