Matrix product states with long-range localizable entanglement

We derive a criterion to determine when a translationally invariant matrix product state (MPS) has long-range localizable entanglement, where that quantity remains finite in the thermodynamic limit. We give examples fulfilling this criterion and eventually use it to obtain all such MPS with bond dim...

ver descrição completa

Detalhes bibliográficos
Autores: Wahl, T. B., Pérez García, David, Cirac, Juan I.
Formato: artículo
Fecha de publicación:2012
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/42466
Acesso em linha:https://hdl.handle.net/20.500.14352/42466
Access Level:acceso abierto
Palavra-chave:51-73
Local operations
Spin chains
Field
Física matemática
Descrição
Resumo:We derive a criterion to determine when a translationally invariant matrix product state (MPS) has long-range localizable entanglement, where that quantity remains finite in the thermodynamic limit. We give examples fulfilling this criterion and eventually use it to obtain all such MPS with bond dimension 2 and 3.