Randomness Generation in Quantum Chaotic Systems
Analysis
Key Takeaways
- •Quantum-chaotic evolution can generate randomness.
- •Randomization occurs faster than expected, even for non-random Hamiltonians.
- •Effective randomization can happen on timescales linear in system size.
- •The study focuses on higher statistical moments, a challenging area.
“The dynamics become effectively Haar-random well before the system can ergodically explore the physically accessible Hilbert space.”