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 |
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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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