Unambiguous pure state identification without classical knowledge

Details Unambiguous pure state identification without classical knowledge Unambiguous pure state identification without classical knowledge

2005-10-03

arxiv.org/abs/quant-ph/0510015v3

Phys. Rev. A 73, 012328 (2006)

Physics

Quantum Physics

v3: 8 pages, minor corrections, journal version

Scientific paper

10.1103/PhysRevA.73.012328

We study how to unambiguously identify a given quantum pure state with one of the two reference pure states when no classical knowledge on the reference states is given but a certain number of copies of each reference quantum state are presented. By the unambiguous identification, we mean that we are not allowed to make a mistake but our measurement can produce an inconclusive result. Assuming the two reference states are independently distributed over the whole pure state space in a unitary invariant way, we determine the optimal mean success probability for an arbitrary number of copies of the reference states and a general dimension of the state space. It is explicitly shown that the obtained optimal mean success probability asymptotically approaches that of the unambiguous discrimination as the number of the copies of the reference states increases.

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