Analog of the Clauser-Horne-Shimony-Holt inequality for steering

Cavalcanti, Eric G, Foster, Christopher J, Fuwa, Maria and Wiseman, Howard Wiseman (2015) Analog of the Clauser-Horne-Shimony-Holt inequality for steering. Journal of the Optical Society of America B: Optical Physics, 32 4: A74-A81. doi:10.1364/JOSAB.32.000A74

Author Cavalcanti, Eric G
Foster, Christopher J
Fuwa, Maria
Wiseman, Howard Wiseman
Title Analog of the Clauser-Horne-Shimony-Holt inequality for steering
Journal name Journal of the Optical Society of America B: Optical Physics   Check publisher's open access policy
ISSN 0740-3224
Publication date 2015-04
Year available 2015
Sub-type Article (original research)
DOI 10.1364/JOSAB.32.000A74
Open Access Status
Volume 32
Issue 4
Start page A74
End page A81
Total pages 8
Place of publication Washington, United States
Publisher Optical Society of American (OSA)
Collection year 2016
Language eng
Formatted abstract
The Clauser–Horne–Shimony–Holt (CHSH) inequality and its permutations are necessary and sufficient criteria for Bell nonlocality in the simplest Bell-nonlocality scenario: two parties, two measurements per party and two outcomes per measurement. Here we derive an inequality for Einstein–Podolsky–Rosen (EPR)-steering that is an analog of the CHSH, in that it is necessary and sufficient in this same scenario. However, since in the case of steering the device at Bob’s site must be specified (as opposed to the Bell case, in which it is a black box), the scenario we consider is that where Alice performs two (black-box) dichotomic measurements, and Bob performs two mutually unbiased qubit measurements. We show that this inequality is strictly weaker than the CHSH, as expected, and use it to decide whether a recent experiment [Phys. Rev. Lett. 110, 130401 (2013) involving a single-photon split between two parties has demonstrated EPR-steering.
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2016 Collection
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Citation counts: TR Web of Science Citation Count  Cited 8 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 8 times in Scopus Article | Citations
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