Operational link between mutually unbiased bases and symmetric informationally complete positive operator-valued measures
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.
- Publication:
-
Physical Review A
- Pub Date:
- September 2013
- DOI:
- 10.1103/PhysRevA.88.032312
- Bibcode:
- 2013PhRvA..88c2312B
- Keywords:
-
- 03.67.-a;
- Quantum information