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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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Limits on entropic uncertainty relations
(pp0848-0858)
Andris
Ambainis
doi:
https://doi.org/10.26421/QIC10.9-10-10
Abstracts:
We consider entropic uncertainty relations for outcomes of the
measurements of a quantum state in 3 or more mutually unbiased bases (MUBs),
chosen from the standard construction of MUBs in prime dimension. We
show that, for any choice of 3 MUBs and at least one choice of a larger
number of MUBs, the best possible entropic uncertainty relation can be
only marginally better than the one that trivially follows from the
relation by Maassen and Uffink (PRL, 1987) for 2 bases.
Key words:
entropic uncertainty relations, mutually unbiased bases |
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