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• W2890300452 abstract "We apply the projective truncation technique to the tensor renormalization group (TRG) algorithm in order to reduce the computational cost from $O({ensuremath{chi}}^{6})$ to $O({ensuremath{chi}}^{5})$, where $ensuremath{chi}$ is the bond dimension, and propose three kinds of algorithms for demonstration. On the other hand, the technique causes a systematic error due to the incompleteness of a projector composed of isometries and in addition requires iteration steps to determine the isometries. Nevertheless, we find that the accuracy of the free energy for the Ising model on a square lattice is recovered to the level of TRG with a few iteration steps even at the critical temperature for $ensuremath{chi}=32$, 48, and 64." @default.
• W2890300452 created "2018-09-27" @default.
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• W2890300452 date "2019-04-01" @default.
• W2890300452 modified "2023-09-28" @default.
• W2890300452 title "Tensor renormalization group algorithms with a projective truncation method" @default.
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• W2890300452 doi "https://doi.org/10.1103/physrevb.99.155101" @default.
• W2890300452 hasPublicationYear "2019" @default.
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