On the Impossibility to Extend Triples of Mutually Unbiased Product Bases in Dimension Six

Details On the Impossibility to Extend Triples of Mutually Unbiased Product Bases in Dimension Six On the Impossibility to Extend Triples of Mutually Unbiased Product Bases in Dimension Six

2012-03-30

arxiv.org/abs/1203.6887v1

Physics

Quantum Physics

12 pages

Scientific paper

An analytic proof is given which shows that it is impossible to extend any
triple of mutually unbiased product bases in dimension six by a single mutually
unbiased vector. The approach improves on recent computer-aided methods to
derive this result, and it represents one of the few analytic forays into the
properties of mutually unbiased bases for d=6.

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