Mathematical open problems in projected entangled pair states

Projected entangled pair states (PEPS) are used in practice as an efficient parametrization of the set of ground states of quantum many body systems. The aim of this paper is to present, for a broad mathematical audience, some mathematical questions about PEPS.

Detalles Bibliográficos
Autores: Cirac, J. Ignacio, Garre Rubio, José, Pérez García, David
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/12889
Acceso en línea:https://hdl.handle.net/20.500.14352/12889
Access Level:acceso abierto
Palabra clave:51-73
Quantum many body physics
Tensor network states
Mathematical open problems
Física matemática
Teoría de los quanta
2210.23 Teoría Cuántica
Descripción
Sumario:Projected entangled pair states (PEPS) are used in practice as an efficient parametrization of the set of ground states of quantum many body systems. The aim of this paper is to present, for a broad mathematical audience, some mathematical questions about PEPS.