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You searched for +publisher:"Pontifical Catholic University of Rio de Janeiro" +contributor:("GEORGE SVETLICHNY"). Showing records 1 – 3 of 3 total matches.

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Pontifical Catholic University of Rio de Janeiro

1. DEBORA FREIRE MONDAINI. [en] TENSOR PRODUCT UNIVERSALITY AND COECKENULLS COMPOSITIONALITY THEOREM.

Degree: 2006, Pontifical Catholic University of Rio de Janeiro

[pt] O propósito deste trabalho é apresentar uma demonstração simplificada do Teorema da Composicionalidade de Coecke, o qual diz respeito ao processamento de informação quântica agregada a estados emaranhados hpartidos. Utilizando a propriedade da universalidade do produto tensorial em nossa prova, veremos que é possível considerar todos os estados relevantes como sendo estados-produto, o que torna a demonstração bem mais fácil. Apresentaremos ainda o processo de teleportação de estados quânticos, tão comentado nos dias de hoje, e verificaremos finalmente que tal processo é uma aplicação trivial do teorema de Coecke.

[en] The purpose of this work is to present a simplified demonstration of Co- ecke's Compositionality Theorem, which refers to the quantum information processing associated to n-partite entangled states. By using the universal property of the tensor product in our proof, we will see that is possible to consider all the relevant states as being product states, which turns the demonstration much easier. We will present also the teleportation process of quantum states, so called nowadays, and verify finally that such a process is a trivial application of Coecke's theorem

Advisors/Committee Members: GEORGE SVETLICHNY.

Subjects/Keywords: [pt] MECANICA QUANTICA; [en] QUANTUM MECHANICS; [pt] INFORMACAO QUANTICA; [en] QUANTUM INFORMATION; [pt] UNIVERSALIDADE; [en] UNIVERSALITY; [pt] EMARANHAMENTO; [en] ENTANGLEMENT; [pt] TELEPORTACAO; [en] TELEPORTATION

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

MONDAINI, D. F. (2006). [en] TENSOR PRODUCT UNIVERSALITY AND COECKENULLS COMPOSITIONALITY THEOREM. (Thesis). Pontifical Catholic University of Rio de Janeiro. Retrieved from http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=8674

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

MONDAINI, DEBORA FREIRE. “[en] TENSOR PRODUCT UNIVERSALITY AND COECKENULLS COMPOSITIONALITY THEOREM.” 2006. Thesis, Pontifical Catholic University of Rio de Janeiro. Accessed September 23, 2020. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=8674.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

MONDAINI, DEBORA FREIRE. “[en] TENSOR PRODUCT UNIVERSALITY AND COECKENULLS COMPOSITIONALITY THEOREM.” 2006. Web. 23 Sep 2020.

Vancouver:

MONDAINI DF. [en] TENSOR PRODUCT UNIVERSALITY AND COECKENULLS COMPOSITIONALITY THEOREM. [Internet] [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2006. [cited 2020 Sep 23]. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=8674.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

MONDAINI DF. [en] TENSOR PRODUCT UNIVERSALITY AND COECKENULLS COMPOSITIONALITY THEOREM. [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2006. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=8674

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


Pontifical Catholic University of Rio de Janeiro

2. RAFAEL KAUFMANN NEDAL. [en] SEMICLASSICAL STATES IN QUANTUM GRAVITY.

Degree: 2006, Pontifical Catholic University of Rio de Janeiro

[pt] A teoria da gravidade quântica em laços (loop quantum gravity ou LQG) é atualmente uma das mais promissoras abordagens para descrever a relatividade geral em termos quânticos. Um dos problemas-chave é detectar na teoria quântica estados semiclássicos, que apresentem propriedades macroscópicas iguais às de configurações específicas da teoria clássica. Nesta dissertação, começamos apresentando o formalismo da LQG e sua interpretação física. Do ponto de vista matemático, a LQG pode ser pensada como uma quantização canônica de uma teoria de gauge de SU(2) em uma 3-variedade. No entanto, diferentemente da abordagem usual, que gera uma representação apenas por operadores auto-adjuntos, a abordagem polimérica da LQG gera uma representação mista que usa operadores auto-adjuntos e unitários. Tomamos então um modelo polimérico, análogo à LQG, do sistema físico mais simples: o movimento unidimensional de uma partícula pontual. Neste contexto, desenvolvemos um arcabouço que resolve o problema dos estados semiclássicos, que são estudados em detalhe. Finalmente, consideramos a quantização polimérica do campo eletromagnético livre, resultando numa teoria abeliana muito similar à LQG. Neste contexto, o mesmo arcabouço desenvolvido para o caso anterior pode ser aplicado.

[en] Loop quantum gravity (LQG) is currently one of the most promising approaches to describing general relativity in quantum terms. One of its key issues is to detect in the quantum theory semiclassical states whose macroscopic properties are the same as those of specific configurations of the classical theory. In this dissertation, we begin by presenting the LQG formalism and its physical interpretation. From a mathematical point of view, LQG can be thought of as a canonical quantization of a SU(2) gauge theory in a 3-manifold. However, whereas the usual approach generates a representation exclusively by self-adjoint operators, LQG's polymer approach generates a mixed representation using both self- adjoint and unitary operators. We then take a polymer model, analogous to LQG, of the simplest physical system: the one-dimensional movement of a point particle. In this context, we develop a framework that solves the problem of semiclassical states, which are studied in detail. Finally, we consider the polymer quantization of the free electromagnetic field, which results in an abelian theory which is very similar to LQG. In this context, it is possible to apply the same framework that was developed for the previous case.

Advisors/Committee Members: GEORGE SVETLICHNY.

Subjects/Keywords: [pt] MECANICA QUANTICA; [en] QUANTUM MECHANICS; [pt] FISICA TEORICA; [en] THEORETICAL PHYSICS; [pt] RELATIVIDADE GERAL; [en] GENERAL RELATIVITY

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APA (6th Edition):

NEDAL, R. K. (2006). [en] SEMICLASSICAL STATES IN QUANTUM GRAVITY. (Thesis). Pontifical Catholic University of Rio de Janeiro. Retrieved from http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=8988

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

NEDAL, RAFAEL KAUFMANN. “[en] SEMICLASSICAL STATES IN QUANTUM GRAVITY.” 2006. Thesis, Pontifical Catholic University of Rio de Janeiro. Accessed September 23, 2020. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=8988.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

NEDAL, RAFAEL KAUFMANN. “[en] SEMICLASSICAL STATES IN QUANTUM GRAVITY.” 2006. Web. 23 Sep 2020.

Vancouver:

NEDAL RK. [en] SEMICLASSICAL STATES IN QUANTUM GRAVITY. [Internet] [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2006. [cited 2020 Sep 23]. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=8988.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

NEDAL RK. [en] SEMICLASSICAL STATES IN QUANTUM GRAVITY. [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2006. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=8988

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


Pontifical Catholic University of Rio de Janeiro

3. ALDO FERREIRA DA SILVA. [en] RENDALLNULLS THEOREMS AND THE UNIQUE DETERMINATION OF THE INNER PRODUCT IN REPRESENTATION OF ALGEBRAS.

Degree: 2004, Pontifical Catholic University of Rio de Janeiro

[pt] Trata-se de uma exposição do trabalho publicado por Alan D.Rendall intitulado Unique determination of an inner product by adjointness relations in the algebra of quantum observables, onde é demonstrado que dada uma representação de uma *- álgebra em um espaço pré-Hilbert V que é uma *- representação irredutível com relação ao produto interno definido em V podemos garantir, dadas algumas condições técnicas, a unicidade do produto interno a menos de uma constante multiplicativa. É feito um breve estudo sobre representações de álgebras e a Construção de Gelfand- Naymark-Segal é apresentada.

[en] This thesis is concerned with a paper from Alan D. Rendall named Unique determination of an inner product by adjointness relations in the algebra of quantum observables, in which is proved that given a *- representation of a *-algebra in a pre-Hilbert space V irreducible with regard to the inner product defined in V we can assure the uniqueness of the inner product up to a multiplicative constant subject to some technical conditions. We also make a brief study about algebra representations and the Gelfand-Naimark- Segal Construction is presented.

Advisors/Committee Members: GEORGE SVETLICHNY.

Subjects/Keywords: [pt] REPRESENTACAO; [en] REPRESENTATION; [pt] ALGEBRA; [en] ALGEBRA; [pt] APLICACOES SIMETRICAS; [en] SIMMETRIC OPERATORS; [pt] INDICE DE DEFICIENCIA; [en] DEFICIENCY INDEX; [pt] TEOREMA DE RENDALL; [en] RENDALLS THEOREM

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

SILVA, A. F. D. (2004). [en] RENDALLNULLS THEOREMS AND THE UNIQUE DETERMINATION OF THE INNER PRODUCT IN REPRESENTATION OF ALGEBRAS. (Thesis). Pontifical Catholic University of Rio de Janeiro. Retrieved from http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=5207

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

SILVA, ALDO FERREIRA DA. “[en] RENDALLNULLS THEOREMS AND THE UNIQUE DETERMINATION OF THE INNER PRODUCT IN REPRESENTATION OF ALGEBRAS.” 2004. Thesis, Pontifical Catholic University of Rio de Janeiro. Accessed September 23, 2020. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=5207.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

SILVA, ALDO FERREIRA DA. “[en] RENDALLNULLS THEOREMS AND THE UNIQUE DETERMINATION OF THE INNER PRODUCT IN REPRESENTATION OF ALGEBRAS.” 2004. Web. 23 Sep 2020.

Vancouver:

SILVA AFD. [en] RENDALLNULLS THEOREMS AND THE UNIQUE DETERMINATION OF THE INNER PRODUCT IN REPRESENTATION OF ALGEBRAS. [Internet] [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2004. [cited 2020 Sep 23]. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=5207.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

SILVA AFD. [en] RENDALLNULLS THEOREMS AND THE UNIQUE DETERMINATION OF THE INNER PRODUCT IN REPRESENTATION OF ALGEBRAS. [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2004. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=5207

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

.