A lambda calculus for density matrices with classical and probabilistic controls

In this paper we present two flavors of a quantum extension to the lambda calculus. The first one, λρ,follows the approach of classical control/quantum data, where the quantum data is represented by density matrices. We provide an interpretation for programs as density matrices and functions upon th...

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Detalles Bibliográficos
Autor: Díaz Caro, Alejandro
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/43254
Acceso en línea:http://hdl.handle.net/11336/43254
Access Level:acceso abierto
Palabra clave:Classical Control
Density Matrices
Lambda Calculus
Quantum Computing
https://purl.org/becyt/ford/1.2
https://purl.org/becyt/ford/1
Descripción
Sumario:In this paper we present two flavors of a quantum extension to the lambda calculus. The first one, λρ,follows the approach of classical control/quantum data, where the quantum data is represented by density matrices. We provide an interpretation for programs as density matrices and functions upon them. The second one, λρ∘, takes advantage of the density matrices presentation in order to follow the mixed trace of programs in a kind of generalised density matrix. Such a control can be seen as a weaker form of the quantum control and data approach.** El volume de LNCS es 10695, pero el formulario sólo permite 4 dígitos **