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- W2916703658 abstract "Let $L$ denote the Laplacian matrix of a graph $G$. We study continuous quantum walks on $G$ defined by the transition matrix $U(t)=expleft(itLright)$. The initial state is of the pair state form, $e_a-e_b$ with $a,b$ being any two vertices of $G$. We provide two ways to construct infinite families of graphs that have perfect pair transfer. We study a transitivity phenomenon which cannot occur in vertex state transfer. We characterize perfect pair state transfer on paths and cycles. We also study the case when quantum walks are generated by the unsigned Laplacians of underlying graphs and the initial states are of the plus state form, $e_a+e_b$. When the underlying graphs are bipartite, plus state transfer is equivalent to pair state transfer." @default.
- W2916703658 created "2019-03-02" @default.
- W2916703658 creator A5075672373 @default.
- W2916703658 date "2019-01-11" @default.
- W2916703658 modified "2023-09-27" @default.
- W2916703658 title "Edge State Transfer" @default.
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