Convex Quantum Logic

In this work we study the convex set of quantum states from a quantum logical point of view. We consider an algebraic structure based on the convex subsets of this set. The relationship of this algebraic structure with the lattice of propositions of quantum logic is shown. This new structure is suit...

Descripción completa

Detalles Bibliográficos
Autores principales: Holik, Federico Hernán, Massri, César
Publicado: 2012
Materias:
Convex sets
Entanglement
Quantum logic
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v51_n5_p1600_Holik
http://hdl.handle.net/20.500.12110/paper_00207748_v51_n5_p1600_Holik
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00207748_v51_n5_p1600_Holik
record_format dspace
spelling paper:paper_00207748_v51_n5_p1600_Holik2023-06-08T14:41:58Z Convex Quantum Logic Holik, Federico Hernán Massri, César Convex sets Entanglement Quantum logic In this work we study the convex set of quantum states from a quantum logical point of view. We consider an algebraic structure based on the convex subsets of this set. The relationship of this algebraic structure with the lattice of propositions of quantum logic is shown. This new structure is suitable for the study of compound systems and shows new differences between quantum and classical mechanics. These differences are linked to the nontrivial correlations which appear when quantum systems interact. They are reflected in the new propositional structure, and do not have a classical analogue. This approach is also suitable for an algebraic characterization of entanglement and it provides a new entanglement criteria. © 2011 Springer Science+Business Media, LLC. Fil:Holik, F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Massri, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2012 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v51_n5_p1600_Holik http://hdl.handle.net/20.500.12110/paper_00207748_v51_n5_p1600_Holik
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Convex sets
Entanglement
Quantum logic
spellingShingle Convex sets
Entanglement
Quantum logic
Holik, Federico Hernán
Massri, César
Convex Quantum Logic
topic_facet Convex sets
Entanglement
Quantum logic
description In this work we study the convex set of quantum states from a quantum logical point of view. We consider an algebraic structure based on the convex subsets of this set. The relationship of this algebraic structure with the lattice of propositions of quantum logic is shown. This new structure is suitable for the study of compound systems and shows new differences between quantum and classical mechanics. These differences are linked to the nontrivial correlations which appear when quantum systems interact. They are reflected in the new propositional structure, and do not have a classical analogue. This approach is also suitable for an algebraic characterization of entanglement and it provides a new entanglement criteria. © 2011 Springer Science+Business Media, LLC.
author Holik, Federico Hernán
Massri, César
author_facet Holik, Federico Hernán
Massri, César
author_sort Holik, Federico Hernán
title Convex Quantum Logic
title_short Convex Quantum Logic
title_full Convex Quantum Logic
title_fullStr Convex Quantum Logic
title_full_unstemmed Convex Quantum Logic
title_sort convex quantum logic
publishDate 2012
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v51_n5_p1600_Holik
http://hdl.handle.net/20.500.12110/paper_00207748_v51_n5_p1600_Holik
work_keys_str_mv AT holikfedericohernan convexquantumlogic
AT massricesar convexquantumlogic
_version_ 1768542971100135424

Ejemplares similares