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Time operators for continuous-time and discrete-time quantum walks

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 نشر من قبل Daiju Funakawa
 تاريخ النشر 2019
  مجال البحث فيزياء
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We construct concrete examples of time operators for both continuous and discrete-time homogeneous quantum walks, and we determine their deficiency indices and spectra. For a discrete-time quantum walk, the time operator can be self-adjoint if the time evolution operator has a non-zero winding number. In this case, its spectrum becomes a discrete set of real numbers.



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