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Tensor network states are powerful variational ans\"atze for many-body ground states of quantum lattice models.
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Exploitation of space symmetries (e.g. translation invariance and scale invariance) can significantly reduce the computational cost of simulations from O ( L ) O(L) to O ( log L ) O(\log L) or even to a constant (independent of L L ), allowing to reach the thermodynamic limit
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L. Cincio, G. Vidal, in preparation
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A. J. Ferris, G. Vidal, e-print arXiv:1201.3975 (2012)
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H. Katsura, I. Maruyama, J. Phys. A: Math. Theor. 43
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