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

CARMELI, CLAUDIO;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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/631573
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