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Improving the efficiency of variational tensor network algorithms
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DOI：10.1103/PhysRevB.89.245118.png)
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We present several results relating to the contraction of generic tensor networks and discuss their application to the simulation of quantum many-body systems using variational approaches based upon tensor network states. Given a closed tensor network T, we prove that if the environment of a single tensor from the network can be evaluated with computational cost k, then the environment of any other tensor from T can be evaluated with identical cost k. Moreover, we describe how the set of all single tensor environments from T can be simultaneously evaluated with fixed cost 3 k. The usefulness of these results, which are applicable to a variety of tensor network methods, is demonstrated for the optimization of a multiscale entanglement renormalization Ansatz for the ground state of a one-dimensional quantum system, where they are shown to substantially reduce the computation time.
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3.7
论文数:
15.4W
被引数:
41.0W
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