Entanglement of Bell Diagonal States Induced by Quantum Channels

Bell states are special sets of entangled states that serve as a foundation for the corresponding Hilbert space. Being the maximally entangled states, they have significant importance in the field of quantum information theory. Among the mixed two-qubit state space, a highly intriguing limited class of states is the Bell diagonal states. Despite their inherent simplicity, Bell diagonal states exhibits a diverse range of correlations. In this paper, we explore the behaviour of Bell diagonal states under different quantum channels to pursue the geometrical illustration of quantum correlations leading to the entanglement. We propose the convex combination of distinct Bell states to prepare the Bell diagonal states. The whole class of Bell diagonal states is generated and entanglement is simulated throughout each parameter space and compared to the theory.