Demonstrating continuous-variable Einstein-Podolsky-Rosen steering with a finite number of measurements

James Schneeloch; Samuel H. Knarr; Gregory A. Howland; John C. Howell

doi:10.1117/12.2177296

Demonstrating continuous-variable Einstein-Podolsky-Rosen steering with a finite number of measurements

James Schneeloch^*
, Samuel H. Knarr
, Gregory A. Howland
, John C. Howell

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Here, we discuss the development of a new inequality in information theory; a Fano inequality suitable for continuous variables. With this inequality, we show how one can demonstrate Einstein-Podolsky-Rosen (EPR) steering in the position-momentum statistics of entangled photon pairs from spontaneous parametric down-conversion (SPDC). More importantly, we show how with sufficiently strong position and momentum correlations, we can demonstrate continuous-variable EPR steering without having to assume the photo-detectors have access to the entire joint intensity distribution. Moreover, we demonstrate this experimentally with the position and momentum statistics of entangled photon pairs in SPDC.

Original language	English
Title of host publication	Quantum Information and Computation XIII
Editors	Michael Hayduk, Andrew R. Pirich, Eric Donkor
Publisher	SPIE
ISBN (Electronic)	9781628416169
DOIs	https://doi.org/10.1117/12.2177296
State	Published - 2015
Externally published	Yes
Event	Quantum Information and Computation XIII - Baltimore, United States Duration: 22 Apr 2015 → 24 Apr 2015

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Volume	9500
ISSN (Print)	0277-786X
ISSN (Electronic)	1996-756X

Conference

Conference	Quantum Information and Computation XIII
Country/Territory	United States
City	Baltimore
Period	22/04/15 → 24/04/15

Bibliographical note

Publisher Copyright:
© 2015 SPIE.

Keywords

EPR steering
Fano inequality
entanglement
quantum information

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10.1117/12.2177296

Cite this

Schneeloch, J., Knarr, S. H., Howland, G. A., & Howell, J. C. (2015). Demonstrating continuous-variable Einstein-Podolsky-Rosen steering with a finite number of measurements. In M. Hayduk, A. R. Pirich, & E. Donkor (Eds.), Quantum Information and Computation XIII Article 95000T (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 9500). SPIE. https://doi.org/10.1117/12.2177296

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title = "Demonstrating continuous-variable Einstein-Podolsky-Rosen steering with a finite number of measurements",

abstract = "Here, we discuss the development of a new inequality in information theory; a Fano inequality suitable for continuous variables. With this inequality, we show how one can demonstrate Einstein-Podolsky-Rosen (EPR) steering in the position-momentum statistics of entangled photon pairs from spontaneous parametric down-conversion (SPDC). More importantly, we show how with sufficiently strong position and momentum correlations, we can demonstrate continuous-variable EPR steering without having to assume the photo-detectors have access to the entire joint intensity distribution. Moreover, we demonstrate this experimentally with the position and momentum statistics of entangled photon pairs in SPDC.",

keywords = "EPR steering, Fano inequality, entanglement, quantum information",

author = "James Schneeloch and Knarr, \{Samuel H.\} and Howland, \{Gregory A.\} and Howell, \{John C.\}",

note = "Publisher Copyright: {\textcopyright} 2015 SPIE.; Quantum Information and Computation XIII ; Conference date: 22-04-2015 Through 24-04-2015",

year = "2015",

doi = "10.1117/12.2177296",

language = "אנגלית",

series = "Proceedings of SPIE - The International Society for Optical Engineering",

publisher = "SPIE",

editor = "Michael Hayduk and Pirich, \{Andrew R.\} and Eric Donkor",

booktitle = "Quantum Information and Computation XIII",

address = "ארצות הברית",

}

Schneeloch, J, Knarr, SH, Howland, GA & Howell, JC 2015, Demonstrating continuous-variable Einstein-Podolsky-Rosen steering with a finite number of measurements. in M Hayduk, AR Pirich & E Donkor (eds), Quantum Information and Computation XIII., 95000T, Proceedings of SPIE - The International Society for Optical Engineering, vol. 9500, SPIE, Quantum Information and Computation XIII, Baltimore, United States, 22/04/15. https://doi.org/10.1117/12.2177296

Demonstrating continuous-variable Einstein-Podolsky-Rosen steering with a finite number of measurements. / Schneeloch, James; Knarr, Samuel H.; Howland, Gregory A. et al.
Quantum Information and Computation XIII. ed. / Michael Hayduk; Andrew R. Pirich; Eric Donkor. SPIE, 2015. 95000T (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 9500).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - Here, we discuss the development of a new inequality in information theory; a Fano inequality suitable for continuous variables. With this inequality, we show how one can demonstrate Einstein-Podolsky-Rosen (EPR) steering in the position-momentum statistics of entangled photon pairs from spontaneous parametric down-conversion (SPDC). More importantly, we show how with sufficiently strong position and momentum correlations, we can demonstrate continuous-variable EPR steering without having to assume the photo-detectors have access to the entire joint intensity distribution. Moreover, we demonstrate this experimentally with the position and momentum statistics of entangled photon pairs in SPDC.

AB - Here, we discuss the development of a new inequality in information theory; a Fano inequality suitable for continuous variables. With this inequality, we show how one can demonstrate Einstein-Podolsky-Rosen (EPR) steering in the position-momentum statistics of entangled photon pairs from spontaneous parametric down-conversion (SPDC). More importantly, we show how with sufficiently strong position and momentum correlations, we can demonstrate continuous-variable EPR steering without having to assume the photo-detectors have access to the entire joint intensity distribution. Moreover, we demonstrate this experimentally with the position and momentum statistics of entangled photon pairs in SPDC.

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KW - Fano inequality

KW - entanglement

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PB - SPIE

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Y2 - 22 April 2015 through 24 April 2015

ER -

Demonstrating continuous-variable Einstein-Podolsky-Rosen steering with a finite number of measurements

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