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A new proof for the existence of mutually unbiased bases
| Venue: | Algorithmica |
| Citations: | 3 - 0 self |
BibTeX
@ARTICLE{B_anew,
author = {Somshubhro B and P. Oscar Boykin and Vwani Roychowdhury and Farrokh Vatan},
title = {A new proof for the existence of mutually unbiased bases},
journal = {Algorithmica},
year = {},
pages = {512--528}
}
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Abstract
We develop a strong connection between maximally commuting bases of orthogonal unitary matrices and mutually unbiased bases. A necessary condition of the existence of mutually unbiased bases for any finite dimension is obtained. Then a constructive proof of the existence of mutually unbiased bases for dimensions which are power of a prime is presented. It is also proved that in any dimension d the number of mutually unbiased bases is at most d + 1. An explicit representation of mutually unbiased observables in terms of Pauli matrices are provided for d = 2 m. 1
