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- W4386556628 abstract "Split-step quantum walk operators can be expressed as a generalised version of CMV operators with complex transmission coefficients, which we call rotated CMV operators. Following the idea of Cantero, Moral and Velazquez's original construction of the original CMV operators from the theory of orthogonal polynomials on the unit circle (OPUC), we show that rotated CMV operators can be constructed similarly via a rotated version of OPUCs with respect to the same measure, and admit an analogous LM-factorisation as the original CMV operators. We also develop the rotated second kind polynomials corresponding to the rotated OPUCs. We then use the LM-factorisation of rotated alternate CMV operators to compute the Gesztesy-Zinchenko transfer matrices for rotated CMV operators." @default.
- W4386556628 created "2023-09-09" @default.
- W4386556628 creator A5092829165 @default.
- W4386556628 date "2023-09-04" @default.
- W4386556628 modified "2023-10-16" @default.
- W4386556628 title "On Rotated CMV Operators and Orthogonal Polynomials on the Unit Circle" @default.
- W4386556628 doi "https://doi.org/10.48550/arxiv.2309.01423" @default.
- W4386556628 hasPublicationYear "2023" @default.
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