Conditions on separability in multiqubit systems with an accelerating qubit using a conditional entropy

The separability in multiqubit pure and mixed GHZ and W states with an accelerating qubit has been characterized using Abe Rajagopal (AR) q-conditional entropy. We observe that the pure multiqubit GHZ and W states in the inertial : non-inertial bipartition with one of their qubits being accelerated will remain non-separable irrespective of the qubit's acceleration. In these systems, we effectively captured the variation of their non-separability with respect to the acceleration of the qubit and the AR q-conditional entropy parameter q. However, in the corresponding multiqubit mixed states obtained by introducing a noise to the above pure states, one could get stronger conditions on their separability in the inertial : non-inertial bipartition, in terms of the mixing parameter, acceleration of the qubit and the number of qubits in the system, in the asymptotic limit of parameter q. These conditions obtained from AR q-conditional entropy serves as a necessary conditions for separability in such multiqubit states with a relativistic qubit.