Foundations of Science ( IF 0.9 ) Pub Date : 2023-02-10 , DOI: 10.1007/s10699-023-09899-9 Marcin Nowakowski
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The equivalence principle, being one of the building blocks of general relativity, seems to be crucial for analysis of quantum effects in gravity. In this paper we consider the relation between the equivalence principle and the consistency of quantum information processing in gravitational field. We propose an analysis with a looped evolution consisting of steps both in the gravitational field and in the accelerated reference frame. We show that without the equivalence principle the looped quantum evolution cannot be unitary and looses its consistency. For this reasoning the equivalence principle is formulated in terms of the gauge transformations and is analyzed for particles acquiring an appropriate phase associated with the action over the looped path. In consequence, to keep consistency of quantum operations in gravitational field, it is required to keep a quantum variant of the equivalence principle. This proves importance of the quantized version of this fundamental gravitational principle for quantum information processing.
中文翻译:
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量子计算的一致性和等效原理
等效原理是广义相对论的基石之一,对于分析引力中的量子效应似乎至关重要。在本文中,我们考虑等效原理与引力场中量子信息处理的一致性之间的关系。我们提出了一种循环演化分析,其中包括引力场和加速参考系中的步骤。我们证明,如果没有等效原理,环形量子演化就不可能是单一的,并且会失去其一致性。因此,等效原理是根据规范变换制定的,并针对获得与循环路径上的作用相关的适当相位的粒子进行分析。因此,为了保持引力场中量子运算的一致性,需要保留等效原理的量子变体。这证明了这一基本引力原理的量子化版本对于量子信息处理的重要性。