Matrix product state representations

This work gives a detailed investigation of matrix product state (TOPS) representations for pure multipartite quantum states. We determine the freedom in representations with and without translation symmetry, derive respective canonical forms and provide efficient methods for obtaining them. Results...

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Detalles Bibliográficos
Autores: Pérez García, David, Verstraete, F., Wolf, M.M., Cirac, J.I.
Tipo de recurso: artículo
Fecha de publicación:2007
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/50320
Acceso en línea:https://hdl.handle.net/20.500.14352/50320
Access Level:acceso abierto
Palabra clave:530.145
Teoría de los quanta
2210.23 Teoría Cuántica
Descripción
Sumario:This work gives a detailed investigation of matrix product state (TOPS) representations for pure multipartite quantum states. We determine the freedom in representations with and without translation symmetry, derive respective canonical forms and provide efficient methods for obtaining them. Results on frustration free Hamiltonians and the generation of MPS are extended, and the use of the MPS-representation for classical simulations of quantum systems is discussed.