Mari Carmen Bañuls

TL;DR: In this article, tensor network methods are applied to the study of lattice gauge theories together with some results on Abelian and non-Abelian lattice-gauge theories.

TL;DR: This work presents a new variational method, based on the matrix product operator (MPO) ansatz, for finding the steady state of dissipative quantum chains governed by master equations of the Lindblad form, allowing for a faster convergence when the steadyState is a MPO with small bond dimension.

TL;DR: The connection between the correlation length of the PEPS and the accuracy of its approximate contraction is quantified, and how purifications can be used in the latter is discussed, and algorithmic improvements for the update of the tensor are presented.

TL;DR: A review of the status and perspectives of these new avenues for the exploration of lattice gauge theories can be found in this article, where a number of possible alternatives have been put forward, based on quantum information ideas, which could potentially open the access to areas of research that have so far eluded more standard methods.

TL;DR: These calculations allow us to locate phase transitions in the mass-chemical potential plane with great precision and provide a concrete example of tensor networks overcoming the sign problem in a lattice gauge theory calculation.