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We 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
Pérez García, David ; Wolf, M.M. ; Sanz, M. ; Verstraete, F. ; Cirac, J.I. | The American Physical Society | 2008-04-25We show that the existence of string order in a given quantum state is intimately related to the presence of a local symmetry by proving that both concepts are equivalent within the framework of finitely correlated states. Once this connection i[...]
