Phys. Rev. A 71, 062313 (2005) [6 pages]Long-range quantum entanglement in noisy cluster statesReceived 9 December 2004; published 14 June 2005 We describe a phase transition for long-range entanglement in a three-dimensional cluster state affected by noise. The partially decohered state is modeled by the thermal state of a short-range translation-invariant Hamiltonian. We find that the temperature at which the entanglement length changes from infinite to finite is nonzero. We give an upper and lower bound to this transition temperature. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.71.062313
DOI:
10.1103/PhysRevA.71.062313
PACS:
03.67.Mn
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