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Origin and limit of the recovery of damaged information by time reversal

Xiangyu Cao1 and Thomas Scaffidi2

  • 1Laboratoire de Physique de l'Ecole Normale Supérieure, ENS, Université PSL, Centre National de la Recherche Scientifique, Sorbonne Université, Université de Paris, 75005 Paris, France
  • 2Department of Physics, University of Toronto, Toronto, Ontario, Canada M5S 1A7

Phys. Rev. A 103, L020401 – Published 8 February, 2021

DOI: https://doi.org/10.1103/PhysRevA.103.L020401

Abstract

Recently it was found that scrambled information can be partially recovered by a time-reversed evolution, even after being damaged by an intruder. We reconsider the origin of the information recovery, and argue that the presence of classical chaos does not preclude it and only leads to a quantitative reduction of the recovery ratio. We also show how decoherence (i.e., entanglement with the intruder) limits the recovery, by proving an upper bound on the recovery ratio in terms of the entangling power of the intruder's action.

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