Quantum walks exhibit different properties compared with classical random walks, most notably by linear spreading and localization. In the meantime, random walks that replicate quantum walks, which we refer to as quantum-walk-replicating random walks, have been studied in the literature where the eventual properties of QWRW coincide with those of QWs. However, we consider that the unique attributes of QWRWs have not been fully utilized in the former studies to obtain deeper or new insights into QWs. 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. Furthermore, the transition probabilities of QWRWs can also be visualized and show a highly complex shape, representing QWs in a novel way. Moreover, we discuss the first return time to the origin between RWs and QWs, which is made possible via the notion of QWRWs. We observe that the first return time statistics of QWs are quite different from RWs, caused by both the linear spreading and localization properties of QWs. (shrink)

Der Begriff der Person wird häufig im Bereich der biomedizinischen Ethik angewandt, wie vor allem in der Abtreibungsdebatte. Es wird immer noch kontrovers darüber diskutiert, ob ein Embryo als Person anzusehen ist.Dieses Buch zeigt einerseits auf, dass der Begriff der Person keinen Beitrag zur Antwort nach dem moralischen Status eines menschlichen Wesens am Lebensbeginn leisten kann. Andererseits wird jedoch deutlich, dass dieser Begriff für den Respekt gegenüber menschlichen Wesen am Lebensende hilfreich ist. Was bedeutet Respekt vor der Autonomie von Personen (...) bei der Sterbehilfe und was bedeutet Respekt gegenüber dementen Personen, die nicht mehr autonom sind? Bei der Beantwortung dieser Fragen spielt der Begriff der Person eine entscheidende Rolle. Dieses Buch soll einen Beitrag zur Verdeutlichung der Grenzen und Gültigkeit des Begriffs der Person in der biomedizinischen Ethik leisten. (shrink)

In biomedical ethics, the concept of person plays a major role in the discussion of ethically appropriate relationships with early human beings. The debate over abortion is one such case. There is still a heated debate over whether a fetus is already a person. However, because of the structure of the argument, the debate over the moral status of the fetus quickly becomes all-or-nothing. Against this background, I would like to address the question of to what extent the concept of (...) person can be helpful in biomedical ethics. I argue that this concept is not useful for ethically appropriate interactions with early human beings, but it is useful for ethically appropriate interactions with human beings at the end of life. I demonstrate my thesis with reference to the argument about euthanasia. The concept of person plays a crucial role in understanding what it means to respect the autonomy of a person who desires euthanasia. (shrink)