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Quantum
Information and Computation
ISSN: 1533-7146
published since 2001
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Vol.10 No.9&10
September 2010 |
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All mutually unbiased bases in dimensions two to five
(pp0803-0820)
Stephen
Brierley, Stefan Weigert, and Ingemar Bengtsson
doi:
https://doi.org/10.26421/QIC10.9-10-6
Abstracts:
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.
Key words:
Mutually unbiased bases, complex Hadamard matrices |
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