Device-independent bounds from Cabello's nonlocality argument

J 2021

Device-independent bounds from Cabello's nonlocality argument

RAI, A., Matej PIVOLUSKA, Martin PLESCH, S. SASMAL, M. BANIK et. al.

Basic information

Original name

Device-independent bounds from Cabello's nonlocality argument

Authors

RAI, A., Matej PIVOLUSKA (703 Slovakia, belonging to the institution), Martin PLESCH (703 Slovakia, belonging to the institution), S. SASMAL, M. BANIK and S. GHOSH

Edition

Physical review A, New York, The American Physical Society, 2021, 2469-9926

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10201 Computer sciences, information science, bioinformatics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

URL

Impact factor

Impact factor: 2.971

RIV identification code

RIV/00216224:14610/21:00121949

Organization unit

Institute of Computer Science

DOI

http://dx.doi.org/10.1103/PhysRevA.103.062219

UT WoS

000665117900001

Keywords (in Czech)

non-locality; entanglement

Keywords in English

non-locality; entanglement

Abstract

V originále

Hardy-type arguments manifest Bell nonlocality in one of the simplest possible ways. Except for demonstrating nonclassical signature of entangled states in question, they can also serve for device-independent self-testing of states, as shown, e.g., in Phys. Rev. Lett. 109, 180401 (2012). Here we develop and broaden these results to an extended version of Hardy's argument, often referred to as Cabello's nonlocality argument. We show that, as in the simpler case of Hardy's nonlocality argument, the maximum quantum value for Cabello's nonlocality is achieved by a pure two-qubit state and projective measurements that are unique up to local isometries. We also examine the properties of a more realistic case when small errors in the ideal constraints are accepted within the probabilities obtained and prove that also in this case the two-qubit state and measurements are sufficient for obtaining the maximum quantum violation of the classical bound.

Links

MUNI/G/1596/2019, interní kód MU

Name: Development of algorithms for application of quantum computers in electronic-structure calculations in solid-state physics and chemistry (Acronym: Qubits4PhysChem)

Investor: Masaryk University, INTERDISCIPLINARY - Interdisciplinary research projects

Citovat

RAI, A., Matej PIVOLUSKA, Martin PLESCH, S. SASMAL, M. BANIK and S. GHOSH. Device-independent bounds from Cabello's nonlocality argument. Physical review A. New York: The American Physical Society, 2021, vol. 103, No 6, p. 1-7. ISSN 2469-9926. Available from: https://dx.doi.org/10.1103/PhysRevA.103.062219.

@article{1782984,
   author = {Rai, A. and Pivoluska, Matej and Plesch, Martin and Sasmal, S. and Banik, M. and Ghosh, S.},
   article_location = {New York},
   article_number = {6},
   doi = {http://dx.doi.org/10.1103/PhysRevA.103.062219},
   keywords = {non-locality; entanglement},
   language = {eng},
   issn = {2469-9926},
   journal = {Physical review A},
   title = {Device-independent bounds from Cabello's nonlocality argument},
   url = {https://journals.aps.org/pra/abstract/10.1103/PhysRevA.103.062219},
   volume = {103},
   year = {2021}
}

TY  - JOUR
ID  - 1782984
AU  - Rai, A. - Pivoluska, Matej - Plesch, Martin - Sasmal, S. - Banik, M. - Ghosh, S.
PY  - 2021
TI  - Device-independent bounds from Cabello's nonlocality argument
JF  - Physical review A
VL  - 103
IS  - 6
SP  - 1-7
EP  - 1-7
PB  - The American Physical Society
SN  - 24699926
KW  - non-locality
KW  - entanglement
UR  - https://journals.aps.org/pra/abstract/10.1103/PhysRevA.103.062219
N2  - Hardy-type arguments manifest Bell nonlocality in one of the simplest possible ways. Except for demonstrating nonclassical signature of entangled states in question, they can also serve for device-independent self-testing of states, as shown, e.g., in Phys. Rev. Lett. 109, 180401 (2012). Here we develop and broaden these results to an extended version of Hardy's argument, often referred to as Cabello's nonlocality argument. We show that, as in the simpler case of Hardy's nonlocality argument, the maximum quantum value for Cabello's nonlocality is achieved by a pure two-qubit state and projective measurements that are unique up to local isometries. We also examine the properties of a more realistic case when small errors in the ideal constraints are accepted within the probabilities obtained and prove that also in this case the two-qubit state and measurements are sufficient for obtaining the maximum quantum violation of the classical bound.
ER  -

RAI, A., Matej PIVOLUSKA, Martin PLESCH, S. SASMAL, M. BANIK and S. GHOSH. Device-independent bounds from Cabello's nonlocality argument. \textit{Physical review A}. New York: The American Physical Society, 2021, vol.~103, No~6, p.~1-7. ISSN~2469-9926. Available from: https://dx.doi.org/10.1103/PhysRevA.103.062219.

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