Geodesic
Quantum state transfer in coronas
Ethan Ackelsberg1 ; Zachary Brehm2 ; Ada Chan3 ; Joshua Mundinger4 ; Christino Tamon5
1Bard College at Simon's Rock
2State University of New York at Potsdam
3York University
4Swarthmore College
5Clarkson University
The electronic journal of combinatorics, Tome 24 (2017) no. 2
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We study state transfer in quantum walks on graphs relative to the adjacency matrix. Our motivation is to understand how the addition of pendant subgraphs affect state transfer. For two graphs $G$ and $H$, the Frucht-Harary corona product $G \circ H$ is obtained by taking $|G|$ copies of the cone $K_{1} + H$ and by identifying the conical vertices according to $G$. Our work explores conditions under which the corona $G \circ H$ exhibits state transfer. We also describe new families of graphs with state transfer based on the corona product. Some of these constructions provide a generalization of related known results. A corrigendum was added on October 7, 2020.
DOI : 10.37236/6145
Classification : 05C50
Mots-clés : quantum walk, state transfer, corona

Ethan Ackelsberg  1   ; Zachary Brehm  2   ; Ada Chan  3   ; Joshua Mundinger  4   ; Christino Tamon  5

1 Bard College at Simon's Rock
2 State University of New York at Potsdam
3 York University
4 Swarthmore College
5 Clarkson University 
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     author = {Ethan Ackelsberg and Zachary Brehm and Ada Chan and Joshua Mundinger and Christino Tamon},
     title = {Quantum state transfer in coronas},
     journal = {The electronic journal of combinatorics},
     year = {2017},
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Ethan Ackelsberg; Zachary Brehm; Ada Chan; Joshua Mundinger; Christino Tamon. Quantum state transfer in coronas. The electronic journal of combinatorics, Tome 24 (2017) no. 2. doi: 10.37236/6145

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