论文标题

量子力学的四个假设是三个

The four postulates of quantum mechanics are three

论文作者

Carcassi, Gabriele, Maccone, Lorenzo, Aidala, Christine A.

论文摘要

量子力学的张量产品指出,复合系统的希尔伯特空间是组件的希尔伯特空间的张量产物。所有不包含此假设的量子力学的当前形式化都包含一些等效的假设或假设(有时是隐藏的)。在这里,我们将复合系统的自然定义作为包含组件系统的集合,并展示人们如何从状态假设和测量假设中从逻辑上得出张量的产品规则。换句话说,我们的论文减少了量子力学所需的假设数量。

The tensor product postulate of quantum mechanics states that the Hilbert space of a composite system is the tensor product of the components' Hilbert spaces. All current formalizations of quantum mechanics that do not contain this postulate contain some equivalent postulate or assumption (sometimes hidden). Here we give a natural definition of composite system as a set containing the component systems and show how one can logically derive the tensor product rule from the state postulate and from the measurement postulate. In other words, our paper reduces by one the number of postulates necessary to quantum mechanics.

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