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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Official 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.

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Item metadata

Item type:	Article
ID code:	2857
Dates:	Date Event 19 April 2002 Published
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:	22 Apr 2021 00:35
Related URLs:	http://arxiv.org/PS_cache/quant-ph/pdf/0...
URI:	https://strathprints.strath.ac.uk/id/eprint/2857

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