Quantum Teleportation of an Arbitrary Unknown Two-qubit State via Arbitrary High-dimensional Entangled States

Abstract

The purpose of this paper is to explore how to teleport a low-dimensional (two-dimensional) arbitrary unknown two-qubit entangled state through the high-dimensional entangled states constituting the quantum channel. Firstly, we propose a scheme for teleporting an arbitrary unknown two-qubit entangled state via two three-dimensional maximally entangled two-qutrit states as the quantum channel. In this scheme, the sender performs two non-symmetric basis measurements on his own particles, and the receiver must make relevant unitary operation against the sender’s different measurement results to recover the original unknown state. Then, the above maximally entangled quantum channel is replaced by two high-dimensional non-maximally entangled two-particle states, the arbitrary unknown two-qubit state is teleported in such a way that it can be probabilistically reconstructed through introducing auxiliary qubit and performing appropriate operations. We give the success probability of the schemes, and the analysis shows that the scheme based on non-maximally entangled channel is a generalization of the previous scheme. Furthermore, the above schemes can be directly generalized to the case of two arbitrary high-dimensional entangled two-particle states acting as the quantum channel.