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Phys. Rev. A 65, 052327 (2002) [4 pages]

Robustness of multiparty entanglement

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Christoph Simon1,* and Julia Kempe2,3,†
1Centre for Quantum Computation, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
2Departments of Mathematics and Chemistry, University of California, Berkeley, California 94270
3CNRS-LRI, UMR 8623, Université de Paris-Sud, 91405 Orsay, France

Received 20 September 2001; published 9 May 2002

We study the robustness of multiparty entanglement under local decoherence, modeled by partially depolarizing channels acting independently on each subsystem. Surprisingly, we find that the robustness of (GHZ) entanglement increases with the number of qubits. An n-qubit Greenberger-Horne-Zeilinger (GHZ) state can stand more than 55% local depolarization in the limit n. GHZ states are more robust than other generic states of three and four qubits. We also study spin-squeezed states in the limit n and find that they too can stand considerable local depolarization.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.65.052327
DOI:
10.1103/PhysRevA.65.052327
PACS:
03.65.Yz, 03.65.Ud

*Email address: christoph.simon@qubit.org

Email address: kempe@math.berkeley.edu