Preparing projected entangled pair states on a quantum computer

We present a quantum algorithm to prepare injective projected entangled pair states (PEPS) on a quantum computer, a class of open tensor networks representing quantum states. The run time of our algorithm scales polynomially with the inverse of the minimum condition number of the PEPS projectors and...

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Bibliographic Details
Published in:Physical review letters 2012-03, Vol.108 (11), p.110502-110502, Article 110502
Main Authors: Schwarz, Martin, Temme, Kristan, Verstraete, Frank
Format: Article
Language:English
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Summary:We present a quantum algorithm to prepare injective projected entangled pair states (PEPS) on a quantum computer, a class of open tensor networks representing quantum states. The run time of our algorithm scales polynomially with the inverse of the minimum condition number of the PEPS projectors and, essentially, with the inverse of the spectral gap of the PEPS's parent Hamiltonian.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.108.110502