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Long-range quantum entanglement in noisy cluster states

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arxiv quant-ph/0407255 v2 pith:OGPAK436 submitted 2004-07-29 quant-ph

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keywords entanglementstateclusterlong-rangetemperaturetransitionaffectedbound
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Measurement-based simulation of lattice gauge theory dynamics with adaptive quantum circuits on a trapped-ion processor

    quant-ph 2026-08 conditional novelty 7.0 of 10

    A trapped-ion experiment demonstrates adaptive measurement-based simulation of real-time Z2 lattice gauge theory dynamics, with one-form-symmetry syndromes used for postselection.

  2. Hierarchy of mixed symmetry protected topological states in extended cluster states under subsystem decoherence

    quant-ph 2026-06 unverdicted novelty 7.0 of 10

    Subsystem decoherence on extended cluster states generates a hierarchy of mixed SPT phases ending in Z2 SWSSB with glassy GHZ entanglement.

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