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Class of Highly Entangled Many-Body States that can be Efficiently Simulated

Evenbly, G. and Vidal, G. (2014) Class of Highly Entangled Many-Body States that can be Efficiently Simulated. Physical Review Letters, 112 (24). Art. No. 240502. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20130122-093043287

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Abstract

We describe a quantum circuit that produces a highly entangled state of N qubits from which one can efficiently compute expectation values of local observables. This construction yields a variational ansatz for quantum many-body states that can be regarded as a generalization of the multiscale entanglement renormalization ansatz (MERA), which we refer to as the branching MERA. In a lattice system in D dimensions, the scaling of entanglement of a region of size L^D in the branching MERA is not subject to restrictions such as a boundary law L^(D−1), but can be proportional to the size of the region, as we demonstrate numerically.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1210.1895v1arXivDiscussion Paper
http://dx.doi.org/10.1103/PhysRevLett.112.240502 DOIArticle
http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.240502PublisherArticle
Additional Information:© 2014 American Physical Society. Received 24 February 2014; revised manuscript received 3 April 2014; published 18 June 2014. G. E. is supported by the Sherman Fairchild Foundation. This research is supported in part by Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research and Innovation.
Group:Institute for Quantum Information and Matter, IQIM
Funders:
Funding AgencyGrant Number
Sherman Fairchild FoundationUNSPECIFIED
Perimeter Institute for Theoretical PhysicsUNSPECIFIED
Government of Canada Industry Canada UNSPECIFIED
Province of Ontario Ministry of Research and Innovation UNSPECIFIED
Classification Code:PACS: 03.67.Lx, 03.65.Ud, 03.67.Hk
Record Number:CaltechAUTHORS:20130122-093043287
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20130122-093043287
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:36493
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:22 Jan 2013 17:45
Last Modified:31 Jul 2014 21:41

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