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http://hdl.handle.net/2080/4362| Title: | A Characterization of State Transfer on Double Subdivided Stars |
| Authors: | Mohapatra, Sarojini Pal, Hiranmoy |
| Keywords: | Spectra of graphs Galois group Perfect state transfer Pretty good state transfer |
| Issue Date: | Dec-2023 |
| Citation: | 38th Annual Conference of Ramanujan Mathematical Society(RMS), IIT Guwahati, India, 22nd - 24th December 2023 |
| Abstract: | A subdivided star SK1,l is obtained by identifying exactly one pendant vertex from l copies of the path P3. This study is on the existence of quantum state transfer on double subdivided star Tl,m which is a pair of subdivided stars SK1,l and SK1,m joined by an edge to the respective coalescence vertices. Using the Galois group of the characteristic polynomial of Tl,m, we analyze the linear independence of its eigenvalues which uncovers no perfect state transfer in double subdivided stars when considering the adjacency matrix as the Hamiltonian of corresponding quantum system. Finally, we provide a complete characterization on double subdivided stars exhibiting pretty good state transfer |
| Description: | Copyright belongs to proceeding publisher |
| URI: | http://hdl.handle.net/2080/4362 |
| Appears in Collections: | Conference Papers |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2023-RMS_HPal_ACharacterization.pdf | Presentation | 698.43 kB | Adobe PDF | View/Open Request a copy |
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