A model of non-reversal quantum walk is introduced. The process is introduced in 1D and 2D using the formalism of open quantum walks (OQWs). In such a walk, a particle cannot go back to previously visited sites but it can jump on the same site or move to a new site. Examples of some non-reversal quantum trajectories and distributions are given and their difference with normal OQWs is discussed. Finally, a linear relationship is formulated between the radius of the spread and the number of steps of the walk that might have interesting applications.

中文翻译：

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非逆转开放量子行走

介绍了一种不可逆量子游走模型。使用开放量子游走 (OQW) 的形式在 1D 和 2D 中引入该过程。在这样的行走中，粒子不能回到以前访问过的站点，但它可以跳到同一站点或移动到新站点。给出了一些非反转量子轨迹和分布的例子，并讨论了它们与正常 OQW 的区别。最后，在传播的半径和可能有有趣应用的步行步数之间建立了线性关系。