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arXiv · 1911.04360

Quantum random access codes and incompatibility of measurements

Claudio Carmeli·Teiko Heinosaari·Alessandro Toigo
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Abstract

We prove that quantum random access code (QRAC) 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 QRAC 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 QRAC and earlier quantities introduced to assess incompatibility.

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Claudio Carmeli, Teiko Heinosaari, Alessandro Toigo. 2019-11-11. Quantum random access codes and incompatibility of measurements. https://doi.org/10.1209/0295-5075/130/50001

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