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Projected entangled states: Properties and applications

Verstraete, F. and Wolf, M. and Pérez-García, D. and Cirac, J. I. (2006) Projected entangled states: Properties and applications. International Journal of Modern Physics B, 20 (30-31). pp. 5142-5153. ISSN 0217-9792. http://resolver.caltech.edu/CaltechAUTHORS:20110615-093402842

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Abstract

We present a new characterization of quantum states, what we call Projected Entangled-Pair States (PEPS). This characterization is based on constructing pairs of maximally entangled states in a Hilbert space of dimension D^2, and then projecting those states in subspaces of dimension d. In one dimension, one recovers the familiar matrix product states, whereas in higher dimensions this procedure gives rise to other interesting states. We have used this new parametrization to construct numerical algorithms to simulate the ground state properties and dynamics of certain quantum-many body systems in two dimensions.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1142/S021797920603620XDOIUNSPECIFIED
http://www.worldscinet.com/ijmpb/20/2030n31/S021797920603620X.htmlPublisherUNSPECIFIED
Additional Information:© 2006 World Scientific Publishing Company.
Subject Keywords:quantum information; DMRG; entangled states
Record Number:CaltechAUTHORS:20110615-093402842
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20110615-093402842
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:24012
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:16 Jun 2011 15:59
Last Modified:23 Aug 2016 10:02

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