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 1367-2630
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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 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.
| 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 11:00 |
| Last Modified: | 30 Aug 2011 13:47 |
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