Maximal Sets of Mutually Unbiased Quantum States in Dimension Six

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dc.creatorBrierley, Stephen
dc.creatorWeigert, Stefan
dc.date2008-08-12
dc.date.accessioned2026-07-07T10:11:23Z
dc.date.available2026-07-07T10:11:23Z
dc.descriptionWe study sets of pure states in a Hilbert space of dimension d which are mutually unbiased (MU), that is, the squares of the moduli of their scalar products are equal to zero, one, or 1/d. These sets will be called a MU constellation, and if four MU bases were to exist for d=6, they would give rise to 35 different MU constellations. Using a numerical minimisation procedure, we are able to identify only 18 of them in spite of extensive searches. The missing MU constellations provide the strongest numerical evidence so far that no seven MU bases exist in dimension six.
dc.description19 pages, 6 figures, 4 tables
dc.identifierhttps://arxiv.org/abs/0808.1614
dc.identifierhttp://arxiv.org/abs/0808.1614
dc.identifierPhys. Rev. A 78, 042312 (2008)
dc.identifierdoi:10.1103/PhysRevA.78.042312
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171849
dc.subjectQuantum Physics
dc.titleMaximal Sets of Mutually Unbiased Quantum States in Dimension Six
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