Necessary and sufficient quantum information characterization of Einstein-Podolsky-Rosen steering

Marco Piani, John Watrous

Research output: Contribution to journalArticle

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Abstract

Steering is the entanglement-based quantum effect that embodies the "spooky action at a distance" disliked by Einstein and scrutinized by Einstein, Podolsky, and Rosen. Here we provide a necessary and sufficient characterization of steering, based on a quantum information processing task: the discrimination of branches in a quantum evolution, which we dub subchannel discrimination. We prove that, for any bipartite steerable state, there are instances of the quantum subchannel discrimination problem for which this state allows a correct discrimination with strictly higher probability than in absence of entanglement, even when measurements are restricted to local measurements aided by one-way communication. On the other hand, unsteerable states are useless in such conditions, even when entangled. We also prove that the above steering advantage can be exactly quantified in terms of the steering robustness, which is a natural measure of the steerability exhibited by the state.
Original languageEnglish
Article number060404
Number of pages6
JournalPhysical Review Letters
Volume114
Issue number6
Early online date12 Feb 2015
DOIs
Publication statusPublished - 13 Feb 2015

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discrimination
communication

Keywords

  • entanglement
  • quantum information
  • steering robustness

Cite this

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Necessary and sufficient quantum information characterization of Einstein-Podolsky-Rosen steering. / Piani, Marco; Watrous, John.

In: Physical Review Letters, Vol. 114, No. 6, 060404, 13.02.2015.

Research output: Contribution to journalArticle

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AU - Piani, Marco

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AB - Steering is the entanglement-based quantum effect that embodies the "spooky action at a distance" disliked by Einstein and scrutinized by Einstein, Podolsky, and Rosen. Here we provide a necessary and sufficient characterization of steering, based on a quantum information processing task: the discrimination of branches in a quantum evolution, which we dub subchannel discrimination. We prove that, for any bipartite steerable state, there are instances of the quantum subchannel discrimination problem for which this state allows a correct discrimination with strictly higher probability than in absence of entanglement, even when measurements are restricted to local measurements aided by one-way communication. On the other hand, unsteerable states are useless in such conditions, even when entangled. We also prove that the above steering advantage can be exactly quantified in terms of the steering robustness, which is a natural measure of the steerability exhibited by the state.

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