# Generator of an abstract quantum walk

@article{Segawa2015GeneratorOA, title={Generator of an abstract quantum walk}, author={Etsuo Segawa and Akito Suzuki}, journal={Quantum Studies: Mathematics and Foundations}, year={2015}, volume={3}, pages={11-30} }

We give an explicit formula of the generator of an abstract Szegedy evolution operator in terms of the discriminant operator of the evolution. We also characterize the asymptotic behavior of a quantum walker through the spectral property of the discriminant operator by using the discrete analog of the RAGE theorem.

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