Continuous-time quantum walks show quadratic short-time scaling in multi-time position measurement nonclassicality unlike the linear scaling of single-time quantum-classical distance, with strong topology dependence at long times that varies under position versus energy dephasing.
Distributions of continuous-time quantum walks
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abstract
We study the distributions of the continuous-time quantum walk on a one-dimensional lattice. In particular we will consider walks on unbounded lattices, walks with one and two boundaries and Dirichlet boundary conditions, and walks with periodic boundary conditions. We will prove that all continuous-time quantum walks can be written as a series of Bessel functions of the first kind and show how to approximate these series.
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2025 1verdicts
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Temporal nonclassicality in continuous-time quantum walks
Continuous-time quantum walks show quadratic short-time scaling in multi-time position measurement nonclassicality unlike the linear scaling of single-time quantum-classical distance, with strong topology dependence at long times that varies under position versus energy dephasing.