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De las Cuevas, G. ; Cubitt, J.L. ; Wolf, M.M. ; Pérez García, David | American Institute of Physics Inc. | 2016We show a fundamental limitation in the description of quantum many-body mixed states with tensor networks in purification form. Namely, we show that there exist mixed states which can be represented as a translationally invariant (TI) matrix pr[...]texto impreso
De las Cuevas, G. ; Dürt, W. ; Van den Nest, M. ; Martín-Delgado Alcántara, Miguel Ángel | IOP Publishing | 2011-09-09We give efficient quantum algorithms to estimate the partition function of (i) the six-vertex model on a two-dimensional (2D) square lattice, (ii) the Ising model with magnetic fields on a planar graph, (iii) the Potts model on a quasi-2D square[...]
