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Quantum Simulation

Matrix product state approximations for infinite systems

arXiv
Authors: Norbert Schuch, Frank Verstraete

Year

2017

Paper ID

25067

Status

Preprint

Abstract Read

~2 min

Abstract Words

45

Citations

N/A

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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  • 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...

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