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Matrix product state approximations for infinite systems

Published 15 Nov 2017 in cond-mat.str-el and quant-ph | (1711.06559v2)

Abstract: 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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