2004/07/31 by Robert Raussendorf, Sergey Bravyi, Jim Harrington · 2 citations
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1103/physreva.71.062313
published as Phys. Rev. A 71, 062313 (2005) · 7 pages
arxiv created 2005/06/17 · arxiv updated 2009/12/01
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.