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

Abstract

A time-reversed dynamics unwinds information scrambling, which is induced during the time-forward evolution with a complex Hamiltonian. 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.

5+2 pages, 3+3 figures; V3: Published version; V2: Improved presentation, new model study added

References in corpus (4)

• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Black holes as mirrors: quantum information in random subsystems
• Chaos, Complexity, and Random Matrices
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• Origin and Limit of the Recovery of Damaged Information by Time Reversal
• Recovery of damaged information via scrambling in indefinite casual order