Graphical processes with abelian rotation symmetry

Graphical processes with abelian rotation symmetry

The idea of abelian quantum rotation is applied to the well established framework of categorical quantum mechanics and we provide a novel toolbox for the simulation of finite dimensional abelian quantum rotation. Strongly complementary structures are used to give the graphical characterisation of...

Full description

Saved in:
Bibliographic Details
Main Author: Rosli, Ahmad Aqwa
Format: Thesis
Language:English
English
Published: 2023
Subjects:
Quantum theory
Symmetry (Mathematics)
Online Access:http://psasir.upm.edu.my/id/eprint/111561/1/IPM%202023%201%20-%20IR.pdf
Tags: Add Tag
No Tags, Be the first to tag this record!
id my-upm-ir.111561
record_format uketd_dc
spelling my-upm-ir.1115612024-07-29T04:08:20Z Graphical processes with abelian rotation symmetry 2023-05 Rosli, Ahmad Aqwa The idea of abelian quantum rotation is applied to the well established framework of categorical quantum mechanics and we provide a novel toolbox for the simulation of finite dimensional abelian quantum rotation. Strongly complementary structures are used to give the graphical characterisation of classical aspects of abelian quantum rotation, their action on systems and the momentum observables. Weyl canonical commutation relations are identified from the axioms of strongly complementary, and the existence of dual pair of angle/momentum observables is concluded for finite dimensional abelian quantum rotation. The quantum structure of abelian quantum rotation is discussed by showing there exists a symmetry-observable duality and evolution of quantum state is described by the Eilenberg-Moore morphism. Finally, composite quantum rotational systems are constructed and it is shown that they have the synchronicity property and proved the conservation law of momentum. Quantum theory Symmetry (Mathematics) 2023-05 Thesis http://psasir.upm.edu.my/id/eprint/111561/ http://psasir.upm.edu.my/id/eprint/111561/1/IPM%202023%201%20-%20IR.pdf text en public masters Universiti Putra Malaysia Quantum theory Symmetry (Mathematics) Zainuddin, Hishamuddin English
institution Universiti Putra Malaysia
collection PSAS Institutional Repository
language English
English
advisor Zainuddin, Hishamuddin
topic Quantum theory
Symmetry (Mathematics)
spellingShingle Quantum theory
Symmetry (Mathematics)

Rosli, Ahmad Aqwa
Graphical processes with abelian rotation symmetry
description The idea of abelian quantum rotation is applied to the well established framework of categorical quantum mechanics and we provide a novel toolbox for the simulation of finite dimensional abelian quantum rotation. Strongly complementary structures are used to give the graphical characterisation of classical aspects of abelian quantum rotation, their action on systems and the momentum observables. Weyl canonical commutation relations are identified from the axioms of strongly complementary, and the existence of dual pair of angle/momentum observables is concluded for finite dimensional abelian quantum rotation. The quantum structure of abelian quantum rotation is discussed by showing there exists a symmetry-observable duality and evolution of quantum state is described by the Eilenberg-Moore morphism. Finally, composite quantum rotational systems are constructed and it is shown that they have the synchronicity property and proved the conservation law of momentum.
format Thesis
qualification_level Master's degree
author Rosli, Ahmad Aqwa
author_facet Rosli, Ahmad Aqwa
author_sort Rosli, Ahmad Aqwa
title Graphical processes with abelian rotation symmetry
title_short Graphical processes with abelian rotation symmetry
title_full Graphical processes with abelian rotation symmetry
title_fullStr Graphical processes with abelian rotation symmetry
title_full_unstemmed Graphical processes with abelian rotation symmetry
title_sort graphical processes with abelian rotation symmetry
granting_institution Universiti Putra Malaysia
publishDate 2023
url http://psasir.upm.edu.my/id/eprint/111561/1/IPM%202023%201%20-%20IR.pdf
_version_ 1811767751167967232

Similar Items