Optimal distinction between non-orthogonal quantum states

Details Optimal distinction between non-orthogonal quantum states Optimal distinction between non-orthogonal quantum states

1998-04-12

arxiv.org/abs/quant-ph/9804031v1

J.Phys.A31:7105-7112,1998

Physics

Quantum Physics

9 pages LaTeX, one PostScript figure on separate page

Scientific paper

10.1088/0305-4470/31/34/013

Given a finite set of linearly independent quantum states, an observer who examines a single quantum system may sometimes identify its state with certainty. However, unless these quantum states are orthogonal, there is a finite probability of failure. A complete solution is given to the problem of optimal distinction of three states, having arbitrary prior probabilities and arbitrary detection values. A generalization to more than three states is outlined.

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