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Sanz, Mikel ; Pérez García, David ; Cirac, Juan I. ; Wolf, Michael ; González Guillén, Carlos Eduardo | 2009We show that two different tensors defining the same translational invariant injective Projected Entangled Pair State (PEPS) in a square lattice must be the same up to a trivial gauge freedom. This allows us to characterize the existence of any [...]texto impreso
Cadarso, Andrea ; Sanz, Mikel ; Wolf, Michael M. ; Cirac, J.I. ; Pérez García, David | American Physical Society | 2013-01Based on the theory of Matrix Product States, we give precise statements and complete analytical proofs of the following claim: a large fractionalization in the magnetization or the need of long-range interactions imply large entanglement in the[...]texto impreso
In this paper, Wielandt's inequality for classical channels is extended to quantum channels. That is, an upper bound to the number of times a channel must be applied, so that it maps any density operator to one with full rank, is found. Using th[...]
