论文标题
加速量子信息的多重不确定性关系
Multiple uncertainty relation for accelerated quantum information
论文作者
论文摘要
海森伯格首先在惯性框架中引入的不确定性原理显然将量子理论与经典力学区分开。在非惯性框架中，它的信息理论表达（即熵不确定性关系）通过离域量子场进行了广泛的研究，并讨论了量子场的定位。但是，由于测量设备的有限尺寸，无法解释的测量量的量子场应用于离域的量子场的不可行性。因此，揭示熵不确定性关系的量子协议的物理澄清仍然需要调查。在熵不确定性关系中的量子场理论和理论发展的基础上，我们证明了不确定性游戏的相对论方案，在存在腔体内的局部费米子量子场的情况下。此外，熵不确定性关系与多个量子记忆的一种新颖的下限是根据孔隙数量给出的，这意味着加速度如何影响不确定性关系。
The uncertainty principle, first introduced by Heisenberg in inertial frames, clearly distinguishes quantum theories from classical mechanics. In non-inertial frames, its information-theoretic expressions, namely entropic uncertainty relations, have been extensively studied through delocalized quantum fields, and localization of the quantum fields were discussed as well. However, infeasibility of measurements applied on a delocalized quantum field due to the finite size of measurement apparatuses is left unexplained. Therefore, physical clarification of a quantum protocol revealing entropic uncertainty relations still needs investigation. Building on advances in quantum field theories and theoretical developments in entropic uncertainty relations, we demonstrate a relativistic protocol of an uncertainty game in the presence of localized fermionic quantum fields inside cavities. Moreover, a novel lower bound for entropic uncertainty relations with multiple quantum memories is given in terms of the Holevo quantity, which implies how acceleration affects uncertainty relations.
