146 citations · 278 across the 6 of their papers we have counts for
6 papers
MPS Stability and the Intersection Property
José Garre-Rubio, Alex Turzillo, András Molnár
We identify a property of the local tensors of matrix product states (MPS) that guarantees that their parent Hamiltonians satisfy the intersection property. The intersection proper…
Internal structure of gauge-invariant Projected Entangled Pair States
David Blanik, José Garre-Rubio, András Molnár +1
Projected entangled pair states (PEPS) are very useful in the description of strongly correlated systems, partly because they allow encoding symmetries, either global or local (gau…
Matrix Product Operator Algebras II: Phases of Matter for 1D Mixed States
Alberto Ruiz-de-Alarcón, José Garre-Rubio, András Molnár +1
The classification of topological phases of matter is fundamental to understand and characterize the properties of quantum materials. In this paper we study phases of matter in one…
Classifying phases protected by matrix product operator symmetries using matrix product states
José Garre-Rubio, Laurens Lootens, András Molnár
We classify the different ways in which matrix product states (MPSs) can stay invariant under the action of matrix product operator (MPO) symmetries. This is achieved through a loc…
Rapid adiabatic preparation of injective PEPS and Gibbs states
Yimin Ge, András Molnár, J. Ignacio Cirac
We propose a quantum algorithm for many-body state preparation. It is especially suited for injective PEPS and thermal states of local commuting Hamiltonians on a lattice. We show…
Approximating Gibbs states of local Hamiltonians efficiently with PEPS
András Molnár, Norbert Schuch, Frank Verstraete +1
We analyze the error of approximating Gibbs states of local quantum spin Hamiltonians on lattices with Projected Entangled Pair States (PEPS) as a function of the bond dimension ($…