The physical mechanism of optimizing Bell-like states in the context of quantum state teleportation in the presence of amplitude-damping noise environment

The article investigates the physical mechanisms that optimize Bell-like states in the context of quantum state teleportation, particularly when subjected to amplitude-damping noise environments. It explores the interplay between the quantum and classical properties of mixed states and their impact on the fidelity of teleportation protocols. The study establishes a complementary relationship between the purity of the channel and the entanglement between control qubits and environment qubits, as well as induced entanglement. It also derives an analytical expression describing the dependence of the average quantum fidelity on channel purity, channel entanglement, and multiparticle entanglement. The research demonstrates that when the initial channel state is chosen as a specific Bell-like state, the optimization process for the average quantum fidelity involves first optimizing the strength of the amplitude-damping noise affecting the control qubits independently and then optimizing the initial state of the quantum channel to maximize the channel's entanglement under amplitude damping. This approach ensures that the optimal average fidelity of the teleportation protocol depends solely on the channel's entanglement, even though the channel is mixed. The study concludes that the optimal average fidelity reaches the upper bound of the quantum fidelity domain, highlighting the importance of understanding and optimizing these physical mechanisms for enhancing quantum teleportation protocols.