Ergodic Dynamics in Iterated Quantum Protocols
Analysis
Key Takeaways
- •Investigates measurement-induced nonlinear dynamics in iterated quantum protocols.
- •Identifies a protocol that generates globally chaotic, strongly mixing dynamics for pure states.
- •Analyzes the impact of noise and mixed initial states on the dynamics.
- •Introduces a notion of quasi-ergodicity to quantify robustness against noise.
- •Demonstrates the coexistence of statistical mixing and purification within a single iterated protocol.
“The paper introduces a practical notion of quasi-ergodicity: ensembles prepared in a small angular patch at fixed purity rapidly spread to cover all directions, while the purity gradually decreases toward its minimal value.”