Long-range quantum entanglement in noisy cluster states

Long-range quantum entanglement in noisy cluster states

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 f...

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Veröffentlicht in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2005-06, Vol.71 (6), Article 062313
Hauptverfasser: Raussendorf, Robert, Bravyi, Sergey, Harrington, Jim
Format: Artikel
Sprache:eng
Schlagworte:
ATOMIC AND MOLECULAR PHYSICS
ENERGY LEVELS
HAMILTONIANS
INFORMATION THEORY
LENGTH
NOISE
PHASE TRANSFORMATIONS
QUANTUM ENTANGLEMENT
THREE-DIMENSIONAL CALCULATIONS
TRANSITION TEMPERATURE
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Beschreibung
Zusammenfassung: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.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.71.062313