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- W1968745071 abstract "In the continuous space and time limit, we show that the probability density to find the quantum random walk (QRW) driven by the Hadamard ``coin'' solves a hyperbolic evolution equation similar to the one obtained for a random two-velocity evolution with spatially inhomogeneous transition rates between the velocity states. In spite of the presence of a nonlinear drift term, it is remarkable that the QRW position can easily be described in simple analytical terms. This allows us to derive the quadratic time dependence of the variance typical for the QRW." @default.
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- W1968745071 date "2004-03-26" @default.
- W1968745071 modified "2023-10-04" @default.
- W1968745071 title "Quantum Random Walks and Piecewise Deterministic Evolutions" @default.
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- W1968745071 doi "https://doi.org/10.1103/physrevlett.92.120601" @default.
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