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Doctoral Thesis
DOI
https://doi.org/10.11606/T.43.2016.tde-31052016-103937
Document
Author
Full name
Ricardo Alexander Castro Pinto
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2016
Supervisor
Committee
Guitman, Dmitri Maximovitch (President)
Frenkel, Josif
Gammal, Arnaldo
Sotkov, Galen Mihaylov
Vasilevich, Dmitry
Title in Portuguese
Emaranhamento de feixes de fótons por meio do campo magnético
Keywords in Portuguese
Campo Magnético
Emaranhamento Quântico
Informação Quântica
Mecânica Quântica
Abstract in Portuguese
Foi proposta uma experiência na qual seria possível produzir um emaranhamento quântico de feixes de fótons com diferentes frequências, movendo-se em uma mesma direção, controlado por meio de um campo magnético externo. Nessa experiência, a interação entre o campo magnético e fótons é realizada por intermédio de elétrons, que interagem tanto com os fótons quanto com o campo magnético externo. Foi desenvolvida uma teoria que descreve processos físicos. Derivamos medidas de emaranhamento de informação e de Schmidt para um sistema geral de dois qubits e a medida residual para um sistema geral de três qubits. Usando a informação obtida da análise dos sistemas de dois e de três quase-fótons, calculamos medidas de emaranhamento. Criamos um programa para cálculo numérico, nesses casos, através do qual construímos gráficos de dependência das medidas de emaranhamentos em feixes de dois e de três fótons. Os resultados obtidos nos permitem ver como a medida de emaranhamento depende dos parâmetros, que caracterizam o sistema em questão. Por exemplo, se ambas as polarizações dos fótons coincidem, então, nenhum emaranhamento ocorre. O emaranhamento acontece apenas se as polarizações do fóton forem opostas.
Title in English
Entanglement of two-qubit photon beam by magnetic field
Keywords in English
Entanglement
Magnetic Field
Quantum Information
Quantum Mechanics
Abstract in English
An experiment is proposed which can produce a quantum entanglement of photon beams having different frequencies and moving in the same direction. The experiment is controlled by an external magnetic field. In this experiment, the interaction between the photons and magnetic field is carried out by means of electrons interacting both with the photons and the external magnetic field. A theory is developed which describes physical processes in this experiment. The meausre of entanglement of information and the measure of Schmidt are calculated for the general system of two qubits, as well as the residual measure for general system of three qubits. Using the information obtained from the analysis of the systems of two and three quasi-photons, we have calculated the entanglement measures in such cases. A computer program is created for numerical calculations in such cases which enables one to construct the graphs of dependence for entanglements of measures in bundles of two and three photons. The results allow us to see how the entanglement measure depends on the parameters that characterize the system in question. For example, if both polarizations of the photons coincide, then no entanglement takes place. The entanglement occurs only if the polarization of the photon are opposite.
 
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RACastro_tese.pdf (2.86 Mbytes)
Publishing Date
2016-05-31
 
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