dorsal/arxiv
View SchemaMultiparticle entanglement purification for two-colorable graph states
| Authors | H. Aschauer, W. Dür, H. -J. Briegel |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0405045 |
| URL | https://arxiv.org/abs/quant-ph/0405045 |
| DOI | 10.1103/PhysRevA.71.012319 |
| Journal | Phys. Rev. A 71, 012319 (2005) |
Abstract
We investigate multiparticle entanglement purification schemes which allow one to purify all two colorable graph states, a class of states which includes e.g. cluster states, GHZ states and codewords of various error correction codes. The schemes include both recurrence protocols and hashing protocols. We analyze these schemes under realistic conditions and observe for a generic error model that the threshold value for imperfect local operations depends on the structure of the corresponding interaction graph, but is otherwise independent of the number of parties. The qualitative behavior can be understood from an analytically solvable model which deals only with a restricted class of errors. We compare direct multiparticle entanglement purification protocols with schemes based on bipartite entanglement purification and show that the direct multiparticle entanglement purification is more efficient and the achievable fidelity of the purified states is larger. We also show that the purification protocol allows one to produce private entanglement, an important aspect when using the produced entangled states for secure applications. Finally we discuss an experimental realization of a multiparty purification protocol in optical lattices which is issued to improve the fidelity of cluster states created in such systems.
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"abstract": "We investigate multiparticle entanglement purification schemes which allow\none to purify all two colorable graph states, a class of states which includes\ne.g. cluster states, GHZ states and codewords of various error correction\ncodes. The schemes include both recurrence protocols and hashing protocols. We\nanalyze these schemes under realistic conditions and observe for a generic\nerror model that the threshold value for imperfect local operations depends on\nthe structure of the corresponding interaction graph, but is otherwise\nindependent of the number of parties. The qualitative behavior can be\nunderstood from an analytically solvable model which deals only with a\nrestricted class of errors. We compare direct multiparticle entanglement\npurification protocols with schemes based on bipartite entanglement\npurification and show that the direct multiparticle entanglement purification\nis more efficient and the achievable fidelity of the purified states is larger.\nWe also show that the purification protocol allows one to produce private\nentanglement, an important aspect when using the produced entangled states for\nsecure applications. Finally we discuss an experimental realization of a\nmultiparty purification protocol in optical lattices which is issued to improve\nthe fidelity of cluster states created in such systems.",
"arxiv_id": "quant-ph/0405045",
"authors": [
"H. Aschauer",
"W. D\u00fcr",
"H. -J. Briegel"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.012319",
"journal_ref": "Phys. Rev. A 71, 012319 (2005)",
"title": "Multiparticle entanglement purification for two-colorable graph states",
"url": "https://arxiv.org/abs/quant-ph/0405045"
},
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