dorsal/arxiv
View SchemaMinimum-error discrimination between three mirror-symmetric states
| Authors | Erika Andersson, Stephen M. Barnett, Claire R. Gilson, Kieran Hunter |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0201074 |
| URL | https://arxiv.org/abs/quant-ph/0201074 |
| DOI | 10.1103/PhysRevA.65.052308 |
| Journal | Phys. Rev. A 65, 052308 (2002) |
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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"abstract": "We present the optimal measurement strategy for distinguishing between three\nquantum states exhibiting a mirror symmetry. The three states live in a\ntwo-dimensional Hilbert space, and are thus overcomplete. By mirror symmetry we\nunderstand that the transformation {|+\u003e -\u003e |+\u003e, |-\u003e -\u003e -|-\u003e} leaves the set of\nstates invariant. The obtained measurement strategy minimizes the error\nprobability. An experimental realization for polarized photons, realizable with\ncurrent technology, is suggested.",
"arxiv_id": "quant-ph/0201074",
"authors": [
"Erika Andersson",
"Stephen M. Barnett",
"Claire R. Gilson",
"Kieran Hunter"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.65.052308",
"journal_ref": "Phys. Rev. A 65, 052308 (2002)",
"title": "Minimum-error discrimination between three mirror-symmetric states",
"url": "https://arxiv.org/abs/quant-ph/0201074"
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