HackerPapers

arXiv:2003.07267quant-ph

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

Bin Yan, Nikolai A. Sinitsyn

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.

arXiv comments
5+2 pages, 3+3 figures; V3: Published version; V2: Improved presentation, new model study added
Journal reference
Phys. Rev. Lett. 125, 040605 (2020)
DOI
doi:10.1103/PhysRevLett.125.040605
Subjects
quant-phQuantum Physics cond-mat.stat-mechStatistical Mechanics nlin.CDChaotic Dynamics

On Hacker News

Linked by 3 identifiable commenters in 3 comments across 2 threads, from Aug 2020 to Aug 2024.

Comments linking this paper, per year.

Discussed in comments2 threads

  1. The Quantum Butterfly Effect 1 comment

    • Paper (2020): https://arxiv.org/pdf/2003.07267 As a layperson I found the first page to be more succinct and intuitive than the article. > Let Alice have such a processor that implements fast information scrambling during a reversible unitary evolution of many interacting…

      refibrillatorView on HNParent context

  2. A flutter in time: Quantum mechanics is immune to the butterfly effect 2 comments

    • Here's a non-paywalled article: https://ladailypost.com/lanl-simulating-quantum-time-travel-... Here is the preprint: https://arxiv.org/abs/2003.07267 They are using the linearity to say that the effect is not magnified as it would be classically, but it is in the context of…

      jostylrView on HNParent context

    • Looks like this is the paper: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.12... ArXiV: https://arxiv.org/abs/2003.07267

      kkylinView on HNParent context

Submitted to Hacker News

Connected through shared HN threads, not inferred similarity or a recommendation.