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Random access test as an identifier of nonclassicality

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arxiv 2112.03781 v2 pith:ICSN7IBH submitted 2021-12-07 quant-ph

Random access test as an identifier of nonclassicality

classification quant-ph
keywords accessrandomclassicalcodesdifferencefiniteinformationmeasurements
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Random access codes are an intriguing class of communication tasks that reveal an operational and quantitative difference between classical and quantum information processing. We formulate a natural generalization of random access codes and call them random access tests, defined for any finite collection of measurements in an arbitrary finite dimensional general probabilistic theory. These tests can be used to examine collective properties of collections of measurements. We show that the violation of a classical bound in a random access test is a signature of either measurement incompatibility or super information storability. The polygon theories are exhaustively analyzed and a critical difference between even and odd polygon theories is revealed.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. An Operational Framework for Nonclassicality in Quantum Communication Networks

    quant-ph 2024-03 unverdicted novelty 7.0

    A variational optimization framework computes linear classical bounds on network input/output probabilities whose violation certifies nonclassicality, finding entanglement necessary for nonclassicality in single-sende...