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Matrix product state approximations for infinite systems

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arxiv 1711.06559 v2 pith:RTJANNN4 submitted 2017-11-15 cond-mat.str-el quant-ph

Norbert Schuch , Frank Verstraete This is my paper · ORCID
classification cond-mat.str-elquant-ph
keywords approximatedepsiloninfinitelocalmatrixproductstatesaccuracy
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We prove that ground states of gapped local Hamiltonians on an infinite spin chain can be efficiently approximated by matrix product states with a bond dimension which scales as D~(L-1)/epsilon, where any local quantity on L consecutive spins is approximated to accuracy epsilon.

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  1. Pure gapped ground states of spin chains are short-range entangled

    math-ph 2025-11 conditional novelty 8.0 of 10

    In one-dimensional finite-range spin chains, every pure gapped ground state is short-range entangled: an image of a product state under a locally generated automorphism with exponentially decaying tails.

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