Perfect quantum state transfer on Cayley graphs over semi-dihedral groups
Perfect quantum state transfer plays a crucial role in quantum information processing and quantum computation. There has been extensive study of perfect quantum state transfer on Cayley graphs over abelian groups. In this paper, we consider the existence of perfect quantum state transfer on Cayley g...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Language: | English |
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2022
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| Online Access: | https://hdl.handle.net/10356/156041 |
| _version_ | 1826116498608881664 |
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| author | Luo, Gaojun Cao, Xiwang Wang, Dandan Wu, Xia |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Luo, Gaojun Cao, Xiwang Wang, Dandan Wu, Xia |
| author_sort | Luo, Gaojun |
| collection | NTU |
| description | Perfect quantum state transfer plays a crucial role in quantum information processing and quantum computation. There has been extensive study of perfect quantum state transfer on Cayley graphs over abelian groups. In this paper, we consider the existence of perfect quantum state transfer on Cayley graphs over semi-dihedral groups which are non-abelian groups. Using the representations of semi-dihedral groups, we provide some necessary and sufficient conditions for Cayley graphs over semi-dihedral groups admitting perfect quantum state transfer. By those conditions, we present examples of perfect quantum state transfer on Cayley graphs over semi-dihedral groups. In addition, we propose results about whether some new Cayley graphs over non-abelian groups admit perfect quantum state transfer. |
| first_indexed | 2024-10-01T04:12:24Z |
| format | Journal Article |
| id | ntu-10356/156041 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:12:24Z |
| publishDate | 2022 |
| record_format | dspace |
| spelling | ntu-10356/1560412023-02-28T20:03:17Z Perfect quantum state transfer on Cayley graphs over semi-dihedral groups Luo, Gaojun Cao, Xiwang Wang, Dandan Wu, Xia School of Physical and Mathematical Sciences Science::Mathematics::Algebra Perfect Quantum State Transfer Cayley Graph Perfect quantum state transfer plays a crucial role in quantum information processing and quantum computation. There has been extensive study of perfect quantum state transfer on Cayley graphs over abelian groups. In this paper, we consider the existence of perfect quantum state transfer on Cayley graphs over semi-dihedral groups which are non-abelian groups. Using the representations of semi-dihedral groups, we provide some necessary and sufficient conditions for Cayley graphs over semi-dihedral groups admitting perfect quantum state transfer. By those conditions, we present examples of perfect quantum state transfer on Cayley graphs over semi-dihedral groups. In addition, we propose results about whether some new Cayley graphs over non-abelian groups admit perfect quantum state transfer. Submitted/Accepted version This work was supported by the NTU Research Grant 04INS000047C230GRT01 and the National Natural Science Foundation of China [grant numbers 11771007, 11971102, 11801070 and 61572027]. 2022-03-31T08:42:09Z 2022-03-31T08:42:09Z 2021 Journal Article Luo, G., Cao, X., Wang, D. & Wu, X. (2021). Perfect quantum state transfer on Cayley graphs over semi-dihedral groups. Linear and Multilinear Algebra. https://dx.doi.org/10.1080/03081087.2021.1954585 0308-1087 https://hdl.handle.net/10356/156041 10.1080/03081087.2021.1954585 2-s2.0-85110911509 en 4INS000047C230GRT01 Linear and Multilinear Algebra This is an Accepted Manuscript of an article published by Taylor & Francis in Linear and Multilinear Algebra on 15 Jul 2021, available online: http://www.tandfonline.com/10.1080/03081087.2021.1954585 application/pdf |
| spellingShingle | Science::Mathematics::Algebra Perfect Quantum State Transfer Cayley Graph Luo, Gaojun Cao, Xiwang Wang, Dandan Wu, Xia Perfect quantum state transfer on Cayley graphs over semi-dihedral groups |
| title | Perfect quantum state transfer on Cayley graphs over semi-dihedral groups |
| title_full | Perfect quantum state transfer on Cayley graphs over semi-dihedral groups |
| title_fullStr | Perfect quantum state transfer on Cayley graphs over semi-dihedral groups |
| title_full_unstemmed | Perfect quantum state transfer on Cayley graphs over semi-dihedral groups |
| title_short | Perfect quantum state transfer on Cayley graphs over semi-dihedral groups |
| title_sort | perfect quantum state transfer on cayley graphs over semi dihedral groups |
| topic | Science::Mathematics::Algebra Perfect Quantum State Transfer Cayley Graph |
| url | https://hdl.handle.net/10356/156041 |
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