54 citations · 60 across the 2 of their papers we have counts for
4 papers
Locality estimes for complex time evolution in 1D
David Pérez-García, Antonio Pérez-Hernández
It is a generalized belief that there are no thermal phase transitions in short range 1D quantum systems. However, the only known case for which this is rigorously proven is for th…
Mathematical open problems in Projected Entangled Pair States
J. Ignacio Cirac, José Garre-Rubio, David Pérez-García
Projected Entangled Pair States (PEPS) are used in practice as an efficient parametrization of the set of ground states of quantum many body systems. The aim of this paper is to pr…
Localization with random time-periodic quantum circuits
Christoph Sünderhauf, David Pérez-García, David A. Huse +2
We consider a random time evolution operator composed of a circuit of random unitaries coupling even and odd neighboring spins on a chain in turn. In spirit of Floquet evolution, t…
Sequentially generated states for the study of two dimensional systems
Mari-Carmen Bañuls, David Pérez-García, Michael M. Wolf +2
Matrix Product States can be defined as the family of quantum states that can be sequentially generated in a one-dimensional system. We introduce a new family of states which exten…