RT Journal Article
T1 A canonical form for Projected Entangled Pair States and applications
A1 Sanz, Mikel
A1 Pérez García, David
A1 Cirac, Juan I.
A1 Wolf, Michael
A1 González Guillén, Carlos Eduardo
AB 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.
SN 1367-2630
YR 2009
FD 2009
LK https://hdl.handle.net/20.500.14352/49543
UL https://hdl.handle.net/20.500.14352/49543
LA eng
NO Unión Europea. FP7
DS Docta Complutense
RD 7 abr 2025