Tensor contraction schemes for 2D problems in quantum simulation = Esquemas de contracción de tensores para problemas de 2D en simulaciones cuánticas

Quantum simulation describes a great variety of process observed in laboratories and daily life, however, as soon as the computer programs involve more particles, time and storage turn out to be critical issues that constraint the execution of larger simulations. Tensor Contraction Schemes for 2D Pr...

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Autor Principal: Enciso Moreno, Javier Mauricio
Formato: Trabajo de grado (Bachelor Thesis)
Lenguaje:Desconocido (Unknown)
Publicado: 2010
Materias:
Acceso en línea:http://babel.banrepcultural.org/cdm/ref/collection/p17054coll23/id/254
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spelling ir-p17054coll23-2542020-09-29 Tensor contraction schemes for 2D problems in quantum simulation = Esquemas de contracción de tensores para problemas de 2D en simulaciones cuánticas Enciso Moreno, Javier Mauricio Quantum simulation describes a great variety of process observed in laboratories and daily life, however, as soon as the computer programs involve more particles, time and storage turn out to be critical issues that constraint the execution of larger simulations. Tensor Contraction Schemes for 2D Problems in Quantum Simulation is based on the ideas of Huckle and Waldherr and is a courageous attempt to describe many-body systems accurately without the intrinsic dimensional problems. To achieve this goal, two well-established techniques are applied to represent large vectors implicitly and, through a variational-based numerical method, minimise the related optimisation problem. Remarkably, the contraction schemes demand linear storage and time resources only. As result, the proposed scheme was able to produce solutions up to the first significant digit for 12-particle system, taking no more than few iteration.Finally, there are still open issues regarding the accuracy in the vector representation and the local optimality of the iterative method that must to be addressed in future investigations. Esquemas de contracción; Quantum simulation; Simulación cuántica; Tensores; Contraction schemes; Tensors Ciencias naturales y matemáticas; Ciencias naturales y matemáticas / Física; Tecnología; Tecnología / Ingeniería y operaciones afines 2010 PDF Tesis ENG - Inglés Colfuturo © Derechos reservados del autor http://babel.banrepcultural.org/cdm/ref/collection/p17054coll23/id/254
institution Biblioteca Virtual Banco de la República - Colecciones digitales
collection Custom
language Desconocido (Unknown)
topic Esquemas de contracción; Quantum simulation; Simulación cuántica; Tensores; Contraction schemes; Tensors
Ciencias naturales y matemáticas; Ciencias naturales y matemáticas / Física; Tecnología; Tecnología / Ingeniería y operaciones afines
spellingShingle Esquemas de contracción; Quantum simulation; Simulación cuántica; Tensores; Contraction schemes; Tensors
Ciencias naturales y matemáticas; Ciencias naturales y matemáticas / Física; Tecnología; Tecnología / Ingeniería y operaciones afines
Enciso Moreno, Javier Mauricio
Tensor contraction schemes for 2D problems in quantum simulation = Esquemas de contracción de tensores para problemas de 2D en simulaciones cuánticas
description Quantum simulation describes a great variety of process observed in laboratories and daily life, however, as soon as the computer programs involve more particles, time and storage turn out to be critical issues that constraint the execution of larger simulations. Tensor Contraction Schemes for 2D Problems in Quantum Simulation is based on the ideas of Huckle and Waldherr and is a courageous attempt to describe many-body systems accurately without the intrinsic dimensional problems. To achieve this goal, two well-established techniques are applied to represent large vectors implicitly and, through a variational-based numerical method, minimise the related optimisation problem. Remarkably, the contraction schemes demand linear storage and time resources only. As result, the proposed scheme was able to produce solutions up to the first significant digit for 12-particle system, taking no more than few iteration.Finally, there are still open issues regarding the accuracy in the vector representation and the local optimality of the iterative method that must to be addressed in future investigations.
format Trabajo de grado (Bachelor Thesis)
author Enciso Moreno, Javier Mauricio
author_facet Enciso Moreno, Javier Mauricio
author_sort Enciso Moreno, Javier Mauricio
title Tensor contraction schemes for 2D problems in quantum simulation = Esquemas de contracción de tensores para problemas de 2D en simulaciones cuánticas
title_short Tensor contraction schemes for 2D problems in quantum simulation = Esquemas de contracción de tensores para problemas de 2D en simulaciones cuánticas
title_full Tensor contraction schemes for 2D problems in quantum simulation = Esquemas de contracción de tensores para problemas de 2D en simulaciones cuánticas
title_fullStr Tensor contraction schemes for 2D problems in quantum simulation = Esquemas de contracción de tensores para problemas de 2D en simulaciones cuánticas
title_full_unstemmed Tensor contraction schemes for 2D problems in quantum simulation = Esquemas de contracción de tensores para problemas de 2D en simulaciones cuánticas
title_sort tensor contraction schemes for 2d problems in quantum simulation = esquemas de contracción de tensores para problemas de 2d en simulaciones cuánticas
publishDate 2010
url http://babel.banrepcultural.org/cdm/ref/collection/p17054coll23/id/254
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score 12,131701