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- W2999128084 abstract "We obtain a structure theorem of the positive support of the $n$-th power of the Grover walk on $k$-regular graph whose girth is greater than $2(n-1)$. This structure theorem is provided by the parity of the amplitude of another quantum walk on the line which depends only on $k$. The phase pattern of this quantum walk has a curious regularity. We also exactly show how the spectrum of the $n$-th power of the Grover walk is obtained by lifting up that of the adjacency matrix to the complex plain." @default.
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- W2999128084 date "2019-05-17" @default.
- W2999128084 modified "2023-10-14" @default.
- W2999128084 title "Phase Measurement of Quantum Walks: Application to Structure Theorem of the Positive Support of the Grover Walk" @default.
- W2999128084 doi "https://doi.org/10.37236/7618" @default.
- W2999128084 hasPublicationYear "2019" @default.
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