Phase-transition-like behavior in information retrieval of a quantum scrambled random circuit system
arXiv:2205.14169 · doi:10.1103/PhysRevB.106.144308
Abstract
Information in a chaotic quantum system will scramble across the system, preventing any local measurement from reconstructing it. The scrambling dynamics is key to understanding a wide range of quantum many-body systems. Here we use Holevo information to quantify the scrambling dynamics, which shows a phase-transition-like behavior. When applying long random Clifford circuits to a large system, no information can be recovered from a subsystem of less than half the system size. When exceeding half the system size, the amount of stored information grows by two bits of classical information per qubit until saturation through another sharp unanalytical change. We also study critical behavior near the transition points. Finally, we use coherent information to quantify the scrambling of quantum information in the system, which shows similar phase-transition-like behavior.
10 pages, 5 figures
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Cited by in corpus (5)
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- Quantum scrambling via accessible tripartite information
- An operational definition of quantum information scrambling
- Dynamical phase transitions of information flow in random quantum circuits
- Non-stabilizerness and entanglement from cat-state injection