We exhibit an operational connection between mutually unbiased bases and symmetric informationally complete positive operator-valued measures. Assuming that the latter exists, we show that there is a strong link between these two structures in all prime power dimensions. We also demonstrate that a similar link cannot exist in dimension 6.
Operational link between mutually unbiased bases and symmetric informationally complete positive operator-valued measures
TOIGO, ALESSANDRO
2013-01-01
Abstract
We exhibit an operational connection between mutually unbiased bases and symmetric informationally complete positive operator-valued measures. Assuming that the latter exists, we show that there is a strong link between these two structures in all prime power dimensions. We also demonstrate that a similar link cannot exist in dimension 6.File in questo prodotto:
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PhysRevA_88_032312_2013.pdf
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