Probing the classical complexity of quantum dynamics experiments

arXiv:2609.31830 · quant-ph, cond-mat.str-el, cs.CC, hep-th · Submitted 2026-09-25 · Read on arXiv

quant-ph, cond-mat.str-el, cs.CC, hep-th

Submitted: 2026-09-25

Updated: 2026-09-25

Terminology

• Quantum Circuits — 22× in this paper · explained in 2 episodes
• Entanglement — 15× in this paper · explained in 4 episodes
• Accuracy — 11× in this paper · explained in 1 episode
• Ancilla Qubits — 5× in this paper · explained in 1 episode
• Robustness — 4× in this paper · explained in 5 episodes
• Benchmarking — 3× in this paper · explained in 3 episodes
• Chebyshev Polynomials — 3× in this paper · explained in 2 episodes
• Entanglement Entropy — 3× in this paper · explained in 2 episodes
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Operator Entanglement — 3× in this paper · explained in 2 episodes
• Sample Efficiency — 2× in this paper · explained in 4 episodes
• Adaptation — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• SYK Model — 1× in this paper · explained in 2 episodes
• Sample Complexity — 1× in this paper · explained in 15 episodes
• Stabilizer States — 1× in this paper · explained in 2 episodes
• Systematic Bias — 1× in this paper · explained in 3 episodes
• Trace — 1× in this paper · explained in 2 episodes
• Unitary Dynamics — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Diameter truncated operator evolution
• Reweighted Time-Evolving Block Decimation for Improved Quantum Dynamics Simulations
• Simulating the out-of-equilibrium dynamics of local observables by trading entanglement for mixture
• Compressed minimum-purity time evolution for late-time quantum dynamics
• Classical surrogate simulation of quantum systems with LOWESA
• Pauli Propagation: A Computational Framework for Simulating Quantum Systems
• Classical simulations of noisy variational quantum circuits
• Noise-induced Simulability Transition from Operator Scrambling
• Characterizing Pauli Propagation via Operator Complexity
• Classical Simulation Healed by Quantum Entanglement
• Efficient classical simulation of noisy quantum computation
• Simulating quantum circuits with arbitrary local noise using Pauli Propagation
• A Fourier analysis framework for approximate classical simulations of quantum circuits
• Efficient simulation of parametrized quantum circuits under non-unital noise through Pauli backpropagation
• Noise-induced shallow circuits and absence of barren plateaus
• Dilution of error in digital Hamiltonian simulation
• Diffusive hydrodynamics of out-of-time-ordered correlators with charge conservation
• Effective quantum volume, fidelity and computational cost of noisy quantum processing experiments
• Random unitaries in extremely low depth
• Scrambling Dynamics and Out-of-Time Ordered Correlators in Quantum Many-Body Systems: a Tutorial

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