dorsal/arxiv
View SchemaLocal indistinguishability and LOCC monotones
| Authors | Michal Horodecki, Aditi Sen De, Ujjwal Sen, Karol Horodecki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0204116 |
| URL | https://arxiv.org/abs/quant-ph/0204116 |
| DOI | 10.1103/PhysRevLett.90.047902 |
Abstract
We provide a method for checking indistinguishability of a set of multipartite orthogonal states by local operations and classical communication (LOCC). It bases on the principle of nonincreasing of entanglement under LOCC. This method originates from the one introduced by Ghosh \emph{et al.} (Phys. Rev. Lett. \textbf{87}, 5807 (2001) (quant-ph/0106148)), though we deal with {\emph pure} states. In the bipartite case, our method is operational, although we do not know whether it can always detect local indistinguishability. We apply our method to show that an arbitrary complete multipartite orthogonal basis is indistinguishable if it contains at least one entangled state. We also show that probabilistic distinguishing is possible for full basis if and only if all vectors are product. We employ our method to prove local indistinguishability in a very interesting example akin to "nonlocality without entanglement".
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"abstract": "We provide a method for checking indistinguishability of a set of\nmultipartite orthogonal states by local operations and classical communication\n(LOCC). It bases on the principle of nonincreasing of entanglement under LOCC.\nThis method originates from the one introduced by Ghosh \\emph{et al.} (Phys.\nRev. Lett. \\textbf{87}, 5807 (2001) (quant-ph/0106148)), though we deal with\n{\\emph pure} states. In the bipartite case, our method is operational, although\nwe do not know whether it can always detect local indistinguishability. We\napply our method to show that an arbitrary complete multipartite orthogonal\nbasis is indistinguishable if it contains at least one entangled state. We also\nshow that probabilistic distinguishing is possible for full basis if and only\nif all vectors are product. We employ our method to prove local\nindistinguishability in a very interesting example akin to \"nonlocality without\nentanglement\".",
"arxiv_id": "quant-ph/0204116",
"authors": [
"Michal Horodecki",
"Aditi Sen De",
"Ujjwal Sen",
"Karol Horodecki"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.90.047902",
"title": "Local indistinguishability and LOCC monotones",
"url": "https://arxiv.org/abs/quant-ph/0204116"
},
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