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Quantum Bounds on Detector Efficiencies for Violating Bell Inequalities Using Semidefinite Programming

Alber, Gernot ; Sauer, Alexander (2020)
Quantum Bounds on Detector Efficiencies for Violating Bell Inequalities Using Semidefinite Programming.
In: Cryptography, 4 (1)
doi: 10.3390/cryptography4010002
Article, Bibliographie

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Abstract

Loophole-free violations of Bell inequalities are crucial for fundamental tests of quantum nonlocality. They are also important for future applications in quantum information processing, such as device-independent quantum key distribution. Based on a detector model which includes detector inefficiencies and dark counts, we estimate the minimal requirements on detectors needed for performing loophole-free bipartite and tripartite Bell tests. Our numerical investigation is based on a hierarchy of semidefinite programs for characterizing possible quantum correlations. We find that for bipartite setups with two measurement choices and our detector model, the optimal inequality for a Bell test is equivalent to the Clauser–Horne inequality.

Item Type: Article
Erschienen: 2020
Creators: Alber, Gernot ; Sauer, Alexander
Type of entry: Bibliographie
Title: Quantum Bounds on Detector Efficiencies for Violating Bell Inequalities Using Semidefinite Programming
Language: English
Date: 3 January 2020
Publisher: MDPI
Journal or Publication Title: Cryptography
Volume of the journal: 4
Issue Number: 1
Collation: 10 Seiten
DOI: 10.3390/cryptography4010002
Corresponding Links:
Abstract:

Loophole-free violations of Bell inequalities are crucial for fundamental tests of quantum nonlocality. They are also important for future applications in quantum information processing, such as device-independent quantum key distribution. Based on a detector model which includes detector inefficiencies and dark counts, we estimate the minimal requirements on detectors needed for performing loophole-free bipartite and tripartite Bell tests. Our numerical investigation is based on a hierarchy of semidefinite programs for characterizing possible quantum correlations. We find that for bipartite setups with two measurement choices and our detector model, the optimal inequality for a Bell test is equivalent to the Clauser–Horne inequality.

Uncontrolled Keywords: Primitives, P4
Additional Information:

Special Issue "Quantum Cryptography and Cyber Security", Art.No.: 2 ; Erstveröffentlichung

Divisions: 20 Department of Computer Science
DFG-Collaborative Research Centres (incl. Transregio)
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres
Profile Areas
Profile Areas > Cybersecurity (CYSEC)
05 Department of Physics
05 Department of Physics > Institute of Applied Physics
05 Department of Physics > Institute of Applied Physics > Theoretical Quantum Physics Group
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 1119: CROSSING – Cryptography-Based Security Solutions: Enabling Trust in New and Next Generation Computing Environments
Date Deposited: 10 Jun 2021 07:49
Last Modified: 04 Dec 2023 12:19
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