Predictive Structure Behind Rare Outcomes in Random Quantum Circuits

arXiv:2609.17482 · quant-ph · Submitted 2026-09-15 · Read on arXiv

quant-ph

Submitted: 2026-09-15

Updated: 2026-09-20

Comments: 25 pages, 9 figures

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Ablation — 15× in this paper · explained in 1 episode
• Entanglement — 14× in this paper · explained in 3 episodes
• Core — 9× in this paper · explained in 2 episodes
• Quantum Circuits — 9× in this paper · explained in 2 episodes
• Robustness — 5× in this paper · explained in 5 episodes
• Alignment — 4× in this paper · explained in 1 episode
• Calibration — 2× in this paper · explained in 7 episodes
• Inverse Design — 2× in this paper · explained in 2 episodes
• Ablation Studies — 1× in this paper · explained in 1 episode
• Aggregation — 1× in this paper · explained in 1 episode
• Anticoncentration — 1× in this paper · explained in 1 episode
• Clustering — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Department of Energy — 1× in this paper
• Unitary Dynamics — 1× in this paper · explained in 2 episodes

Sources

• Random Quantum Circuits are Approximate 2-designs
• On verifiable quantum advantage with peaked circuit sampling
• Complexity and hardness of random peaked circuits
• Efficiently verifiable quantum advantage using error correction
• Heuristic Quantum Advantage with Peaked Circuits
• Efficient Classical Simulation of Heuristic Peaked Quantum Circuits
• How to generate random matrices from the classical compact groups
• Induced measures in the space of mixed quantum states

Related papers

• Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
• Polynomial-time classical and quantum simulation of quantum impurity models
• A quasiparticle-protected superconducting qubit
• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians