Improving Einstein-Podolsky-Rosen steering inequalities with state information

James Schneeloch; Curtis J. Broadbent; John C. Howell

doi:10.1016/j.physleta.2014.01.019

Improving Einstein-Podolsky-Rosen steering inequalities with state information

James Schneeloch^*
, Curtis J. Broadbent
, John C. Howell

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We discuss the relationship between entropic Einstein-Podolsky-Rosen (EPR)-steering inequalities and their underlying uncertainty relations along with the hypothesis that improved uncertainty relations lead to tighter EPR-steering inequalities. In particular, we discuss how using information about the state of a quantum system affects one's ability to witness EPR-steering. As an example, we consider the recent improvement to the entropic uncertainty relation between pairs of discrete observables (Berta et al., 2010 [10]). By considering the assumptions that enter into the development of a steering inequality, we derive correct steering inequalities from these improved uncertainty relations and find that they are identical to ones already developed (Schneeloch et al., 2013 [9]). In addition, we consider how one can use state information to improve our ability to witness EPR-steering, and develop a new continuous variable symmetric EPR-steering inequality as a result.

Original language	English
Pages (from-to)	766-769
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	378
Issue number	10
DOIs	https://doi.org/10.1016/j.physleta.2014.01.019
State	Published - 14 Feb 2014
Externally published	Yes

Bibliographical note

Funding Information:
We gratefully acknowledge support from DARPA DSO under grant numbers W911NR-10-1-0404 and W31P4Q-12-1-0015 . C.J.B. acknowledges support from ARO W911NF-09-1-0385 and NSF PHY-1203931 .

Keywords

EPR-paradox
EPR-steering
Entanglement
Entropy
Uncertainty relations

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10.1016/j.physleta.2014.01.019

Cite this

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title = "Improving Einstein-Podolsky-Rosen steering inequalities with state information",

abstract = "We discuss the relationship between entropic Einstein-Podolsky-Rosen (EPR)-steering inequalities and their underlying uncertainty relations along with the hypothesis that improved uncertainty relations lead to tighter EPR-steering inequalities. In particular, we discuss how using information about the state of a quantum system affects one's ability to witness EPR-steering. As an example, we consider the recent improvement to the entropic uncertainty relation between pairs of discrete observables (Berta et al., 2010 [10]). By considering the assumptions that enter into the development of a steering inequality, we derive correct steering inequalities from these improved uncertainty relations and find that they are identical to ones already developed (Schneeloch et al., 2013 [9]). In addition, we consider how one can use state information to improve our ability to witness EPR-steering, and develop a new continuous variable symmetric EPR-steering inequality as a result.",

keywords = "EPR-paradox, EPR-steering, Entanglement, Entropy, Uncertainty relations",

author = "James Schneeloch and Broadbent, \{Curtis J.\} and Howell, \{John C.\}",

note = "Funding Information: We gratefully acknowledge support from DARPA DSO under grant numbers W911NR-10-1-0404 and W31P4Q-12-1-0015 . C.J.B. acknowledges support from ARO W911NF-09-1-0385 and NSF PHY-1203931 .",

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N1 - Funding Information: We gratefully acknowledge support from DARPA DSO under grant numbers W911NR-10-1-0404 and W31P4Q-12-1-0015 . C.J.B. acknowledges support from ARO W911NF-09-1-0385 and NSF PHY-1203931 .

PY - 2014/2/14

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N2 - We discuss the relationship between entropic Einstein-Podolsky-Rosen (EPR)-steering inequalities and their underlying uncertainty relations along with the hypothesis that improved uncertainty relations lead to tighter EPR-steering inequalities. In particular, we discuss how using information about the state of a quantum system affects one's ability to witness EPR-steering. As an example, we consider the recent improvement to the entropic uncertainty relation between pairs of discrete observables (Berta et al., 2010 [10]). By considering the assumptions that enter into the development of a steering inequality, we derive correct steering inequalities from these improved uncertainty relations and find that they are identical to ones already developed (Schneeloch et al., 2013 [9]). In addition, we consider how one can use state information to improve our ability to witness EPR-steering, and develop a new continuous variable symmetric EPR-steering inequality as a result.

AB - We discuss the relationship between entropic Einstein-Podolsky-Rosen (EPR)-steering inequalities and their underlying uncertainty relations along with the hypothesis that improved uncertainty relations lead to tighter EPR-steering inequalities. In particular, we discuss how using information about the state of a quantum system affects one's ability to witness EPR-steering. As an example, we consider the recent improvement to the entropic uncertainty relation between pairs of discrete observables (Berta et al., 2010 [10]). By considering the assumptions that enter into the development of a steering inequality, we derive correct steering inequalities from these improved uncertainty relations and find that they are identical to ones already developed (Schneeloch et al., 2013 [9]). In addition, we consider how one can use state information to improve our ability to witness EPR-steering, and develop a new continuous variable symmetric EPR-steering inequality as a result.

KW - EPR-paradox

KW - EPR-steering

KW - Entanglement

KW - Entropy

KW - Uncertainty relations

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JF - Physics Letters, Section A: General, Atomic and Solid State Physics

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ER -

Improving Einstein-Podolsky-Rosen steering inequalities with state information

Abstract

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Keywords

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