Tensor Networks: from Quantum Information to High Energy Physics
Aula Magna "Enric Casasas" Physics Faculty
By: Prof Mari Carmen Bañuls, Max-Planck-Institute of Quantum Optics
Abstract: The term Tensor Network (TN) States designates a number of ansatzes that can efficiently represent certain states of quantum many-body systems. In particular, they can be used to study numerically ground states and thermal equilibrium of local Hamiltonians, and, to some extent, real time evolution. Quantum information theory explains why they are suitable for physically relevant states, and why there are limitations connected to the simulation algorithms.
While originally introduced in the context of condensed matter physics, where they have become a state-of-the-art technique for strongly correlated one-dimensional systems, in the last years it has been shown that TNS are also suitable to study lattice gauge theories and other quantum field theory problems.
We can say that TN methods constitute quantum inspired algorithms for classical simulations. At the same time, they can be decisive tools to design and verify the near term quantum simulators.
In this talk I will present the fundamental TN ideas and algorithms, and the progress in their application to some quantum field theory problems.