We discuss here the hydrodynamic limit of independent quantum random walks evolving on ℤ. As main result, we obtain that the time evolution of the local equilibrium is governed by the convolution of the chosen initial profilewith a rescaled version of the limiting probability density obtained in the law of large numbers for a single quantum random walk.
CITATION STYLE
Baraviera, A., Franco, T., & Neumann, A. (2016). Hydrodynamic limit of quantum random walks. In Springer Proceedings in Mathematics and Statistics (Vol. 162, pp. 39–50). Springer New York LLC. https://doi.org/10.1007/978-3-319-32144-8_2
Mendeley helps you to discover research relevant for your work.