New approach to finding the maximum number of mutually unbiased bases in $\mathbb{C}^6$
| Autor: | Batle, J. |
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| Rok vydání: | 2013 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | There has been great interest in finding sets of $m$ mutually unbiased bases which are compatible with a given space $\mathbb{C}^d$, specially in physics due to their interesting applications in quantum information theory. Several general results have been obtained so far, but surprising results may occur for definite $(m,d)$-values. One such case that has remained an open question (the simplest case) is the one regarding the existence of $m=4$ mutually orthogonal bases for $d=6$. In the present work we introduce a new approach to the problem by translating it into an optimization procedure for a given pair $(m,d)$. Comment: 5 pages, 2 figures. arXiv admin note: text overlap with arXiv:0907.4097 by other authors |
| Databáze: | arXiv |
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