Toward Realization of Universal Quantum Teleportation Using Weak Measurements

Abstract

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.

Protecting quantum correlations of negative quantum states using weak measurement under non-Markovian noise

“…This is corroborated by figure 13. The WM and QMR also minimize the fidelity deviation of non-maximally entangled two-qubit states, consistent with [61]. We discuss these criteria below in conjunction with our results.…”

“…For this, quantum measurements, i. e. , weak measurement (WM), and quantum measurement reversal (QMR) have been used. The WM extracts information from the system without causing it to collapse into an eigenstate, unlike the conventional von Neumann measurement [52][53][54][55][56][57][58][59][60][61]. A proper QMR can reconstruct the state with a certain probability, also called the success probability [62,63].…”

“…In this paper, in order to find suitable two-qubit states, apart from the Bell states, for universal quantum teleportation, we study the impact of weak measurement (WM) and quantum measurement reversal (QMR) [54][55][56][57][58]61] on the quantum correlations [15][16][17][18][19][20][21][22][23][24] and UQT requirements [13,14,28,29] of the negative quantum states of two-qubit systems proposed in [67]. The influence of both non-Markovian non-unital (specified by non-Markovian amplitude damping (AD)) and unital (specified by non-Markovian random telegraph noise (RTN)) channels are taken into consideration.…”