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Minimum-error discrimination between three mirror-symmetric states

Andersson, E. and Barnett, S.M. and Gilson, C.R. and Hunter, K. (2002) Minimum-error discrimination between three mirror-symmetric states. Physical Review A, 65 (5). 052308-1. ISSN 1094-1622

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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: Article
ID code: 2857
Keywords: quantum physics, quantum states, mirror symmetry, optics, photonics, Optics. Light, Atomic and Molecular Physics, and Optics
Subjects: Science > Physics > Optics. Light
Department: Faculty of Science > Physics
Unknown Department
Depositing user: Mr Derek Boyle
Date deposited: 02 Feb 2007
Last modified: 21 Apr 2019 11:29
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URI: https://strathprints.strath.ac.uk/id/eprint/2857
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