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A study on complexity
This thesis explores quantum complexity for various quantum systems. Quantum complexity is a well defined quantity in quantum information theory that measures the difficulty of constructing a quantum state from a given reference state and so far, various methods within high energy physics communitie...
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2024
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| _version_ | 1867613330612420608 |
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| access_status_str | Open Access |
| author | Rapotu, Dimakatso |
| author2 | Haque, Shajid |
| author_browse | Haque, Shajid Rapotu, Dimakatso |
| author_facet | Haque, Shajid Rapotu, Dimakatso |
| author_sort | Rapotu, Dimakatso |
| collection | Thesis |
| description | This thesis explores quantum complexity for various quantum systems. Quantum complexity is a well defined quantity in quantum information theory that measures the difficulty of constructing a quantum state from a given reference state and so far, various methods within high energy physics communities have been proposed for computing complexity. In this thesis, we will first review the computations of the different methods used for computing complexity, such as the circuit complexity that uses the wave function, Fubini-Study complexity, and finally the recently proposed Krylov complexity for closed quantum systems. We then extend our investigation and review the complexity for some open quantum systems that have already been explored in literature and finally, we will make some progress by also extending the investigation towards computing the complexity of a new open quantum system, namely the non-gaussian random matrix model. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/39822 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:34:25.395Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2024 |
| publishDateRange | 2024 |
| publishDateSort | 2024 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/39822 A study on complexity Rapotu, Dimakatso Haque, Shajid Murugan Jeffrey Mathematics and Applied Mathematics This thesis explores quantum complexity for various quantum systems. Quantum complexity is a well defined quantity in quantum information theory that measures the difficulty of constructing a quantum state from a given reference state and so far, various methods within high energy physics communities have been proposed for computing complexity. In this thesis, we will first review the computations of the different methods used for computing complexity, such as the circuit complexity that uses the wave function, Fubini-Study complexity, and finally the recently proposed Krylov complexity for closed quantum systems. We then extend our investigation and review the complexity for some open quantum systems that have already been explored in literature and finally, we will make some progress by also extending the investigation towards computing the complexity of a new open quantum system, namely the non-gaussian random matrix model. 2024-06-03T07:42:36Z 2024-06-03T07:42:36Z 2023 2024-06-03T07:36:02Z Thesis / Dissertation Masters MSc http://hdl.handle.net/11427/39822 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science |
| spellingShingle | Mathematics and Applied Mathematics Rapotu, Dimakatso A study on complexity |
| thesis_degree_str | Master's |
| title | A study on complexity |
| title_full | A study on complexity |
| title_fullStr | A study on complexity |
| title_full_unstemmed | A study on complexity |
| title_short | A study on complexity |
| title_sort | study on complexity |
| topic | Mathematics and Applied Mathematics |
| url | http://hdl.handle.net/11427/39822 |
| work_keys_str_mv | AT rapotudimakatso astudyoncomplexity AT rapotudimakatso studyoncomplexity |