Function-like pseudorandom unitaries generate pseudorandom quantum processes

arXiv:2610.01038 · quant-ph · Submitted 2026-10-01 · Read on arXiv

quant-ph

Submitted: 2026-10-01

Updated: 2026-10-01

Terminology

• Trace — 10× in this paper · explained in 2 episodes
• Verification — 7× in this paper · explained in 2 episodes
• Entanglement — 4× in this paper · explained in 4 episodes
• Trace Distance — 4× in this paper · explained in 3 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Foundations of Computer Science — 3× in this paper
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Decoupling — 2× in this paper · explained in 2 episodes
• Adaptation — 1× in this paper · explained in 1 episode
• Adaptive Algorithm — 1× in this paper · explained in 1 episode
• Benchmarking — 1× in this paper · explained in 3 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Distillation — 1× in this paper · explained in 2 episodes
• Entanglement Distillation — 1× in this paper · explained in 2 episodes
• Entanglement Entropy — 1× in this paper · explained in 2 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Temporal Correlations — 1× in this paper · explained in 2 episodes

Sources

• Simple constructions of linear-depth t-designs and pseudorandom unitaries
• Efficient unitary designs and pseudorandom unitaries from permutations
• How to Construct Random Unitaries
• Pseudorandom States, Non-Cloning Theorems and Quantum Money
• Can scrambling protect quantum state distinguishability under noise?
• Pseudorandom (Function-Like) Quantum State Generators: New Definitions and Applications
• Scalable, quantum-accessible, and adaptive pseudorandom quantum state and pseudorandom function-like quantum state generators
• Quantum Lazy Sampling and Path Recording for Any Group
• Pseudorandom quantum authentication
• A Note on Quantum-Secure PRPs
• Gluing Random Unitaries with Inverses and Applications to Strong Pseudorandom Unitaries
• Quantum random access memory

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