论文标题
量子计算和等效原理的一致性
Consistency of quantum computation and the equivalence principle
论文作者
论文摘要
等效原理是一般相对性的基础之一，似乎对于分析重力中的量子效应也至关重要。在本文中，我们考虑了等效原理是否必须保持在重力场中执行量子计算的一致性。我们提出了一个分析，其循环进化，该分析包括重力场和加速参考框架中的步骤。我们表明，如果没有对等原则，循环量子进化就不能统一并失去其一致性。为此，对等效原理是根据规格变换而提出的，并分析了与循环路径上的作用相关的适当阶段的粒子。因此，要保持重力场中量子操作的一致性，需要保持等效原理的某些量子变体。这证明了该基本引力原理的量子信息处理的量化版本的重要性。
The equivalence principle, being one of the building blocks of general relativity, seems to be also crucial for analysis of quantum effects in gravity. In this paper we consider the question if the equivalence principle has to hold for consistency of performing quantum computation 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 phases associated with the actions over the looped path. In consequence, to keep consistency of quantum operations in gravitational field, it is required to keep some quantum variant of the equivalence principle. This proves importance of the quantized versions of this fundamental gravitational principle for quantum information processing.
