Tensor Network and Quantum Information Theory: Applications in Condensed Matter and High Energy Physics

Abstract:

Certain Quantum Many-body states can be efficiently described in terms of tensor networks. Those include Matrix Product States (MPS), Projected Entangled-Pair Etates (PEPS), or the Multi-scale Entanglement Renormalization Ansatz (MERA). They play an important role in quantum computing, error correction, or the description of topological order in condensed matter physics, and are widely used in computational physics. In this talk I will briefly review one of the basic results in the theory of tensor networks and explain some of their applications to high-energy physics models.