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Título:
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A canonical form for Projected Entangled Pair States and applications
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Autores:
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Sanz, Mikel ;
Pérez García, David ;
Cirac, Juan I. ;
Wolf, Michael ;
González Guillén, Carlos Eduardo
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Tipo de documento:
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texto impreso
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Fecha de publicación:
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2009
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física: Física matemática
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Materia = Ciencias: Física: Teoría de los quanta
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Tipo = Artículo
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Resumen:
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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 local or spatial symmetry in the state. As an application of these results we prove that a SU(2) invariant PEPS with half-integer spin cannot be injective, which can be seen as a Lieb-Shultz-Mattis theorem in this context. We also give the natural generalization for U(1) symmetry in the spirit of Oshikawa-Yamanaka-Affleck, and show that a PEPS with Wilson loops cannot be injective.
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En línea:
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https://eprints.ucm.es/id/eprint/12163/1/0908.1674v1.pdf
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