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All mutually unbiased bases in dimensions two to five | Synapse

September 1, 2010

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All mutually unbiased bases in dimensions two to five

SBStephen BrierleyRiverlane (United Kingdom)SWStefan WeigertUniversity of York IBIngemar BengtssonAlbaNova

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Resumen

All complex Hadamard matrices in dimensions two to five are known. We use this fact to derive all inequivalent sets of mutually unbiased (MU) bases in low dimensions. We find a three-parameter family of triples of MU bases in dimension four and two inequivalent classes of MU triples in dimension five. We confirm that the complete sets of (d+1) MU bases are unique (up to equivalence) in dimensions below six, using only elementary arguments for d less than five.

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Cite This Study

Brierley et al. (Wed,) studied this question.

synapsesocial.com/papers/6a129e225a4f3a9db9a3fb9b https://doi.org/https://doi.org/10.26421/qic10.9-10-6