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The cost of quantum locality
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences ( IF 3.5 ) Pub Date : 2021-02-24 , DOI: 10.1098/rspa.2020.0602
C A Bédard 1
Affiliation  

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.



中文翻译:

量子局部性的代价

自从 Deutsch 和 Hayden 证明量子系统可以在本地完全描述——尽管有贝尔定理,已经 20 多年了。最近,Raymond-Robichaud 提出了另外两种方法来得出相同的结论。在本文中,所有这些局部描述量子系统的方法都被证明是形式上等价的。然后通过它们的下划线空间的维度来量化这种描述的成本。单个量子比特的局部描述的自由度数量随着被视为全局系统的量子比特总数呈指数增长。尽管如此,在一个大宇宙中描述这样一个小系统的成本显然是不合理的,但事实证明这是意料之中的。最后,研究了补充通用波函数的结构。

更新日期:2021-02-24
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