Contextual logic for quantum systems
In this work we build a quantum logic that allows us to refer to physical magnitudes pertaining to different contexts from a fixed one without the contradictions with quantum mechanics expressed in no-go theorems. This logic arises from considering a sheaf over a topological space associated with th...
| Autores principales: | , |
|---|---|
| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00222488_v46_n1_p_Domenech |
| Aporte de: |
| id |
todo:paper_00222488_v46_n1_p_Domenech |
|---|---|
| record_format |
dspace |
| spelling |
todo:paper_00222488_v46_n1_p_Domenech2023-10-03T14:29:44Z Contextual logic for quantum systems Domenech, G. Freytes, H. In this work we build a quantum logic that allows us to refer to physical magnitudes pertaining to different contexts from a fixed one without the contradictions with quantum mechanics expressed in no-go theorems. This logic arises from considering a sheaf over a topological space associated with the Boolean sublattices of the ortholattice of closed subspaces of the Hilbert space of the physical system. Different from standard quantum logics, the contextual logic maintains a distributive lattice structure and a good definition of implication as a residue of the conjunction. © 2005 American Institute of Physics. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00222488_v46_n1_p_Domenech |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
In this work we build a quantum logic that allows us to refer to physical magnitudes pertaining to different contexts from a fixed one without the contradictions with quantum mechanics expressed in no-go theorems. This logic arises from considering a sheaf over a topological space associated with the Boolean sublattices of the ortholattice of closed subspaces of the Hilbert space of the physical system. Different from standard quantum logics, the contextual logic maintains a distributive lattice structure and a good definition of implication as a residue of the conjunction. © 2005 American Institute of Physics. |
| format |
JOUR |
| author |
Domenech, G. Freytes, H. |
| spellingShingle |
Domenech, G. Freytes, H. Contextual logic for quantum systems |
| author_facet |
Domenech, G. Freytes, H. |
| author_sort |
Domenech, G. |
| title |
Contextual logic for quantum systems |
| title_short |
Contextual logic for quantum systems |
| title_full |
Contextual logic for quantum systems |
| title_fullStr |
Contextual logic for quantum systems |
| title_full_unstemmed |
Contextual logic for quantum systems |
| title_sort |
contextual logic for quantum systems |
| url |
http://hdl.handle.net/20.500.12110/paper_00222488_v46_n1_p_Domenech |
| work_keys_str_mv |
AT domenechg contextuallogicforquantumsystems AT freytesh contextuallogicforquantumsystems |
| _version_ |
1807319011748216832 |