dorsal/arxiv
View SchemaDistinguishing Bipartitite Orthogonal States using LOCC: Best and Worst Cases
| Authors | Michael Nathanson |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0411110 |
| URL | https://arxiv.org/abs/quant-ph/0411110 |
| DOI | 10.1063/1.1914731 |
| Journal | J. Math. Phys. 46, 062103 (2005) |
Abstract
Two types of results are presented for distinguishing pure bipartite quantum states using Local Operations and Classical Communications. We examine sets of states that can be perfectly distinguished, in particular showing that any three orthogonal maximally entangled states in C^3 tensor C^3 form such a set. In cases where orthogonal states cannot be distinguished, we obtain upper bounds for the probability of error using LOCC taken over all sets of k orthogonal states in C^n tensor C^m. In the process of proving these bounds, we identify some sets of orthogonal states for which perfect distinguishability is not possible.
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"abstract": "Two types of results are presented for distinguishing pure bipartite quantum\nstates using Local Operations and Classical Communications. We examine sets of\nstates that can be perfectly distinguished, in particular showing that any\nthree orthogonal maximally entangled states in C^3 tensor C^3 form such a set.\nIn cases where orthogonal states cannot be distinguished, we obtain upper\nbounds for the probability of error using LOCC taken over all sets of k\northogonal states in C^n tensor C^m. In the process of proving these bounds, we\nidentify some sets of orthogonal states for which perfect distinguishability is\nnot possible.",
"arxiv_id": "quant-ph/0411110",
"authors": [
"Michael Nathanson"
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"quant-ph"
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"doi": "10.1063/1.1914731",
"journal_ref": "J. Math. Phys. 46, 062103 (2005)",
"title": "Distinguishing Bipartitite Orthogonal States using LOCC: Best and Worst Cases",
"url": "https://arxiv.org/abs/quant-ph/0411110"
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