A1 Refereed original research article in a scientific journal

Quantum random access codes and incompatibility of measurements




AuthorsCarmeli Claudio, Heinosaari Teiko, Toigo Alessandro

PublisherIOP PUBLISHING LTD

Publication year2020

JournalEPL

Journal name in sourceEPL

Journal acronymEPL-EUROPHYS LETT

Article numberARTN 50001

Volume130

Issue5

Number of pages6

ISSN0295-5075

eISSN1286-4854

DOIhttps://doi.org/10.1209/0295-5075/130/50001(external)

Self-archived copy’s web addresshttps://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.

Downloadable publication

This is an electronic reprint of the original article.
This reprint may differ from the original in pagination and typographic detail. Please cite the original version.





Last updated on 2024-26-11 at 21:45