Perfect state transfer in graphs related to linear groups in two dimensions
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910578338955264 |
|---|---|
| author | Pantangi, Venkata Raghu Tej Sin, Peter |
| author_facet | Pantangi, Venkata Raghu Tej Sin, Peter |
| contents | We construct families of graphs from linear groups $\mathrm{SL}(2,q)$, $\mathrm{GL}(2,q)$ and $\mathrm{GU}(2,q^2)$, where $q$ is an odd prime power, with the property that the continuous-time quantum walks on the associated networks of qubits admit perfect state transfer. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14807 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Perfect state transfer in graphs related to linear groups in two dimensions Pantangi, Venkata Raghu Tej Sin, Peter Combinatorics 05C25, 81Q35 We construct families of graphs from linear groups $\mathrm{SL}(2,q)$, $\mathrm{GL}(2,q)$ and $\mathrm{GU}(2,q^2)$, where $q$ is an odd prime power, with the property that the continuous-time quantum walks on the associated networks of qubits admit perfect state transfer. |
| title | Perfect state transfer in graphs related to linear groups in two dimensions |
| topic | Combinatorics 05C25, 81Q35 |
| url | https://arxiv.org/abs/2408.14807 |