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Entanglement, fractional magnetization and long-range interactions

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arxiv 1209.3898 v2 pith:7IV2OJYL submitted 2012-09-18 quant-ph cond-mat.str-elmath-phmath.MP

Andrea Cadarso , Mikel Sanz , Michael M. Wolf , J. Ignacio Cirac , David Perez-Garcia This is my paper
classification quant-phcond-mat.str-elmath-phmath.MP
keywords entanglementinteractionslargelong-rangemagnetizationanalyticalchainclaim
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Based on the theory of Matrix Product States, we give precise statements and complete analytical proofs of the following claim: a large fractionalization in the magnetization or the need of long-range interactions imply large entanglement in the state of a quantum spin chain.

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Cited by 1 Pith paper

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  1. Les Houches Lecture Notes on Tensor Networks

    cond-mat.str-el 2025-12 unverdicted novelty 2.0 of 10

    A well-organized five-lecture review of tensor networks (MPS/PEPS/MPO) covering algorithms, phase classification, string-nets, strange correlators, and dualities; it contains no new research results.

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