Numerical optimization of tensor networks

A number of recent results in the field of quantum information science
have lead to new and fresh ideas
to attack old, long-standing problems in condensed matter physics. The
study of quantum correlations
(or entanglement) has motivated the development of a host of new
promising numerical methods to
understand quantum many-body systems based on tensor networks. The
overarching aim of this multidisciplinary
project is to establish a collaboration between three groups at JGU in
order to develop new
efficient strategies to manipulate tensor network states. The project
will focus on applying new advanced
optimization algorithms to tensor network coefficients, which have never
been tried before in this context
and which are expected to bring important computational speedups. We
expect that this will lead to an
important overall improvement of tensor network methods.