Symmetry in the quantized Baker's map and its effect on entanglement
The purpose of this project is to investigate the effects of symmetry on the entanglement power of the quantized Baker operator. We start off by defining the classical Baker’s map and went on to represent it as a shift operator on a string of qubits. Through the process, we brought our attention to...
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| Other Authors: | |
| Format: | Final Year Project (FYP) |
| Language: | English |
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2015
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| Online Access: | http://hdl.handle.net/10356/63452 |
| _version_ | 1811689160695611392 |
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| author | Lim, Wei Shun |
| author2 | Chew Lock Yue |
| author_facet | Chew Lock Yue Lim, Wei Shun |
| author_sort | Lim, Wei Shun |
| collection | NTU |
| description | The purpose of this project is to investigate the effects of symmetry on the entanglement power of the quantized Baker operator. We start off by defining the classical Baker’s map and went on to represent it as a shift operator on a string of qubits. Through the process, we brought our attention to the symmetries found in the classical version and the quantized operator. We then define and compared several entanglement measures, eventually settling on concurrence as our standard measure. Using the concurrence measure, we measured the entanglement generated by the Baker operator. We then represented the Baker operator as a block matrix in order to construct a spatially asymmetrical variation. With this variation, we measured the entanglement power and found out that spatial symmetry had little to no effect on entanglement. |
| first_indexed | 2024-10-01T05:43:41Z |
| format | Final Year Project (FYP) |
| id | ntu-10356/63452 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:43:41Z |
| publishDate | 2015 |
| record_format | dspace |
| spelling | ntu-10356/634522023-02-28T23:15:19Z Symmetry in the quantized Baker's map and its effect on entanglement Lim, Wei Shun Chew Lock Yue School of Physical and Mathematical Sciences DRNTU::Science::Physics The purpose of this project is to investigate the effects of symmetry on the entanglement power of the quantized Baker operator. We start off by defining the classical Baker’s map and went on to represent it as a shift operator on a string of qubits. Through the process, we brought our attention to the symmetries found in the classical version and the quantized operator. We then define and compared several entanglement measures, eventually settling on concurrence as our standard measure. Using the concurrence measure, we measured the entanglement generated by the Baker operator. We then represented the Baker operator as a block matrix in order to construct a spatially asymmetrical variation. With this variation, we measured the entanglement power and found out that spatial symmetry had little to no effect on entanglement. Bachelor of Science in Physics 2015-05-13T09:17:12Z 2015-05-13T09:17:12Z 2015 2015 Final Year Project (FYP) http://hdl.handle.net/10356/63452 en 116 p. application/pdf |
| spellingShingle | DRNTU::Science::Physics Lim, Wei Shun Symmetry in the quantized Baker's map and its effect on entanglement |
| title | Symmetry in the quantized Baker's map and its effect on entanglement |
| title_full | Symmetry in the quantized Baker's map and its effect on entanglement |
| title_fullStr | Symmetry in the quantized Baker's map and its effect on entanglement |
| title_full_unstemmed | Symmetry in the quantized Baker's map and its effect on entanglement |
| title_short | Symmetry in the quantized Baker's map and its effect on entanglement |
| title_sort | symmetry in the quantized baker s map and its effect on entanglement |
| topic | DRNTU::Science::Physics |
| url | http://hdl.handle.net/10356/63452 |
| work_keys_str_mv | AT limweishun symmetryinthequantizedbakersmapanditseffectonentanglement |