Structure of the sets of mutually unbiased bases with cyclic symmetry
| Autor: | Seyfarth, Ulrich, Sanchez-Soto, Luis L., Leuchs, Gerd |
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| Rok vydání: | 2014 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1751-8113/47/45/455303 |
| Popis: | Mutually unbiased bases that can be cyclically generated by a single unitary operator are of special interest, since they can be readily implemented in practice. We show that, for a system of qubits, finding such a generator can be cast as the problem of finding a symmetric matrix over the field $\mathbb{F}_2$ equipped with an irreducible characteristic polynomial of a given Fibonacci index. The entanglement structure of the resulting complete sets is determined by two additive matrices of the same size. Comment: 20 pages |
| Databáze: | arXiv |
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