Multiple uncertainty relation for accelerated quantum information

• URL: http://arxiv.org/abs/2004.09736v5
• Date: Mon, 16 Nov 2020 06:29:58 GMT
• Title: Multiple uncertainty relation for accelerated quantum information
• Authors: Chen Qian, Ya-Dong Wu, Jia-Wei Ji, Yunlong Xiao and Barry C. Sanders
• Abstract summary: We demonstrate a relativistic protocol of an uncertainty game in the presence of localized fermionic quantum fields inside cavities. A novel lower bound for entropic uncertainty relations with multiple quantum memories is given in terms of the Holevo quantity.
• Score: 8.598192865991367
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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