Boosting coherence-based protocols with correlated catalysts

We explore the potential impact of the recently introduced correlated approximate catalytic procedure on quantum information processing tasks, particularly focusing on phase and subchannel discrimination protocols. Our findings reveal that the correlated catalyst substantially enhances the efficiency of these protocols, thus improving the reliability of message decoding and information transmission in the context of phase discrimination and subchannel discrimination problem. In addition, we introduce fidelity of modified bipartite coherence swapping protocol. Empowered by the correlated catalyst, we are able to increase the fidelity of the coherence swapping protocol.