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Matrix product states represent ground states faithfully

Verstraete, F. and Cirac, J. I. (2006) Matrix product states represent ground states faithfully. Physical Review B, 73 (9). Art. No. 094423. ISSN 1098-0121. doi:10.1103/PhysRevB.73.094423.

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We quantify how well matrix product states approximate exact ground states of one-dimensional quantum spin systems as a function of the number of spins and the entropy of blocks of spins. We also investigate the convex set of local reduced density operators of translational invariant systems. The results give a theoretical justification for the high accuracy of renormalization group algorithms and justifies their use even in the case of critical systems.

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Additional Information:©2006 The American Physical Society (Received 1 June 2005; published 20 March 2006) We thank O. Syljuåsen for sending us his Monte Carlo data about the 2D XXZ model, G. Vidal for interesting discussions, and T. Osborne for pointing out Ref. 27. Work supported by European projects, der Bayerischen Staatsregierung and the Gordon and Betty Moore Foundation.
Subject Keywords:spin systems; ground states; entropy; renormalisation; quantum entanglement
Issue or Number:9
Record Number:CaltechAUTHORS:VERprb06
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2716
Deposited By: Archive Administrator
Deposited On:23 Apr 2006
Last Modified:08 Nov 2021 19:50

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