Multiple uncertainty relation for accelerated quantum information

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. However, measurements are infeasible on a delocalized quantum field, as field excitations could be created anywhere in spacetime. Building on advances in quantum field theories and theoretical developments in quantum memories, we demonstrate the uncertainty principle in the presence of localized fermionic quantum fields inside cavities. Here bounds for entropic uncertainty relations in localized fermionic quantum fields are given in terms of the Holevo quantity, which immediately implies how acceleration of agents affects the monogamy of entanglement in tripartite systems.