Connections Between Mutually Unbiased Bases and Quantum Random Access Codes
Quantum Physics
2018-08-08 v2
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.
Cite
@article{arxiv.1709.04898,
title = {Connections Between Mutually Unbiased Bases and Quantum Random Access Codes},
author = {Edgar A. Aguilar and Jakub J. Borkała and Piotr Mironowicz and Marcin Pawłowski},
journal= {arXiv preprint arXiv:1709.04898},
year = {2018}
}
Comments
5+5 pages; new SDP method added