Relativistic entropic uncertainty lower bound

The uncertainty principle sets a lower bound on the uncertainties of two incompatible measurement. In quantum information theory, this principle is expressed in terms of entropic measures. In relativistic uncertainty game Alice and Bob agree on two observables, and Bob prepares a particle constructed from the free fermionic mode in the quantum state and sends it to Alice, after sending, Bob begins to move with an acceleration , then Alice does a measurement on her particle and announces her choice to Bob, whose task is then to minimize the uncertainty about the measurement outcomes. we will have an inevitable increase in the uncertainty of the Alic s measurement outcome due to information loss which was stored initially in B.