Preparing topological projected entangled pair states on a quantum computer
Name
Schwarz-2013-Preparing topological.pdf
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296.95 KB
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Author(s)
Schwarz, Martin
Verstraete, Frank
Perez-Garcia, David
Cubitt, Toby S.
Temme, Paul Kristan
Date Issued
September 2013
Journal
Physical Review A
Publisher
American Physical Society
Citation
Schwarz, Martin, Kristan Temme, Frank Verstraete, David Perez-Garcia, and Toby S. Cubitt. “Preparing topological projected entangled pair states on a quantum computer.” Physical Review A 88, no. 3 (September 2013). © 2013 American Physical Society
Version
Final published version
Abstract
Simulating exotic phases of matter that are not amenable to classical techniques is one of the most important potential applications of quantum information processing. We present an efficient algorithm for preparing a large class of topological quantum states, the G-injective projected entangled pair states (PEPS), on a quantum computer. Important examples include the resonant valence bond states, conjectured to be topological spin liquids. The runtime of the algorithm scales polynomially with the condition number of the PEPS projectors and inverse polynomially in the spectral gap of the PEPS parent Hamiltonian.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevA.88.032321
