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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Acceso en línea: | http://babel.banrepcultural.org/cdm/ref/collection/p17054coll23/id/254 |
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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 |
_version_ |
1682459902581145600 |
score |
12,131701 |