Discrimination of quantum observables using limited resources
: Ziman M, Heinosaari T
Publisher: AMER PHYSICAL SOC
: 2008
Physical Review A
: PHYSICAL REVIEW A
: PHYS REV A
: ARTN 042321
: 77
: 4
: 7
: 1050-2947
DOI: https://doi.org/10.1103/PhysRevA.77.042321
We address the problem of unambiguous discrimination and identification among quantum observables. We set a general framework and investigate in detail the case of qubit observables. In particular, we show that perfect discrimination with two shots is possible only for sharp qubit observables (e.g., Stern-Gerlach apparatuses) associated with mutually orthogonal directions. We also show that for sharp qubit observables associated to nonorthogonal directions unambiguous discrimination with an inconclusive result is always possible.