dorsal/arxiv
View SchemaDistinguishing Arbitrary Multipartite Basis Unambiguously Using Local Operations and Classical Communication
| Authors | Runyao Duan, Yuan Feng, Zhengfeng Ji, Mingsheng Ying |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0612034 |
| URL | https://arxiv.org/abs/quant-ph/0612034 |
| DOI | 10.1103/PhysRevLett.98.230502 |
| Journal | Phys. Rev. Lett. 98, 230502 (2007) |
Abstract
We show that an arbitrary basis of a multipartite quantum state space consisting of $K$ distant parties such that the $k$th party has local dimension $d_k$ always contains at least $N=\sum_{k=1}^K (d_k-1)+1$ members that are unambiguously distinguishable using local operations and classical communication (LOCC). We further show this lower bound is optimal by analytically constructing a special product basis having only $N$ members unambiguously distinguishable by LOCC. Interestingly, such a special product basis not only gives a stronger form of the weird phenomenon ``nonlocality without entanglement", but also implies the existence of locally distinguishable entangled basis.
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"abstract": "We show that an arbitrary basis of a multipartite quantum state space\nconsisting of $K$ distant parties such that the $k$th party has local dimension\n$d_k$ always contains at least $N=\\sum_{k=1}^K (d_k-1)+1$ members that are\nunambiguously distinguishable using local operations and classical\ncommunication (LOCC). We further show this lower bound is optimal by\nanalytically constructing a special product basis having only $N$ members\nunambiguously distinguishable by LOCC. Interestingly, such a special product\nbasis not only gives a stronger form of the weird phenomenon ``nonlocality\nwithout entanglement\", but also implies the existence of locally\ndistinguishable entangled basis.",
"arxiv_id": "quant-ph/0612034",
"authors": [
"Runyao Duan",
"Yuan Feng",
"Zhengfeng Ji",
"Mingsheng Ying"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.98.230502",
"journal_ref": "Phys. Rev. Lett. 98, 230502 (2007)",
"title": "Distinguishing Arbitrary Multipartite Basis Unambiguously Using Local Operations and Classical Communication",
"url": "https://arxiv.org/abs/quant-ph/0612034"
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