Long-range quantum entanglement in noisy cluster states
Robert Raussendorf, Sergey Bravyi, Jim Harrington
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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