Minimum-error discrimination between three mirror-symmetric states

Andersson, E., Barnett, S.M., Gilson, C.R. and Hunter, K. (2002) Minimum-error discrimination between three mirror-symmetric states. Physical Review A: Atomic, Molecular and Optical Physics, 65(5), 052308. (doi:10.1103/PhysRevA.65.052308)

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Publisher's URL: http://dx.doi.org/10.1103/PhysRevA.65.052308

Abstract

We present the optimal measurement strategy for distinguishing between three quantum states exhibiting a mirror symmetry. The three states live in a two-dimensional Hilbert space, and are thus overcomplete. By mirror symmetry, we understand that the transformation {|+〉⃗|+〉,|-〉⃗-|-〉} leaves the set of states invariant. The obtained measurement strategy minimizes the error probability. An experimental realization for polarized photons, realizable with current technology, is suggested.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Gilson, Dr Claire
Authors: Andersson, E., Barnett, S.M., Gilson, C.R., and Hunter, K.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Physical Review A: Atomic, Molecular and Optical Physics
Publisher:American Physical Society
ISSN:1050-2947
ISSN (Online):1094-1622

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