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

Bin Yan and Nikolai A. Sinitsyn

Phys. Rev. Lett. 125, 040605 – Published 24 July 2020

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.

Received 6 March 2020
Accepted 8 July 2020

DOI:https://doi.org/10.1103/PhysRevLett.125.040605

Physics Subject Headings (PhySH)

Quantum computation Quantum correlations in quantum information Quantum protocols Quantum statistical mechanics

Density matrix methods Exact solutions for many-body systems Stochastic processes & statistics

Quantum Information, Science & TechnologyStatistical Physics & ThermodynamicsGeneral PhysicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Bin Yan

Center 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

Nikolai A. Sinitsyn