Optimum unambiguous identification of d unknown pure qudit states

Details Optimum unambiguous identification of d unknown pure qudit states Optimum unambiguous identification of d unknown pure qudit states

2008-09-29

arxiv.org/abs/0809.4884v2

Phys. Rev. A 78, 032320 (2008), Erratum: Phys. Rev. A 78, 069902 (2008)

Physics

Quantum Physics

A reference has been included and a sign error has been corrected that propagated and affected the final result and is unfortu

Scientific paper

10.1103/PhysRevA.78.032320

We address the problem of unambiguously identifying the state of a probe qudit with the state of one of d reference qudits. The reference states are assumed pure and linearly independent but we have no knowledge of them. The state of the probe qudit is assumed to coincide equally likely with either one of the d unknown reference states. We derive the optimum measurement strategy that maximizes the success probability of unambiguous identification and find that the optimum strategy is a generalized measurement. We give both the measurement operators and the optimum success probability explicitly. Technically, the problem we solve amounts to the optimum unambiguous discrimination of d known mixed quantum states.

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