量子处方在本体论上的区别大于它们在操作上的区别
Quantum prescriptions are more ontologically distinct than they are operationally distinguishable
摘要:
基于直观的概括莱布尼茨原则的“身份的不确定性”,我们引入了一个新的本体论概念的经典,称为有限的本体论的独特性。作为一个原则,有界的本体论的独特性等同于一组操作的物理实体的独特性,以他们的本体论对应。采用二维量子制剂的三个实例,我们证明了量子制剂的有界本体论独特性或过量本体论独特性的违反,而无需调用任何额外的假设。此外,我们的方法,使推理的严格下限的程度上过量的本体论的独特性的量子制剂。同样,我们证明了量子变换的过剩本体论的独特性,使用三个二维幺正变换。然而,为了证明量子测量的过度本体论独特性,需要额外的假设,例如结果决定论或制备的有界本体论独特性。此外,我们表明,量子违反其他著名的本体论原则牵连量子过剩本体论的独特性。最后,为了展示过剩本体的独特性的业务活力,我们引入了两个不同的类的通信任务供电过剩本体的独特性。
英文摘要:
Based on an intuitive generalization of the Leibniz principle of `the identity of indiscernibles', we introduce a novel ontological notion of classicality, called bounded ontological distinctness. Formulated as a principle, bounded ontological distinctness equates the distinguishability of a set of operational physical entities to the distinctness of their ontological counterparts. Employing three instances of two-dimensional quantum preparations, we demonstrate the violation of bounded ontological distinctness or excess ontological distinctness of quantum preparations, without invoking any additional assumptions. Moreover, our methodology enables the inference of tight lower bounds on the extent of excess ontological distinctness of quantum preparations. Similarly, we demonstrate excess ontological distinctness of quantum transformations, using three two-dimensional unitary transformations. However, to demonstrate excess ontological distinctness of quantum measurements, an additional assumption such as outcome determinism or bounded ontological distinctness of preparations is required. Moreover, we show that quantum violations of other well-known ontological principles implicate quantum excess ontological distinctness. Finally, to showcase the operational vitality of excess ontological distinctness, we introduce two distinct classes of communication tasks powered by excess ontological distinctness.
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