Connections between Mutually Unbiased Bases and Quantum Random Access Codes

Edgar A. Aguilar, Jakub J. Borkała, Piotr Mironowicz, and Marcin Pawłowski

Phys. Rev. Lett. 121, 050501 – Published 30 July 2018

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 semidefinite programming techniques.

Received 26 September 2017
Revised 14 May 2018

DOI:https://doi.org/10.1103/PhysRevLett.121.050501

Physics Subject Headings (PhySH)

Quantum algorithms Quantum communication Quantum measurements Quantum protocols

General PhysicsQuantum Information, Science & Technology

Authors & Affiliations

Edgar A. Aguilar^1,*, Jakub J. Borkała¹, Piotr Mironowicz^1,2,†, and Marcin Pawłowski¹

¹Institute of Theoretical Physics and Astrophysics, National Quantum Information Center, Faculty of Mathematics, Physics and Informatics, 80-308, Gdansk, Poland
²Department of Algorithms and System Modeling, Faculty of Electronics, Telecommunications and Informatics, Gdańsk University of Technology, Gdańsk 80-233, Poland

^*ed.alex.aguilar@gmail.com
^†piotr.mironowicz@gmail.com

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Issue

Vol. 121, Iss. 5 — 3 August 2018

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