Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Convex Quantum Logic |
Autor: | Holik, F.; Massri, C.; Ciancaglini, N. |
Filiación: | Instituto de Física de La Plata (IFLP), Buenos Aires, Argentina Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón I, Ciudad Universitaria, Buenos Aires, Argentina
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Palabras clave: | Convex sets; Entanglement; Quantum logic |
Año: | 2012
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Volumen: | 51
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Número: | 5
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Página de inicio: | 1600
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Página de fin: | 1620
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DOI: |
http://dx.doi.org/10.1007/s10773-011-1037-y |
Título revista: | International Journal of Theoretical Physics
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Título revista abreviado: | Int. J. Theor. Phys.
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ISSN: | 00207748
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v51_n5_p1600_Holik |
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Citas:
---------- APA ----------
Holik, F., Massri, C. & Ciancaglini, N.
(2012)
. Convex Quantum Logic. International Journal of Theoretical Physics, 51(5), 1600-1620.
http://dx.doi.org/10.1007/s10773-011-1037-y---------- CHICAGO ----------
Holik, F., Massri, C., Ciancaglini, N.
"Convex Quantum Logic"
. International Journal of Theoretical Physics 51, no. 5
(2012) : 1600-1620.
http://dx.doi.org/10.1007/s10773-011-1037-y---------- MLA ----------
Holik, F., Massri, C., Ciancaglini, N.
"Convex Quantum Logic"
. International Journal of Theoretical Physics, vol. 51, no. 5, 2012, pp. 1600-1620.
http://dx.doi.org/10.1007/s10773-011-1037-y---------- VANCOUVER ----------
Holik, F., Massri, C., Ciancaglini, N. Convex Quantum Logic. Int. J. Theor. Phys. 2012;51(5):1600-1620.
http://dx.doi.org/10.1007/s10773-011-1037-y