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arxiv: 0802.3231 · v1 · submitted 2008-02-21 · ✦ hep-th · cond-mat.mes-hall

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Topological Entanglement Entropy in Chern-Simons Theories and Quantum Hall Fluids

Shiying Dong , Eduardo Fradkin , Robert G. Leigh , Sean Nowling
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classification ✦ hep-th cond-mat.mes-hall
keywords entanglemententropychern-simonsfluidshallquantumtheoriestopological
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We compute directly the entanglement entropy of spatial regions in Chern-Simons gauge theories in 2+1 dimensions using surgery. We use these results to determine the universal topological piece of the entanglement entropy for Abelian and non-Abelian quantum Hall fluids.

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

  1. Magic and Non-Clifford Gates in Topological Quantum Field Theory

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    Non-Clifford gates including Ising, Toffoli, and T arise as exact path integrals in Chern-Simons and Dijkgraaf-Witten topological quantum field theories.