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- 要約等For a quantum walk on a graph, there exist many kinds of operators for the discrete-time evolution. We give a general relation between the characteristic polynomial of the evolution matrix of a quantum walk on edges and that of a kind of transition matrix of a classical random walk on vertices. Furthermore we determine the structure of the positive support of the cube of some evolution matrix, which is said to be useful for isospectral problem in graphs, under a certain condition. MI: Global COE Program Education-and-Research Hub for Mathematics-for-Industry グローバルCOEプログラ...
- 件名quantum walk evolution matrix characteristic polynomial isospectral problem
- 著者標目Yusuke Higuchi Norio Konno Iwao Sato
デジタル記事
インターネットで読める全国の図書館
- 件名quantum walk evolution matrix characteristic polynomial isospectral problem
- 一般注記MI: Global COE Program Education-and-Research Hub for Mathematics-for-Industry グローバルCOEプログラ...
- 関連情報Journal of Math-for-Industry || 5(B) || p103-109 JMI || 5(B) || p103-109 http://gcoe-mi.jp/
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