Toward Realization of Universal Quantum Teleportation Using Weak Measurements

In this manuscript, universal quantum teleportation in the presence of memory or memory-less dynamics with applications of partial collapse measurement operators is analyzed. These results show that the combined effects of memory or non-Markovianity, and weak measurements can lead to universal quantum teleportation (UQT). This study involves noise models of physical importance having characteristic Markovian and non-Markovian regions, allowing one to observe a transition in quantum properties as one switches from non-Markovian to Markovian dynamics. For this, the effects of different types of non-Markovianity are characterized for efficient UQT, both due to the retention of correlations for a longer duration and due to information backflow. The memory effects arising from a correlated channel with or without weak measurements are analyzed further. Interestingly, this analysis for a correlated amplitude damping channel shows that memory effects are of significant advantage in minimizing the fidelity deviation. The presence of weak measurements further enhances the realization of UQT in the presence of memory. The ability of memory effects to achieve zero fidelity deviation at non-zero time is interesting and of experimental importance.