Observation of Universal Quantum Chaos at Shallow Depths

arXiv:2609.28623 · quant-ph, cond-mat.stat-mech · Submitted 2026-09-23 · Read on arXiv

quant-ph, cond-mat.stat-mech

Submitted: 2026-09-23

Updated: 2026-09-23

Terminology

• Entanglement — 12× in this paper · explained in 3 episodes
• Fidelity — 11× in this paper · explained in 2 episodes
• Quantum Circuits — 11× in this paper · explained in 2 episodes
• Anticoncentration — 5× in this paper · explained in 1 episode
• Benchmarking — 4× in this paper · explained in 3 episodes
• Domain Walls — 4× in this paper · explained in 2 episodes
• Benchmark — 3× in this paper · explained in 2 episodes
• Fisher Information — 2× in this paper · explained in 3 episodes
• Phase Transitions — 2× in this paper · explained in 2 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Calibration — 1× in this paper · explained in 7 episodes
• Chaotic Dynamics — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Unitary Dynamics — 1× in this paper · explained in 2 episodes

Sources

• A sharp phase transition in linear cross-entropy benchmarking
• Anticoncentration and state design of random tensor networks
• Experimental signatures of Hilbert-space ergodicity: Universal bitstring distributions and applications in noise learning
• Unitary designs from statistical mechanics in random quantum circuits
• Simulation of quantum circuits by low-rank stabilizer decompositions
• Weingarten Calculus
• Random quantum circuits transform local noise into global white noise
• Universal distributions of overlaps from generic dynamics in quantum many-body systems

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