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- W4224992068 abstract "We consider a discrete-time quantum walk, called the Grover walk, on a distance regular graph X. Given that X has diameter d and invertible adjacency matrix, we show that the square of the transition matrix of the Grover walk on X is a product of at most d commuting transition matrices of continuous-time quantum walks, each on some distance digraph of the line digraph of X. We also obtain a similar factorization for any graph X in a Bose Mesner algebra." @default.
- W4224992068 created "2022-04-28" @default.
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- W4224992068 date "2022-09-01" @default.
- W4224992068 modified "2023-10-09" @default.
- W4224992068 title "Factoring discrete-time quantum walks on distance regular graphs into continuous-time quantum walks" @default.
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- W4224992068 doi "https://doi.org/10.1016/j.laa.2022.04.017" @default.
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