|
| related topics |
| {state, states, entangled} |
| {let, theorem, proof} |
| {qubit, qubits, gate} |
| {theory, mechanics, state} |
| {entanglement, phys, rev} |
| {observables, space, algebra} |
| {group, space, representation} |
|
Combinatorial Topology Of Multipartite Entangled States
Roman R. Zapatrin
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0207058
- categories:
- quant-ph
- comments:
- 14 pages, LaTeX2e. Slightly revised version of the poster resented on
the International Conference on Quantum Information, Oviedo, Spain, 13-18
July, 2002. To appear in the special issue of Journal of Modern Optics
- arxiv_id:
- quant-ph/0207058
- created:
- 2002-07-10
- updated:
- 2002-10-22
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