A1 Refereed original research article in a scientific journal
Quantum random access codes and incompatibility of measurements
Authors: Carmeli Claudio, Heinosaari Teiko, Toigo Alessandro
Publisher: IOP PUBLISHING LTD
Publication year: 2020
Journal: EPL
Journal name in source: EPL
Journal acronym: EPL-EUROPHYS LETT
Article number: ARTN 50001
Volume: 130
Issue: 5
Number of pages: 6
ISSN: 0295-5075
eISSN: 1286-4854
DOI: https://doi.org/10.1209/0295-5075/130/50001(external)
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/49499111(external)
Abstract
It is one of the peculiar features of quantum physics that some sets of measurements are incompatible in the sense that they cannot be performed simultaneously. Incompatibility is an important quantum resource as it enables Bell nonlocality and steering. Here we show that incompatibility is crucial also in certain communication tasks; we prove that quantum random access code performs better than its classical counterpart only when incompatible quantum measurements are used in the decoding task. As a consequence, evaluating the average success probability for quantum random access code provides a semi-device-independent test for the detection of quantum incompatibility. We further demonstrate that any incompatible pair of projective measurements gives an advantage over all classical strategies. Finally, we establish a connection between the maximal average success probability for quantum random access code and earlier quantities introduced to assess incompatibility.
It is one of the peculiar features of quantum physics that some sets of measurements are incompatible in the sense that they cannot be performed simultaneously. Incompatibility is an important quantum resource as it enables Bell nonlocality and steering. Here we show that incompatibility is crucial also in certain communication tasks; we prove that quantum random access code performs better than its classical counterpart only when incompatible quantum measurements are used in the decoding task. As a consequence, evaluating the average success probability for quantum random access code provides a semi-device-independent test for the detection of quantum incompatibility. We further demonstrate that any incompatible pair of projective measurements gives an advantage over all classical strategies. Finally, we establish a connection between the maximal average success probability for quantum random access code and earlier quantities introduced to assess incompatibility.
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