Sanz, Mikel and Pérez García, David and Cirac, Juan I. and Wolf, Michael and González Guillén, Carlos Eduardo (2009) A canonical form for Projected Entangled Pair States and applications. New Journal of Physics . ISSN 13672630

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Official URL: http://arxiv.org/abs/0908.1674
Abstract
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 halfinteger spin cannot be injective, which can be seen as a LiebShultzMattis theorem in this context. We also give the natural generalization for U(1) symmetry in the spirit of OshikawaYamanakaAffleck, and show that a PEPS with Wilson loops cannot be injective.
Item Type:  Article 

Uncontrolled Keywords:  Teoría cuántica, Física matemática, Quantum Physics, Mathematical Physics 
Subjects:  Sciences > Physics > Mathematical physics Sciences > Physics > Quantum theory 
ID Code:  12163 
Deposited On:  03 Feb 2011 10:00 
Last Modified:  06 Feb 2014 09:18 
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