Aberg, Johan, Nery, Ranieri, Duarte, Cristhiano and Chaves, Rafael ORCID: 0000-0001-8493-4019 (2020). Semidefinite Tests for Quantum Network Topologies. Phys. Rev. Lett., 125 (11). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1079-7114

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Abstract

Quantum networks play a major role in long-distance communication, quantum cryptography, clock synchronization, and distributed quantum computing. Generally, these protocols involve many independent sources sharing entanglement among distant parties that, upon measuring their systems, generate correlations across the network. The question of which correlations a given quantum network can give rise to remains almost uncharted. Here we show that constraints on the observable covariances, previously derived for the classical case, also hold for quantum networks. The network topology yields tests that can be cast as semidefinite programs, thus allowing for the efficient characterization of the correlations in a wide class of quantum networks, as well as systematic derivations of device-independent and experimentally testable witnesses. We obtain such semidefinite tests for fixed measurement settings, as well as parties that independently choose among collections of measurement settings. The applicability of the method is demonstrated for various networks, and compared with previous approaches.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Aberg, JohanUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Nery, RanieriUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Duarte, CristhianoUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Chaves, RafaelUNSPECIFIEDorcid.org/0000-0001-8493-4019UNSPECIFIED
URN: urn:nbn:de:hbz:38-319440
DOI: 10.1103/PhysRevLett.125.110505
Journal or Publication Title: Phys. Rev. Lett.
Volume: 125
Number: 11
Date: 2020
Publisher: AMER PHYSICAL SOC
Place of Publication: COLLEGE PK
ISSN: 1079-7114
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
BILOCALITY; INEQUALITYMultiple languages
Physics, MultidisciplinaryMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/31944

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