Crossover dynamics of tunable quantum walk in noisy channels / Nur Izzati Ishak
This study investigates the crossover dynamics of a one-dimensional discrete-time quantum walk (DTQW) in noisy environments using the density matrix formalism and Kraus operator representation of quantum operations. Decoherence is modeled by bit-flip, dephasing, and bit-phase noise channels, while d...
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis |
| Published: |
2023
|
| Subjects: | |
| Online Access: | http://studentsrepo.um.edu.my/15801/2/Nur_Izzati_Ishak.pdf http://studentsrepo.um.edu.my/15801/1/Nur_Izzati_Ishak.pdf http://studentsrepo.um.edu.my/15801/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1840842910188175360 |
|---|---|
| author | Nur Izzati , Ishak |
| author_facet | Nur Izzati , Ishak |
| author_sort | Nur Izzati , Ishak |
| building | UM Library |
| collection | Institutional Repository |
| content_provider | Universiti Malaya |
| content_source | UM Student Repository |
| continent | Asia |
| country | Malaysia |
| description | This study investigates the crossover dynamics of a one-dimensional discrete-time quantum walk (DTQW) in noisy environments using the density matrix formalism and Kraus operator representation of quantum operations. Decoherence is modeled by bit-flip, dephasing, and bit-phase noise channels, while dissipation is represented by generalized amplitude damping channels. The analysis of crossover dynamics involves examining the probability distribution, scaling exponent of variance, coherence measures, and entropy metrics such as Shannon and von Neumann entropy. The DTQW produces a symmetrical probability distribution of displacement under decoherence, with distinct features in scaling exponents of mean squared displacement or variance. Under dissipation, DTQW produces a non-symmetric probability distribution and spreads faster than classical walk under extreme decoherence. These suggest a broad class of crossover transport behavior, which can be classified as pure quantum walk, quantum-like walk, semi-classical-like walk, and classical-like walk. Remarkably, maximum Shannon entropy is achieved at lower degrees of decoherence. This study also analyzes the effect of temporal disorder in the coin operator modeled using fractional Gaussian noise (fGn). The crossover dynamic occurs in the form of weak localization, followed by enhanced entanglement and information backflow. Notably, the correlation of fGn is transferred to the coin's degree of entanglement and transpires in the two-point correlation of the von Neumann entropy fluctuation. These findings can be useful for implementing DTQW-based protocols in quantum error correction, quantum cryptography, and quantum memory on the noisy intermediate-scale quantum (NISQ) platform.
|
| format | Thesis |
| id | my.um.stud-15801 |
| institution | Universiti Malaya |
| publishDate | 2023 |
| record_format | eprints |
| spelling | my.um.stud-158012025-08-14T00:06:53Z Crossover dynamics of tunable quantum walk in noisy channels / Nur Izzati Ishak Nur Izzati , Ishak Q Science (General) QC Physics This study investigates the crossover dynamics of a one-dimensional discrete-time quantum walk (DTQW) in noisy environments using the density matrix formalism and Kraus operator representation of quantum operations. Decoherence is modeled by bit-flip, dephasing, and bit-phase noise channels, while dissipation is represented by generalized amplitude damping channels. The analysis of crossover dynamics involves examining the probability distribution, scaling exponent of variance, coherence measures, and entropy metrics such as Shannon and von Neumann entropy. The DTQW produces a symmetrical probability distribution of displacement under decoherence, with distinct features in scaling exponents of mean squared displacement or variance. Under dissipation, DTQW produces a non-symmetric probability distribution and spreads faster than classical walk under extreme decoherence. These suggest a broad class of crossover transport behavior, which can be classified as pure quantum walk, quantum-like walk, semi-classical-like walk, and classical-like walk. Remarkably, maximum Shannon entropy is achieved at lower degrees of decoherence. This study also analyzes the effect of temporal disorder in the coin operator modeled using fractional Gaussian noise (fGn). The crossover dynamic occurs in the form of weak localization, followed by enhanced entanglement and information backflow. Notably, the correlation of fGn is transferred to the coin's degree of entanglement and transpires in the two-point correlation of the von Neumann entropy fluctuation. These findings can be useful for implementing DTQW-based protocols in quantum error correction, quantum cryptography, and quantum memory on the noisy intermediate-scale quantum (NISQ) platform. 2023-12 Thesis NonPeerReviewed application/pdf http://studentsrepo.um.edu.my/15801/2/Nur_Izzati_Ishak.pdf application/pdf http://studentsrepo.um.edu.my/15801/1/Nur_Izzati_Ishak.pdf Nur Izzati , Ishak (2023) Crossover dynamics of tunable quantum walk in noisy channels / Nur Izzati Ishak. PhD thesis, Universiti Malaya. http://studentsrepo.um.edu.my/15801/ |
| spellingShingle | Q Science (General) QC Physics Nur Izzati , Ishak Crossover dynamics of tunable quantum walk in noisy channels / Nur Izzati Ishak |
| title | Crossover dynamics of tunable quantum walk in noisy channels / Nur Izzati Ishak |
| title_full | Crossover dynamics of tunable quantum walk in noisy channels / Nur Izzati Ishak |
| title_fullStr | Crossover dynamics of tunable quantum walk in noisy channels / Nur Izzati Ishak |
| title_full_unstemmed | Crossover dynamics of tunable quantum walk in noisy channels / Nur Izzati Ishak |
| title_short | Crossover dynamics of tunable quantum walk in noisy channels / Nur Izzati Ishak |
| title_sort | crossover dynamics of tunable quantum walk in noisy channels / nur izzati ishak |
| topic | Q Science (General) QC Physics |
| url | http://studentsrepo.um.edu.my/15801/2/Nur_Izzati_Ishak.pdf http://studentsrepo.um.edu.my/15801/1/Nur_Izzati_Ishak.pdf http://studentsrepo.um.edu.my/15801/ |
| url_provider | http://studentsrepo.um.edu.my/ |