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The uncertainty principle is the most important feature of quantum mechanics,which can be called the heart of quantum mechanics. This principle sets a lowerbound on the uncertainties of two incompatible measurement. In quantuminformation theory, this principle is expressed in terms of entropic measures.Entropic uncertainty bound can be altered by considering a particle as aquantum memory. In this work we investigate the entropic uncertainty relationunder the relativistic motion. In relativistic uncertainty game Alice and Bobagree on two observables, $\hat{Q}$ and $\hat{R}$, Bob prepares a particleconstructed from the free fermionic mode in the quantum state and sends it toAlice, after sending, Bob begins to move with an acceleration $a$, then Alicedoes a measurement on her particle $A$ and announces her choice to Bob, whosetask is then to minimize the uncertainty about the measurement outcomes. wewill have an inevitable increase in the uncertainty of the Alic's measurementoutcome due to information loss which was stored initially in B. In this workwe look at the Unruh effect as a quantum noise and we will characterize it as aquantum channel.

the european physical journal. d, atomic, molecular and optical physics/the european physical journal. d, atomic, molecular, optical and plasma physics

Holevo bound of entropic uncertainty relation under Unruh channel in the context of open quantum systems