Locally accurate MPS approximations for ground states of one-dimensional gapped local Hamiltonians

A key feature of ground states of gapped local 1D Hamiltonians is their relatively low entanglement --- they are well approximated by matrix product states (MPS) with bond dimension scaling polynomially in the length $N$ of the chain, while general states require a bond dimension scaling exponential...

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Bibliographic Details
Main Authors: Alexander M. Dalzell, Fernando G. S. L. Brandão
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2019-09-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2019-09-23-187/pdf/