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Fundamental quantum mechanics, a didactic proposal. De estas nociones base se presenta su formalismo para sistemas de dos niveles. Fundamental quantum mechanics FQM is a commented presentation of fundamental experiments and concepts of quantum mechanics, the physical theory of the quantum phenomena domain: superposition principle and quantum entanglement become the cornestone of the theoretical foundation of the quantum description. The formalism of these basic notions, for two-level systems, is presented. Also, the quantum measurement problem is stated through the discussion of the ideas of probability, evolution dynamics and measurement. Finally, this theoretical construction is contextualized in emblematic experiments of the quantum domain: the two slit experiment, the Stern-Gerlach experiment and the Mach-Zehnder interferometer, and in technological applications, such as quantum teleportation and quantum cryptography.

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Fundamental quantum mechanics, a didactic proposal. De estas nociones base se presenta su formalismo para sistemas de dos niveles. Fundamental quantum mechanics FQM is a commented presentation of fundamental experiments and concepts of quantum mechanics, the physical theory of the quantum phenomena domain: superposition principle and quantum entanglement become the cornestone of the theoretical foundation of the quantum description.

The formalism of these basic notions, for two-level systems, is presented. Also, the quantum measurement problem is stated through the discussion of the ideas of probability, evolution dynamics and measurement. Finally, this theoretical construction is contextualized in emblematic experiments of the quantum domain: the two slit experiment, the Stern-Gerlach experiment and the Mach-Zehnder interferometer, and in technological applications, such as quantum teleportation and quantum cryptography.

Besides, the FQM is a pedagogical proposal, formed by six didactic sequences, for high school teachers and students. Keywords: quantum mechanics teaching, foundations of quantum mechanics, didactic sequences. En lo que respecta a la MCF, es una propuesta que:. Estos son, a grandes rasgos, los contenidos desarrollados en la propuesta. Ahora interesa justificarlos. Para tal fin, en la secuencia Algoritmo, estados y propiedades se modelan, respectivamente, mediante correspondencias con vectores y operadores auto-adjuntos en un espacio de Hilbert.

En otras palabras, se trata de ver en los montajes experimentales lo que se comprende en estos conceptos. Cada secuencia remite a una Lectura o texto de apoyo que sirve de base para las discusiones y actividades en el aula. Los ejemplos usados, y las actividades propuestas, son en el espacio vectorial real , con todo, se comenta el hecho que el espacio general es complejo.

Las aplicaciones son materializaciones del campo de conocimientos al que remiten. Seleccionar forma los bloques que sean circulares y triangulares. Seleccionar color los bloques que sean azules y rojos. Experimentos I - V del texto de apoyo. Las correlaciones perfectas hacen referencia al hecho que cuando en ambos sub-sistemas se mide la misma propiedad, el resultado es siempre el mismo: esto es un tipo de entrelazamiento.

Un buena idea es invitar a los aprendices a que tomen partido por alguna de las opciones y traten de argumentar su defensa. En esto consisten las tres primeras secuencias, las tres restantes pueden ser vistas como consecuencias y aplicaciones de estos fundamentos conceptuales. Greca e M. Ostermann e M. Pereira e F. Graca and O.

Matthews Springer, Berlin, Graca e O. Pessoa, J. Bromberg e O. Behrendt, H. Dahncke et al. Springer, Berlin, Pospiech and M. Udruga, Croatia, , p. Pospiech, Physics Education 34 , Paty, European Journal of Physics 20 , Greenstein and A.

Zajonc, The quantum challenge: modern research on the foundations of quantum mechanics Jones and Bartlett Publishers, Sudbury, , 2 ed. Paty, Synthese , Hobson, American Journal of Physics 81 , Sciamanda, American Journal of Physics 81 , Sassoli de Bianchi, American Journal of Physics 81 , Nauenberg, American Journal of Physics 81 , Paty, in Stochastic Causality , editado por M.

Galavotti, P. Suppes and D. Haroche and J. Einstein, B. Podolsky and N. Rosen, Physical Review 47 , Yeang, Annals of Science 68 , Pero la secuencia Experimentos, justamente, describe dichas interacciones para cuatro montajes diferentes. All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License. Services on Demand Journal. ABSTRACT Fundamental quantum mechanics FQM is a commented presentation of fundamental experiments and concepts of quantum mechanics, the physical theory of the quantum phenomena domain: superposition principle and quantum entanglement become the cornestone of the theoretical foundation of the quantum description.

En lo que respecta a la MCF, es una propuesta que: 1. How to cite this article.

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Quantum cryptography

Quantum cryptography is the science of exploiting quantum mechanical properties to perform cryptographic tasks. The best known example of quantum cryptography is quantum key distribution which offers an information-theoretically secure solution to the key exchange problem. The advantage of quantum cryptography lies in the fact that it allows the completion of various cryptographic tasks that are proven or conjectured to be impossible using only classical i. For example, it is impossible to copy data encoded in a quantum state.

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