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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