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Intertwiner Entanglement Excitation and Holonomy Operator

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arxiv 2204.03093 v1 pith:FGJG6IVL submitted 2022-04-06 gr-qc

classification gr-qc
keywords entanglementquantumgeometryholonomyintertwineroperatorbipartitedynamics
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In the loop quantum gravity framework, spin network states carry entanglement between quantum excitations of the geometry at different space points. This intertwiner entanglement is gauge-invariant and comes from quantum superposition of spins and intertwiners. Bipartite entanglement can be interpreted as a witness of distance, while multipartite entanglement reflects the curvature of the quantum geometry. The present work investigates how the bipartite and multipartite intertwiner entanglement changes under the action of the holonomy operator, which is the basic building block of loop quantum gravity's dynamics. We reveal the relation between entanglement excitation and the dispersion of the holonomy operator. This leads to a new interesting connection between bulk geometry and boundary observables via the dynamics of entanglement.

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Cited by 1 Pith paper

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

  1. Bell states for fermions in loop quantum gravity

    gr-qc 2025-08 unverdicted novelty 5.0 of 10

    In loop quantum gravity, a surface-normal fermion spin observable can be used to construct CHSH-type correlations that are violated by fermion states coupled to quantum geometry.

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