Entanglement renormalization, quantum error correction, and bulk causality

Abstract Entanglement renormalization can be viewed as an encoding circuit for a family of approximate quantum error correcting codes. The logical information becomes progres-sively more well-protected against erasure errors at larger length scales. In particular, an approximate variant of holograph...

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Main Authors:	Isaac H. Kim, Michael J. Kastoryano
Format:	Article
Language:	English
Published:	Springer 2017-04-01
Series:	Journal of High Energy Physics
Subjects:	Models of Quantum Gravity Renormalization Group
Online Access:	http://link.springer.com/article/10.1007/JHEP04(2017)040

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spelling	doaj-art-fdc05d099ed54884b1129407229e77ba2018-08-15T21:31:35ZengSpringerJournal of High Energy Physics1029-84792017-04-012017411910.1007/JHEP04(2017)040Entanglement renormalization, quantum error correction, and bulk causalityIsaac H. Kim0Michael J. Kastoryano1IBM T.J. Watson Research CenterNBIA, Niels Bohr Institute, University of CopenhagenAbstract Entanglement renormalization can be viewed as an encoding circuit for a family of approximate quantum error correcting codes. The logical information becomes progres-sively more well-protected against erasure errors at larger length scales. In particular, an approximate variant of holographic quantum error correcting code emerges at low energy for critical systems. This implies that two operators that are largely separated in scales behave as if they are spatially separated operators, in the sense that they obey a Lieb-Robinson type locality bound under a time evolution generated by a local Hamiltonian.http://link.springer.com/article/10.1007/JHEP04(2017)040Models of Quantum GravityRenormalization Group
institution	Open Data Bank
collection	Open Access Journals
building	Directory of Open Access Journals
language	English
format	Article
author	Isaac H. Kim Michael J. Kastoryano
spellingShingle	Isaac H. Kim Michael J. Kastoryano Entanglement renormalization, quantum error correction, and bulk causality Journal of High Energy Physics Models of Quantum Gravity Renormalization Group
author_facet	Isaac H. Kim Michael J. Kastoryano
author_sort	Isaac H. Kim
title	Entanglement renormalization, quantum error correction, and bulk causality
title_short	Entanglement renormalization, quantum error correction, and bulk causality
title_full	Entanglement renormalization, quantum error correction, and bulk causality
title_fullStr	Entanglement renormalization, quantum error correction, and bulk causality
title_full_unstemmed	Entanglement renormalization, quantum error correction, and bulk causality
title_sort	entanglement renormalization, quantum error correction, and bulk causality
publisher	Springer
series	Journal of High Energy Physics
issn	1029-8479
publishDate	2017-04-01
description	Abstract Entanglement renormalization can be viewed as an encoding circuit for a family of approximate quantum error correcting codes. The logical information becomes progres-sively more well-protected against erasure errors at larger length scales. In particular, an approximate variant of holographic quantum error correcting code emerges at low energy for critical systems. This implies that two operators that are largely separated in scales behave as if they are spatially separated operators, in the sense that they obey a Lieb-Robinson type locality bound under a time evolution generated by a local Hamiltonian.
topic	Models of Quantum Gravity Renormalization Group
url	http://link.springer.com/article/10.1007/JHEP04(2017)040
_version_	1612705776515678208

Entanglement renormalization, quantum error correction, and bulk causality

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