Semidefinite Tests for Quantum Network Topologies.

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2020
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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.
Reference Key
berg2020semidefinitephysical Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Åberg, Johan;Nery, Ranieri;Duarte, Cristhiano;Chaves, Rafael;
Journal physical review letters
Year 2020
DOI
10.1103/PhysRevLett.125.110505
URL
Keywords
sensor fusion kalman filter watermarking 2d qim can radar objects sensor data integrity

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