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AN APPLICATION OF POSITIVE DEFINITE FUNCTIONS TO THE PROBLEM OF MUBS.

Authors :
Kolountzakis, Mihail N.
Matolcsi, Máté
Weiner, Mihály
Source :
Proceedings of the American Mathematical Society. Mar2018, Vol. 146 Issue 3, p1143-1150. 8p.
Publication Year :
2018

Abstract

We present a new approach to the problem of mutually unbiased bases (MUBs), based on positive definite functions on the unitary group. The method provides a new proof of the fact that there are at most d + 1 MUBs in Cd, and it may also lead to a proof of non-existence of complete systems of MUBs in dimension 6 via a conjectured algebraic identity. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*UNITARY groups
*QUANTUM information theory
*STOCHASTIC partial differential equations
*DELSARTE system
*HADAMARD matrices

Details

Language :
English
ISSN :
00029939
Volume :
146
Issue :
3
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
127634920
Full Text :
https://doi.org/10.1090/proc/13829
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