Connections between mutually unbiased bases and quantum random access codes

Edgar Aguilar Lozano , Jakub Borkała , Piotr Mironowicz , Marcin Pawłowski


We present a new quantum communication complexity protocol, the promise-quantum random access code, which allows us to introduce a new measure of unbiasedness for bases of Hilbert spaces. The proposed measure possesses a clear operational meaning and can be used to investigate whether a specific number of mutually unbiased bases exist in a given dimension by employing semidefinite programming techniques.
Author Edgar Aguilar Lozano (FMPI / ITPA)
Edgar Aguilar Lozano,,
- Institute of Theoretical Physics and Astrophysics
, Jakub Borkała (FMPI / ITPA)
Jakub Borkała,,
- Institute of Theoretical Physics and Astrophysics
, Piotr Mironowicz
Piotr Mironowicz,,
, Marcin Pawłowski (FMPI / ITPA)
Marcin Pawłowski,,
- Institute of Theoretical Physics and Astrophysics
Journal seriesPhysical Review Letters, ISSN 0031-9007, (A 45 pkt)
Issue year2018
Publication size in sheets0.5
Languageen angielski
Score (nominal)45
ScoreMinisterial score = 45.0, ArticleFromJournal
Ministerial score (2013-2016) = 45.0, ArticleFromJournal
Publication indicators WoS Impact Factor: 2017 = 8.839 (2) - 2017=7.888 (5)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.