Non-Orthomodular Models for Both Standard Quantum Logic and Standard Classical Logic: Repercussions for Quantum Computers
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Non-Orthomodular Models for Both Standard Quantum Logic and Standard Classical Logic: Repercussions for Quantum Computers
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| Id. |
45959808 |
| Idioma |
inglés
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| Titulo |
Non-Orthomodular Models for Both Standard Quantum Logic and Standard Classical Logic: Repercussions for Quantum Computers |
| Autor(es) |
Mladen Pavičić
Norman D. Megill
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| Localización |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.126.6909
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| Versión |
1.0 |
| Estado |
Final
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| Descripción |
Abstract. It is shown that propositional calculuses of both quantum and classical logics are noncategorical. We find that quantum logic is in addition to an orthomodular lattice also modeled by a weakly orthomodular lattice and that classical logic is in addition to a Boolean algebra also modeled by a weakly distributive lattice. Both new models turn out to be non-orthomodular. We prove the soundness and completeness of the calculuses for the models. We also prove that all the operations in an orthomodular lattice are five-fold defined. In the end we discuss possible repercussions of our results to quantum computations and quantum computers.
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| Tipo |
application/pdf
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| Palabras clave |
quantum logic
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| Tipo de recurso |
Texto Narrativo
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| Tipo de Interactividad |
Expositivo
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| Nivel de Interactividad |
muy bajo
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| Audiencia |
Estudiante
Profesor
Autor
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| Estructura |
Atomic |
| Coste |
no
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| Copyright |
sí
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Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| Formatos |
application/pdf
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| Requerimientos técnicos |
Browser: Any
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| Relación |
[IsBasedOn] http://m3k.grad.hr/papers-ps-pdf/quantum-logic/1999-helv-phys-acta.pdf
[References] 10.1.1.123.8183
[References] 10.1.1.15.6997
[References] 10.1.1.141.5015
[References] 10.1.1.77.6826
[References] 10.1.1.113.3492
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| Fecha de contribución |
16-jul-2009 |
| Contacto |
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