dorsal/arxiv
View SchemaA combinatorial approach for studying LOCC transformations of multipartite states
| Authors | Sudhir Kumar Singh, Sudebkumar Prasant Pal, Somesh Kumar, R. Srikanth |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406135 |
| URL | https://arxiv.org/abs/quant-ph/0406135 |
Abstract
We develop graph theoretic methods for analysing maximally entangled pure states distributed between a number of different parties. We introduce a technique called {\it bicolored merging}, based on the monotonicity feature of entanglement measures, for determining combinatorial conditions that must be satisfied for any two distinct multiparticle states to be comparable under local operations and classical communication (LOCC). We present several results based on the possibility or impossibility of comparability of pure multipartite states. We show that there are exponentially many such entangled multipartite states among $n$ agents. Further, we discuss a new graph theoretic metric on a class of multi-partite states, and its implications.
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"abstract": "We develop graph theoretic methods for analysing maximally entangled pure\nstates distributed between a number of different parties. We introduce a\ntechnique called {\\it bicolored merging}, based on the monotonicity feature of\nentanglement measures, for determining combinatorial conditions that must be\nsatisfied for any two distinct multiparticle states to be comparable under\nlocal operations and classical communication (LOCC). We present several results\nbased on the possibility or impossibility of comparability of pure multipartite\nstates. We show that there are exponentially many such entangled multipartite\nstates among $n$ agents. Further, we discuss a new graph theoretic metric on a\nclass of multi-partite states, and its implications.",
"arxiv_id": "quant-ph/0406135",
"authors": [
"Sudhir Kumar Singh",
"Sudebkumar Prasant Pal",
"Somesh Kumar",
"R. Srikanth"
],
"categories": [
"quant-ph",
"cs.DM",
"math.CO"
],
"title": "A combinatorial approach for studying LOCC transformations of multipartite states",
"url": "https://arxiv.org/abs/quant-ph/0406135"
},
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