40 citations · 175 across the 10 of their papers we have counts for
7 papers · 1 filter
Matrix product operator algebras I: representations of weak Hopf algebras and projected entangled pair states
Andras Molnar, Alberto Ruiz de Alarcón, José Garre-Rubio +3
Matrix Product Operators (MPOs) are tensor networks representing operators acting on 1D systems. They model a wide variety of situations, including communication channels with memo…
Symmetries and local transformations of translationally invariant Matrix Product States
Martin Hebenstreit, David Sauerwein, Andras Molnar +2
We determine the local symmetries and local transformation properties of translationally invariant matrix product states (MPS). We focus on physical dimension and bond dimens…
Locality of temperature and correlations in the presence of non-zero-temperature phase transitions
Senaida Hernández Santana, Andras Molnar, Christian Gogolin +2
While temperature is well understood as an intensive quantity in standard thermodynamics, it is less clear whether the same holds in the presence of strong correlations, especially…
Efficient description of many-body systems with Matrix Product Density Operators
Jiri Guth Jarkovsky, Andras Molnar, Norbert Schuch +1
Matrix Product States form the basis of powerful simulation methods for ground state problems in one dimension. Their power stems from the fact that they faithfully approximate sta…
Inaccessible entanglement in symmetry protected topological phases
Caroline de Groot, David T. Stephen, Andras Molnar +1
We study the entanglement structure of symmetry-protected topological (SPT) phases from an operational point of view by considering entanglement distillation in the presence of sym…
Matrix Product States: Entanglement, symmetries, and state transformations
David Sauerwein, Andras Molnar, J. Ignacio Cirac +1
We analyze entanglement in the family of translationally-invariant matrix product states (MPS). We give a criterion to determine when two states can be transformed into each other…
Projected Entangled Pair States: Fundamental analytical and numerical limitations
G. Scarpa, A. Molnar, Y. Ge +4
Matrix Product States (MPS) and Projected Entangled Pair States (PEPS) are powerful analytical and numerical tools to assess quantum many-body systems in one and higher dimensions,…