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Non-reversal Open Quantum Walks

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.