A controlled protocol for asymmetric cyclic $(A\Rightarrow B\Rightarrow C\Rightarrow A)$ quantum state transfer between three parties

Abstract

Cyclic teleportation scheme was introduced in a recent work by Chen et al. (Quantum Inf. Process. 16: 201 (2017)). Also certain protocols for asymmetric exchange of states have appeared in some recent works. In this paper, combining the above two concepts, we design a protocol for teleporting three different states cyclically between three parties. These three states are certain single-qubit, two-qubit and three-qubit states. The protocol is overseen by a controller. The communication scheme presented here falls in the category of quantum multi-tasking in which multiple tasks are performed using a single quantum resource.