146 citations · 278 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…
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 ($…