The successes and limitations of statistical sampling for a sequence of models studied in the
context of lattice QCD are discussed and the need for new methods to deal with finite …

We introduce a framework for characterizing Matrix Product States (MPS) and Projected
Entangled Pair States (PEPS) in terms of symmetries. This allows us to understand how …

In the last years, a number of theoretical and numerical tools have been developed by a
thriving community formed by people coming from different backgrounds—condensed …

We present a compendium of numerical simulation techniques, based on tensor network
methods, aiming to address problems of many-body quantum mechanics on a classical …

In bilayers of semiconducting transition metal dichalcogenides, the twist angle between
layers can be used to introduce a highly regular periodic potential modulation on a length …

We present two different methods for modeling non-Markovian quantum light-matter
interactions in waveguide QED systems, using matrix product states (MPSs) and a space …

In this work we study the encoding of smooth, differentiable multivariate functions in
quantum registers, using quantum computers or tensor-network representations. We show …

A bstract We make a detailed analysis of the spontaneous Z 2-symmetry breaking in the two
dimensional real ϕ 4 theory with the tensor renormalization group approach, which allows …

This paper presents a novel pre-trained language models (PLM) compression approach
based on the matrix product operator (short as MPO) from quantum many-body physics. It …

We show how continuous matrix product states of quantum fields can be described in terms
of the dissipative nonequilibrium dynamics of a lower-dimensional auxiliary boundary field …