Channel steering

Marco Piani

Research output: Contribution to journalSpecial issue

7 Citations (Scopus)

Abstract

We introduce and study the notion of steerability for channels. This generalizes the notion of steerability of bipartite quantum states. We discuss a key conceptual difference between the case of states and the case of channels: while state steering deals with the notion of "hidden" states, steerability in the channel case is better understood in terms of coherence of channel extensions, rather than in terms of "hidden" channels. This distinction vanishes in the case of states. We further argue how the proposed notion of lack of coherence of channel extensions coincides with the notion of channel extensions realized via local operations and classical communication. We also discuss how the Choi-Jamiolkowski isomorphism allows the direct application of many results about states to the case of channels. We introduce measures for the steerability of channel extensions.
LanguageEnglish
PagesA1-A7
Number of pages8
JournalJournal of the Optical Society of America B
Volume32
Issue number4
DOIs
Publication statusPublished - 2015

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isomorphism
communication

Keywords

  • channel steerability
  • bipartite quantum states
  • quantum steering

Cite this

Piani, Marco. / Channel steering. In: Journal of the Optical Society of America B. 2015 ; Vol. 32, No. 4. pp. A1-A7.
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Channel steering. / Piani, Marco.

In: Journal of the Optical Society of America B, Vol. 32, No. 4, 2015, p. A1-A7.

Research output: Contribution to journalSpecial issue

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AU - Piani, Marco

N1 - This paper was published in Journal of the Optical Society of America B and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/josab/. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.

PY - 2015

Y1 - 2015

N2 - We introduce and study the notion of steerability for channels. This generalizes the notion of steerability of bipartite quantum states. We discuss a key conceptual difference between the case of states and the case of channels: while state steering deals with the notion of "hidden" states, steerability in the channel case is better understood in terms of coherence of channel extensions, rather than in terms of "hidden" channels. This distinction vanishes in the case of states. We further argue how the proposed notion of lack of coherence of channel extensions coincides with the notion of channel extensions realized via local operations and classical communication. We also discuss how the Choi-Jamiolkowski isomorphism allows the direct application of many results about states to the case of channels. We introduce measures for the steerability of channel extensions.

AB - We introduce and study the notion of steerability for channels. This generalizes the notion of steerability of bipartite quantum states. We discuss a key conceptual difference between the case of states and the case of channels: while state steering deals with the notion of "hidden" states, steerability in the channel case is better understood in terms of coherence of channel extensions, rather than in terms of "hidden" channels. This distinction vanishes in the case of states. We further argue how the proposed notion of lack of coherence of channel extensions coincides with the notion of channel extensions realized via local operations and classical communication. We also discuss how the Choi-Jamiolkowski isomorphism allows the direct application of many results about states to the case of channels. We introduce measures for the steerability of channel extensions.

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