Multiparticle entanglement purification for two-colorable graph states

Journal Article · Sat Jan 01 04:00:00 EST 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.71.012319· OSTI ID:20650201

Aschauer, H ^[1]; Duer, W ^[2]; Briegel, H -J ^[1]

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1. Sektion Physik, Ludwig-Maximilians-Universitaet Muenchen, Theresienstr. 37, D-80333 Munich (Germany)
2. Institut fuer Theoretische Physik, Universitaet Innsbruck, A-6020 Innsbruck (Austria)

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, Greenberger-Horne-Zeilinger states, and code words 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.

• OSTI ID: 20650201
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 71; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
COMPARATIVE EVALUATIONS
CORRECTIONS
CORRELATIONS
ENERGY LEVELS
ERRORS
QUANTUM MECHANICS
QUANTUM NUMBERS
SECRECY PROTECTION