Title: Recovery of Damaged Information and the Out-of-Time-Ordered Correlators

Journal Article · · Physical Review Letters
ORCiD logo [1]; ORCiD logo [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Center for Nonlinear Studies (CNLS); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
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The evolution with a complex Hamiltonian generally leads to information scrambling. A time-reversed dynamics unwinds this scrambling and thus leads to the original information recovery. In this work, we show that if the scrambled information is, in addition, partially damaged by a local measurement, then such a damage can still be treated by application of the time-reversed protocol. This information recovery is described by the long-time saturation value of a certain out-of-time-ordered correlator of local variables. We also propose a simple test that distinguishes between quantum and reversible classical chaotic information scrambling.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1760581
Report Number(s):
LA-UR-20-22064
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 4 Vol. 125; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Cited By (2)

Universal limitation of quantum information recovery: symmetry versus coherence preprint January 2021
Sensitivity to the initial conditions of the Time-Dependent Density Functional Theory text January 2021

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97 MATHEMATICS AND COMPUTING
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Quantum computation
Quantum correlations in quantum information
Quantum protocols
Quantum statistical mechanics
Stochastic processes & statistics