TY - JOUR

T1 - Quantum state separation, unambiguous discrimination and exact cloning

AU - Chefles, A.

AU - Barnett, S.M.

PY - 1998

Y1 - 1998

N2 - Unambiguous discrimination and exact cloning reduce the square-overlap between quantum states, exemplifying the more general type of procedure we term state separation. We obtain the maximum probability with which two equiprobable quantum states can be separated by an arbitrary degree, and find that the established bounds on the success probabilities for discrimination and cloning are special cases of this general bound. The latter also gives the maximum probability of successfully producing N exact copies of a quantum system whose state is chosen secretly from a known pair, given M initial realizations of the state, where N > M. We also discuss the relationship between this bound and that on unambiguous state discrimination.

AB - Unambiguous discrimination and exact cloning reduce the square-overlap between quantum states, exemplifying the more general type of procedure we term state separation. We obtain the maximum probability with which two equiprobable quantum states can be separated by an arbitrary degree, and find that the established bounds on the success probabilities for discrimination and cloning are special cases of this general bound. The latter also gives the maximum probability of successfully producing N exact copies of a quantum system whose state is chosen secretly from a known pair, given M initial realizations of the state, where N > M. We also discuss the relationship between this bound and that on unambiguous state discrimination.

KW - quantum state separation

KW - exact cloning

KW - physics

KW - quantum states

UR - http://arxiv.org/PS_cache/quant-ph/pdf/9808/9808018v1.pdf

UR - http://dx.doi.org/10.1088/0305-4470/31/50/007

U2 - 10.1088/0305-4470/31/50/007

DO - 10.1088/0305-4470/31/50/007

M3 - Article

VL - 31

SP - 10097

EP - 10103

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 0305-4470

IS - 50

ER -