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Brandao Fischer, Bruno ; Cubitt, Toby S. ; Lucia, Ángelo ; Michalakis, Spyridon ; Pérez García, David | American Institute of Physics | 2015We prove an area law with a logarithmic correction for the mutual information for fixed points of local dissipative quantum system satisfying a rapid mixing condition, under either of the following assumptions: the fixed point is pure or the sys[...]texto impreso
Lucia, Ángelo ; Cubitt, Toby S. ; Michalakis, Spyridon ; Pérez García, David | American Physical Society | 2014-09-27The physics of many materials is modeled by quantum many-body systems with local interactions. If the model of the system is sensitive to noise from the environment, or small perturbations to the original interactions, it will not model properly[...]texto impreso
Cirac, J. Ignacio ; Michalakis, Spyridon ; Pérez García, David ; Schuch, Norbert | American Physical Society | 2013-09-06We analyze a criterion which guarantees that the ground states of certain many-body systems are stable under perturbations. Specifically, we consider PEPS, which are believed to provide an efficient description, based on local tensors, for the l[...]texto impreso
Cubitt, Toby S. ; Lucia, Ángelo ; Michalakis, Spyridon ; Pérez García, David | Springer | 2015-08-29Open quantum systems weakly coupled to the environment are modeled by completely positive, trace preserving semigroups of linear maps. The generators of such evolutions are called Lindbladians. In the setting of quantum many-body systems on a la[...]
