831 citations · 6k across the 58 of their papers we have counts for
4 papers · 2 filters
Locality at the boundary implies gap in the bulk for 2D PEPS
Michael J. Kastoryano, Angelo Lucia, David Perez-Garcia
Proving that the parent Hamiltonian of a Projected Entangled Pair State (PEPS) is gapped remains an important open problem. We take a step forward in solving this problem by showin…
Continuum limits of Matrix Product States
Gemma De las Cuevas, Norbert Schuch, David Perez-Garcia +1
We determine which translationally invariant matrix product states have a continuum limit, that is, which can be considered as discretized versions of states defined in the continu…
Irreducible forms of Matrix Product States: Theory and Applications
Gemma De las Cuevas, J. Ignacio Cirac, Norbert Schuch +1
The canonical form of Matrix Product States (MPS) and the associated fundamental theorem, which relates different MPS representations of a state, are the theoretical framework unde…
Superadditivity of quantum relative entropy for general states
Angela Capel, Angelo Lucia, David Pérez-García
The property of superadditivity of the quantum relative entropy states that, in a bipartite system , for every density operato…