Connections between Mutually Unbiased Bases and Quantum Random Access Codes

Edgar Aguilar Lozano; Jakub Borkała; Piotr Andrzej Mironowicz; Marcin Pawłowski

doi:10.1103/physrevlett.121.050501

Connections between Mutually Unbiased Bases and Quantum Random Access Codes

Abstract

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 Semi--Definite Programming techniques.

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Keywords

SEMI-DEFINITE PROGRAMMING

Details

Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: PHYSICAL REVIEW LETTERS no. 121, edition 5, pages 1 - 6,
ISSN: 0031-9007
Language:: English
Publication year:: 2018
Bibliographic description:: Aguilar Lozano E., Borkała J., Mironowicz P. A., Pawłowski M.: Connections between Mutually Unbiased Bases and Quantum Random Access Codes// PHYSICAL REVIEW LETTERS. -Vol. 121, iss. 5 (2018), s.1-6
DOI:: Digital Object Identifier (open in new tab) 10.1103/physrevlett.121.050501
Verified by:: Gdańsk University of Technology