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The following article is Open access

Matrix product operator representations

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Published 26 February 2010 Published under licence by IOP Publishing Ltd
, , Focus on Quantum Information and Many-Body Theory Citation B Pirvu et al 2010 New J. Phys. 12 025012 DOI 10.1088/1367-2630/12/2/025012

1367-2630/12/2/025012

Abstract

We show how to construct relevant families of matrix product operators (MPOs) in one and higher dimensions. These form the building blocks for the numerical simulation methods based on matrix product states and projected entangled pair states. In particular, we construct translationally invariant MPOs suitable for time evolution, and show how such descriptions are possible for Hamiltonians with long-range interactions. We show how these tools can be exploited for constructing new algorithms for simulating quantum spin systems.

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10.1088/1367-2630/12/2/025012