论文标题
量子本地的成本
The Cost of Quantum Locality
论文作者
论文摘要
自从Deutsch和Hayden证明量子系统可以在本地完全描述 - 尽管贝尔的定理可以完全描述量子系统以来，已有20多年的历史了。最近，雷蒙德·罗比肖（Raymond-Robichaud）提出了另外两种方法来得出相同的结论。在本文中，所有这些描述本地量子系统的方法均被正式地等效。然后，这种描述的成本通过其下划线空间的维度来量化。显示单个量子器的局部描述的自由度数量显示，其量子位总数被视为全球系统。尽管如此，这种显然是在大型宇宙中描述这样一个小系统的不合理成本。最后，研究了补充通用波函数的结构。
It has been more than 20 years since Deutsch and Hayden demonstrated that quantum systems can be completely described locally -- notwithstanding Bell's theorem. More recently, Raymond-Robichaud proposed two other approaches to the same conclusion. In this paper, all these means of describing quantum systems locally are proved formally equivalent. The cost of such descriptions is then quantified by the dimensionality of their underlining space. The number of degrees of freedom of a single qubit's local description is shown to grow exponentially with the total number of qubits considered as a global system. This apparently unreasonable cost to describe such a small system in a large Universe is nonetheless shown to be expected. Finally, structures that supplement the universal wave function are investigated.
