How many copies are needed for state discrimination?

Details How many copies are needed for state discrimination? How many copies are needed for state discrimination?

2006-06-15

arxiv.org/abs/quant-ph/0606131v1

IEEE Trans. Inf. Th., vol. 58, no. 1, pp. 1-2, Jan 2012

Physics

Quantum Physics

1 page, submitted to QCMC'06, answer is O(log # of states)

Scientific paper

10.1109/TIT.2011.2169544

Given a collection of states (rho_1, ..., rho_N) with pairwise fidelities
F(rho_i, rho_j) <= F < 1, we show the existence of a POVM that, given
rho_i^{otimes n}, will identify i with probability >= 1-epsilon, as long as
n>=2(log N/eps)/log (1/F). This improves on previous results which were either
dimension-dependent or required that i be drawn from a known distribution.

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