2022年1月20日 · In this paper, we highlight the directivity of one-dimensional discrete quantum walks via QWRWs. By exploiting the fact that QWRW allows trajectories of individual walkers to be considered, we first discuss the determination of future directions of QWRWs, through which the effect of linear spreading and localization is manifested in another way.

In this paper, we examine the concept of a quantum-walk-replicating random walk, which we call QWRW. A A quantum walk (QW) is often explained as the counterpart of the classical random walk (RW) [1–3].

In this section, we present quantum-walk-replicating random walk (QWRW). First, we de ne the two-state quantum walk that QWRW is based on. Second, we describe the way of constructing the QWRW. In this study, we limit the target to Z. We then show that the probability distribution of …

In this paper, we highlight the directivity of one-dimensional discrete quantum walks via QWRWs. By exploiting the fact that QWRW allows trajectories of individual walkers to be considered, we first discuss the determination of future directions of QWRWs, through which the effect of linear spreading and localization is manifested in another way.

2022年10月29日 · In this paper, we highlight the directivity of one-dimensional discrete quantum walks via QWRWs. By exploiting the fact that QWRW allows trajectories of individual walkers to be considered, we...

Before defining the skeleton structure, we introduce the quantum-walk-replicating random walk (QWRW) [24]. ... In this paper we claim that a common underlying structure-a skeleton structure-is...

Before defining the skeleton structure, we introduce the quantum-walk-replicating random walk (QWRW) [24]. ... In this paper we claim that a common underlying structure-a skeleton structure-is...

2023年1月31日 · In this paper, we claim that a common underlying structure—a skeleton structure—is present behind discrete-time quantum walks (QWs) on a one-dimensional lattice with a homogeneous coin matrix. This skeleton structure is independent of the initial state, and partially, even of the coin matrix.

In this paper, we construct one-dimensional random walks derived by the time evolution of quantum walks and prove that the probability distribution of the original quantum walk and that of the corresponding quantum-walk- replicating random walk is equivalent.

Quantum walks (QWs) exhibit different properties compared with classical random walks (RWs), most notably by linear spreading and localization. In the meantime, random walks that replicate quantum walks, which we refer to as quantum-walk-replicating ...