Recovery of Damaged Information and the Out-of-Time-Ordered Correlators
1Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 and Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
Abstract:
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. 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.
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