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}
}
  • Etsuo Segawa, Akito Suzuki
  • Published 2015
  • Physics, Mathematics
  • Quantum Studies: Mathematics and Foundations
  • 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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