Controlling quantum random walk with a step-dependent coin
We report on the possibility of controlling quantum random walks (QWs) with a step-dependent coin (SDC). The coin is characterized by a (single) rotation angle. Considering different rotation angles, one can find diverse probability distributions for this walk including: complete localization, Gauss...
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| Veröffentlicht in: | New journal of physics 2018-08, Vol.20 (8), p.83028 |
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| creator | Panahiyan, S Fritzsche, S |
| description | We report on the possibility of controlling quantum random walks (QWs) with a step-dependent coin (SDC). The coin is characterized by a (single) rotation angle. Considering different rotation angles, one can find diverse probability distributions for this walk including: complete localization, Gaussian and asymmetric likes. In addition, we explore the entropy of walk in two contexts; for probability density distributions over position space and walker's internal degrees of freedom space (coin space). We show that entropy of position space can decrease for a SDC with the step-number, quite in contrast to a walk with step-independent coin (SIC). For entropy of coin space, a damped oscillation is found for walk with SIC while for a SDC case, the behavior of entropy depends on rotation angle. In general, we demonstrate that quantum walks with simple initiatives may exhibit a quite complex and varying behavior if SDCs are applied. This provides the possibility of controlling QW with a SDC. |
| doi_str_mv | 10.1088/1367-2630/aad899 |
| format | Article |
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| subjects | Entropy Physics quantum information processing quantum random walk Random walk Random walk theory Rotation Shannon entropy |
| title | Controlling quantum random walk with a step-dependent coin |
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