PIRSA:10050093

Description of many-body systems using MPS, PEPS, and other families of states

Cirac, I. (2010). Description of many-body systems using MPS, PEPS, and other families of states. Perimeter Institute. https://pirsa.org/10050093

Cirac, Ignacio. Description of many-body systems using MPS, PEPS, and other families of states. Perimeter Institute, May. 25, 2010, https://pirsa.org/10050093 

          @misc{ pirsa_10050093,
            doi = {10.48660/10050093},
            url = {https://pirsa.org/10050093},
            author = {Cirac, Ignacio},
            keywords = {},
            language = {en},
            title = {Description of many-body systems using MPS, PEPS, and other families of states},
            publisher = {Perimeter Institute},
            year = {2010},
            month = {may},
            note = {PIRSA:10050093 see, \url{https://pirsa.org}}
          }

Ignacio Cirac Max Planck Institute for Gravitational Physics - Albert Einstein Institute (AEI)

DOI 10.48660/10050093
Collection
Talk Type Conference

Abstract

Matrix Product States (MPS) and their higher dimensional extensions, the Projected Entangled-Pair States (PEPS) can efficiently describe the ground and thermal states of interacting systems with short-range interactions. We will describe some mathematical properties of this families of states, as well as possible extensions. Work in collaboration with N. Schuch, D. Perez-Garcia, M. Sanz, M. Wolf, F. Verstraete and G. Sierra.