English

Long-range quantum entanglement in noisy cluster states

Quantum Physics 2007-07-24 v2

Abstract

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 suitable 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.

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Cite

@article{arxiv.quant-ph/0407255,
  title  = {Long-range quantum entanglement in noisy cluster states},
  author = {Robert Raussendorf and Sergey Bravyi and Jim Harrington},
  journal= {arXiv preprint arXiv:quant-ph/0407255},
  year   = {2007}
}

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7 pages