Boundedness of entanglement entropy and split property of quantum spin chains

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Abstract

We show that boundedness of entanglement entropy for pure states of bipartite quantum spin systems implies split property of subsystems. As a corollary, in one-dimensional quantum spin chains, we show that the split property with respect to left and right semi-infinite subsystems is valid for the translationally invariant pure ground states with spectral gap.

Original languageEnglish
Article number1350017
JournalReviews in Mathematical Physics
Volume25
Issue number9
DOIs
Publication statusPublished - Oct 1 2013

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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