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All Mutually Unbiased Product Bases in Dimension 6

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JournalJ. Phys. A: Math. Theor.
DatePublished - 6 Apr 2012
Issue number13
Volume45
Number of pages22
Original languageEnglish

Abstract

All mutually unbiased bases in dimension 6 consisting of product states only are constructed. Several continuous families of pairs and two triples of mutually unbiased product bases are found to exist but no quadruple. The exhaustive classification leads to a proof that a complete set of seven mutually unbiased bases, if it exists, cannot contain a triple of mutually unbiased product bases.

    Research areas

  • mathematical physics;, quantum information, quantum mechanics

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