Fidelity of teleportation in presence of noise with and without memory effects

Vivek Balasaheb Sabale, Atul Kumar, Subhashish Banerjee

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.

Yunchao Li, Zhiwen Mo, Shu-qin Sun

Safa Jami

Entanglement is a key resource in many quantum information applications. One of these applications is quantum teleportation.The purpose of teleportation is sending qubits across quantum channels. In general these quantum channels are noisy and therefore limit the fidelity of transmission.In this paper we consider the effect of noise on teleportation and finally find the fidelity of teleportation in presence of noise.

Tanumoy Pramanik, A. S. Majumdar

Diego G. Bussandri, M. Portesi, A. P. Majtey

Xueyuan Hu, Ying Gu, Qihuang Gong +1 more

We investigate the effect of noise on a class of four-qubit entangled channels for two-qubit teleportation from Alice to Bob. These entangled channels include both parallel Bell pairs and inseparable channels with genuine multipartite entanglement. For the situation where only Bob's share of the entangled channel is subject to decoherence, we show by deriving a general expression for the teleported state that teleportation using noisy inseparable channels is equivalent to teleportation using noisy Bell pairs. When Alice's qubits are also subject to noise, we find that the inseparable channels never give a higher teleportation fidelity than Bell pairs, even in the presence of collective noise. Our results can shed some light on practical two-qubit teleportation.