Informational power of the Hoggar symmetric informationally complete positive operator-valued measure

摘要

We compute the informational power for the Hoggar symmetric informationally complete positive operator-valued measure (SIC-POVM) in dimension eight, i.e., the classical capacity of a quantum-classical channel generated by this measurement. We show that the states constituting a maximally informative ensemble form a twin Hoggar SIC-POVM being the image of the original one under a conjugation.