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Matrix product decomposition and classical simulation of quantum dynamics in the presence of a symmetry

S. Singh·H. -Q. Zhou·G. Vidal
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Abstract

We propose a refined matrix product state representation for many-body quantum states that are invariant under SU(2) transformations, and indicate how to extend the time-evolving block decimation (TEBD) algorithm in order to simulate time evolution in an SU(2) invariant system. The resulting algorithm is tested in a critical quantum spin chain and shown to be significantly more efficient than the standard TEBD.

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S. Singh, H. -Q. Zhou, G. Vidal. 2007-01-18. Matrix product decomposition and classical simulation of quantum dynamics in the presence of a symmetry. https://doi.org/10.1088/1367-2630%2F12%2F3%2F033029

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