Testing integrability with a single bit of quantum information

We show that deterministic quantum computing with a single bit can determine whether the classical limit of a quantum system is chaotic or integrable using [Formula Presented] physical resources, where N is the dimension of the Hilbert space of the system under study. This is a square-root improveme...

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Detalles Bibliográficos
Autores: Poulin, David, Laflamme, Raymond, Milburn, G. J., Paz, Juan Pablo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2003
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/72059
Acceso en línea:http://hdl.handle.net/11336/72059
Access Level:acceso abierto
Palabra clave:DECOHERENCE
QUANTUM CHAOS
QUANTUM INFORMATION
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
Descripción
Sumario:We show that deterministic quantum computing with a single bit can determine whether the classical limit of a quantum system is chaotic or integrable using [Formula Presented] physical resources, where N is the dimension of the Hilbert space of the system under study. This is a square-root improvement over all known classical procedures. Our study relies strictly on the random matrix conjecture. We also present numerical results for the nonlinear kicked top.