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  1. A500 情報学部/情報学研究科・情報文化学部・情報科学研究科
  2. A500a 雑誌掲載論文
  3. 学術雑誌

Approximate reversibility in the context of entropy gain, information gain, and complete positivity

http://hdl.handle.net/2237/24925
http://hdl.handle.net/2237/24925
83da16da-f21c-4349-b0d1-bdc98a37bdb8
名前 / ファイル ライセンス アクション
Buscemi_Das_Wilde_2016_Approximate_reversibility.pdf Buscemi_Das_Wilde_2016_Approximate_reversibility.pdf (184.2 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2016-09-29
タイトル
タイトル Approximate reversibility in the context of entropy gain, information gain, and complete positivity
言語 en
著者 Buscemi, Francesco

× Buscemi, Francesco

WEKO 67017

en Buscemi, Francesco

Search repository
Das, Siddhartha

× Das, Siddhartha

WEKO 67018

en Das, Siddhartha

Search repository
Wilde, Mark M.

× Wilde, Mark M.

WEKO 67019

en Wilde, Mark M.

Search repository
アクセス権
アクセス権 open access
アクセス権URI http://purl.org/coar/access_right/c_abf2
権利
言語 en
権利情報 ©2016 American Physical Society
抄録
内容記述 There are several inequalities in physics which limit how well we can process physical systems to achieve some intended goal, including the second law of thermodynamics, entropy bounds in quantum information theory, and the uncertainty principle of quantum mechanics. Recent results provide physically meaningful enhancements of these limiting statements, determining how well one can attempt to reverse an irreversible process. In this paper, we apply and extend these results to give strong enhancements to several entropy inequalities, having to do with entropy gain, information gain, entropic disturbance, and complete positivity of open quantum systems dynamics. Our first result is a remainder term for the entropy gain of a quantum channel. This result implies that a small increase in entropy under the action of a subunital channel is a witness to the fact that the channel's adjoint can be used as a recovery map to undo the action of the original channel. We apply this result to pure-loss, quantum-limited amplifier, and phase-insensitive quantum Gaussian channels, showing how a quantum-limited amplifier can serve as a recovery from a pure-loss channel and vice versa. Our second result regards the information gain of a quantum measurement, both without and with quantum side information. We find here that a small information gain implies that it is possible to undo the action of the original measurement if it is efficient. The result also has operational ramifications for the information-theoretic tasks known as measurement compression without and with quantum side information. Our third result shows that the loss of Holevo information caused by the action of a noisy channel on an input ensemble of quantum states is small if and only if the noise can be approximately corrected on average. We finally establish that the reduced dynamics of a system-environment interaction are approximately completely positive and trace preserving if and only if the data processing inequality holds approximately.
言語 en
内容記述タイプ Abstract
出版者
言語 en
出版者 American Physical Society
言語
言語 eng
資源タイプ
資源タイプresource http://purl.org/coar/resource_type/c_6501
タイプ journal article
出版タイプ
出版タイプ VoR
出版タイプResource http://purl.org/coar/version/c_970fb48d4fbd8a85
DOI
関連タイプ isVersionOf
識別子タイプ DOI
関連識別子 https://doi.org/10.1103/PhysRevA.93.062314
ISSN
収録物識別子タイプ PISSN
収録物識別子 2469-9926
書誌情報 en : Physical Review A

巻 93, p. 062314-062314, 発行日 2016-06
著者版フラグ
値 publisher
URI
識別子 http://doi.org/10.1103/PhysRevA.93.062314
識別子タイプ DOI
URI
識別子 http://hdl.handle.net/2237/24925
識別子タイプ HDL
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