Symmetric Tensor Networks

Abstract

As well known, symmetries play a fundamental role in physics: their mathematical description has been used heavily in many branches of physics to understand the main properties of the systems of interest, simplify their description, and improve the numerical performances of numerical codes employed to describe them. The most straightforward scenario in quantum mechanism – familiar to any physicist – where symmetries can be exploited, is that of a system described by a Hamiltonian invariant according to a given transformation g.