Optimality of semiquantum nonlocality in the presence of high inconclusive rates
Abstract
Quantum nonlocality is a counterintuitive phenomenon that lies beyond the purview of causal influences. Recently, Bell inequalities have been generalized to the case of quantum inputs, leading to a powerful family of semiquantum Bell inequalities that are capable of detecting any entangled state. We focus on a different problem and investigate how the local indistinguishability of quantum inputs and postselection may affect the requirements to detect semiquantum nonlocality. Moreover, we consider a semiquantum nonlocal game based on locally indistinguishable qubit inputs, and derive its postselected local and quantum bounds by using a connection to the local distinguishability of quantum states. Interestingly, we find that the postselected local bound is independent of the measurement efficiency, and the achievable postselected Bell violation increases with decreasing measurement efficiency.
- Authors:
-
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1237146
- Alternate Identifier(s):
- OSTI ID: 1236540
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A
- Additional Journal Information:
- Journal Volume: 93; Journal Issue: 02; Journal ID: ISSN 2469-9926
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Lim, Charles Ci Wen. Optimality of semiquantum nonlocality in the presence of high inconclusive rates. United States: N. p., 2016.
Web. doi:10.1103/PhysRevA.93.020101.
Lim, Charles Ci Wen. Optimality of semiquantum nonlocality in the presence of high inconclusive rates. United States. https://doi.org/10.1103/PhysRevA.93.020101
Lim, Charles Ci Wen. Mon .
"Optimality of semiquantum nonlocality in the presence of high inconclusive rates". United States. https://doi.org/10.1103/PhysRevA.93.020101. https://www.osti.gov/servlets/purl/1237146.
@article{osti_1237146,
title = {Optimality of semiquantum nonlocality in the presence of high inconclusive rates},
author = {Lim, Charles Ci Wen},
abstractNote = {Quantum nonlocality is a counterintuitive phenomenon that lies beyond the purview of causal influences. Recently, Bell inequalities have been generalized to the case of quantum inputs, leading to a powerful family of semiquantum Bell inequalities that are capable of detecting any entangled state. We focus on a different problem and investigate how the local indistinguishability of quantum inputs and postselection may affect the requirements to detect semiquantum nonlocality. Moreover, we consider a semiquantum nonlocal game based on locally indistinguishable qubit inputs, and derive its postselected local and quantum bounds by using a connection to the local distinguishability of quantum states. Interestingly, we find that the postselected local bound is independent of the measurement efficiency, and the achievable postselected Bell violation increases with decreasing measurement efficiency.},
doi = {10.1103/PhysRevA.93.020101},
journal = {Physical Review A},
number = 02,
volume = 93,
place = {United States},
year = {Mon Feb 01 00:00:00 EST 2016},
month = {Mon Feb 01 00:00:00 EST 2016}
}
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Works referenced in this record:
On the Einstein Podolsky Rosen paradox
journal, November 1964
- Bell, J. S.
- Physics Physique Fizika, Vol. 1, Issue 3
Bell nonlocality
journal, April 2014
- Brunner, Nicolas; Cavalcanti, Daniel; Pironio, Stefano
- Reviews of Modern Physics, Vol. 86, Issue 2
Device-Independent Security of Quantum Cryptography against Collective Attacks
journal, June 2007
- Acín, Antonio; Brunner, Nicolas; Gisin, Nicolas
- Physical Review Letters, Vol. 98, Issue 23
Random numbers certified by Bell’s theorem
journal, April 2010
- Pironio, S.; Acín, A.; Massar, S.
- Nature, Vol. 464, Issue 7291
Device-Independent Quantum Key Distribution with Local Bell Test
journal, July 2013
- Lim, Charles Ci Wen; Portmann, Christopher; Tomamichel, Marco
- Physical Review X, Vol. 3, Issue 3
Classical command of quantum systems
journal, April 2013
- Reichardt, Ben W.; Unger, Falk; Vazirani, Umesh
- Nature, Vol. 496, Issue 7446
Fully Device-Independent Quantum Key Distribution
journal, September 2014
- Vazirani, Umesh; Vidick, Thomas
- Physical Review Letters, Vol. 113, Issue 14
Robust and Versatile Black-Box Certification of Quantum Devices
journal, July 2014
- Yang, Tzyh Haur; Vértesi, Tamás; Bancal, Jean-Daniel
- Physical Review Letters, Vol. 113, Issue 4
Optimal detection of quantum information
journal, March 1991
- Peres, Asher; Wootters, William K.
- Physical Review Letters, Vol. 66, Issue 9
Quantum nonlocality without entanglement
journal, February 1999
- Bennett, Charles H.; DiVincenzo, David P.; Fuchs, Christopher A.
- Physical Review A, Vol. 59, Issue 2
Positive-partial-transpose-indistinguishable states via semidefinite programming
journal, January 2013
- Cosentino, Alessandro
- Physical Review A, Vol. 87, Issue 1
Hiding Bits in Bell States
journal, June 2001
- Terhal, Barbara M.; DiVincenzo, David P.; Leung, Debbie W.
- Physical Review Letters, Vol. 86, Issue 25
Quantum data hiding
journal, March 2002
- DiVincenzo, D. P.; Leung, D. W.; Terhal, B. M.
- IEEE Transactions on Information Theory, Vol. 48, Issue 3
Background level and counter efficiencies required for a loophole-free Einstein-Podolsky-Rosen experiment
journal, February 1993
- Eberhard, Philippe H.
- Physical Review A, Vol. 47, Issue 2
Detection loophole in Bell experiments: How postselection modifies the requirements to observe nonlocality
journal, March 2011
- Branciard, Cyril
- Physical Review A, Vol. 83, Issue 3
Fair-sampling assumption is not necessary for testing local realism
journal, January 2010
- Berry, Dominic W.; Jeong, Hyunseok; Stobińska, Magdalena
- Physical Review A, Vol. 81, Issue 1
Quantum state discrimination
journal, January 2009
- Barnett, Stephen M.; Croke, Sarah
- Advances in Optics and Photonics, Vol. 1, Issue 2
Proposed Experiment to Test Local Hidden-Variable Theories
journal, October 1969
- Clauser, John F.; Horne, Michael A.; Shimony, Abner
- Physical Review Letters, Vol. 23, Issue 15
Programmable Quantum Gate Arrays
journal, July 1997
- Nielsen, M. A.; Chuang, Isaac L.
- Physical Review Letters, Vol. 79, Issue 2
Universal Measurement Apparatus Controlled by Quantum Software
journal, October 2002
- Fiurášek, Jaromír; Dušek, Miloslav; Filip, Radim
- Physical Review Letters, Vol. 89, Issue 19
How Much Measurement Independence Is Needed to Demonstrate Nonlocality?
journal, March 2011
- Barrett, Jonathan; Gisin, Nicolas
- Physical Review Letters, Vol. 106, Issue 10
Semidefinite Programming
journal, March 1996
- Vandenberghe, Lieven; Boyd, Stephen
- SIAM Review, Vol. 38, Issue 1
Separability of mixed states: necessary and sufficient conditions
journal, November 1996
- Horodecki, Michał; Horodecki, Paweł; Horodecki, Ryszard
- Physics Letters A, Vol. 223, Issue 1-2
Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
journal, October 1989
- Werner, Reinhard F.
- Physical Review A, Vol. 40, Issue 8
Optimal discrimination of quantum states with a fixed rate of inconclusive outcomes
journal, October 2012
- Bagan, E.; Muñoz-Tapia, R.; Olivares-Rentería, G. A.
- Physical Review A, Vol. 86, Issue 4
Optimal state discrimination with a fixed rate of inconclusive results: Analytical solutions and relation to state discrimination with a fixed error rate
journal, September 2012
- Herzog, Ulrike
- Physical Review A, Vol. 86, Issue 3
Challenging preconceptions about Bell tests with photon pairs
journal, January 2015
- Caprara Vivoli, V.; Sekatski, P.; Bancal, J. -D.
- Physical Review A, Vol. 91, Issue 1
Works referencing / citing this record:
Practical measurement-device-independent entanglement quantification
journal, November 2018
- Rosset, Denis; Martin, Anthony; Verbanis, Ephanielle
- Physical Review A, Vol. 98, Issue 5
Resource-Efficient Measurement-Device-Independent Entanglement Witness
journal, May 2016
- Verbanis, E.; Martin, A.; Rosset, D.
- Physical Review Letters, Vol. 116, Issue 19