dorsal/arxiv
View SchemaCombinatorial Topology Of Multipartite Entangled States
| Authors | Roman R. Zapatrin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0207058 |
| URL | https://arxiv.org/abs/quant-ph/0207058 |
| DOI | 10.1080/09500340308234539 |
Abstract
With any state of a multipartite quantum system its separability polytope is associated. This is an algebro-topological object (non-trivial only for mixed states) which captures the localisation of entanglement of the state. Particular examples of separability polytopes for 3-partite systems are explicitly provided. It turns out that this characterisation of entanglement is associated with simulation of arbitrary unitary operations by 1- and 2-qubit gates. A topological description of how entanglement changes in course of such simulation is provided.
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"abstract": "With any state of a multipartite quantum system its separability polytope is\nassociated. This is an algebro-topological object (non-trivial only for mixed\nstates) which captures the localisation of entanglement of the state.\nParticular examples of separability polytopes for 3-partite systems are\nexplicitly provided. It turns out that this characterisation of entanglement is\nassociated with simulation of arbitrary unitary operations by 1- and 2-qubit\ngates. A topological description of how entanglement changes in course of such\nsimulation is provided.",
"arxiv_id": "quant-ph/0207058",
"authors": [
"Roman R. Zapatrin"
],
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"quant-ph"
],
"doi": "10.1080/09500340308234539",
"title": "Combinatorial Topology Of Multipartite Entangled States",
"url": "https://arxiv.org/abs/quant-ph/0207058"
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