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Matrix product state representations

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Pérez García, David and Verstraete, F. and Wolf, M.M. and Cirac, J.I. (2007) Matrix product state representations. Quantum Information & Computation, 7 (5). pp. 401-430. ISSN 1533-7146

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Official URL: http://arxiv.org/abs/quant-ph/0608197



Abstract

This work gives a detailed investigation of matrix product state (TOPS) representations for pure multipartite quantum states. We determine the freedom in representations with and without translation symmetry, derive respective canonical forms and provide efficient methods for obtaining them. Results on frustration free Hamiltonians and the generation of MPS are extended, and the use of the MPS-representation for classical simulations of quantum systems is discussed.


Item Type:Article
Subjects:Sciences > Physics > Quantum theory
ID Code:17863
Deposited On:23 Jan 2013 11:18
Last Modified:03 Dec 2014 12:02

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