Operational link between mutually unbiased bases and symmetric informationally complete positive operator-valued measures
: Beneduci R, Bullock TJ, Busch P, Carmeli C, Heinosaari T, Toigo A
Publisher: AMER PHYSICAL SOC
: 2013
: Physical Review A
: PHYSICAL REVIEW A
: PHYS REV A
: ARTN 032312
: 3
: 88
: 3
: 15
: 1050-2947
DOI: https://doi.org/10.1103/PhysRevA.88.032312
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.