Bilateral fault-tolerant qudit teleportation in multi-hop quantum networks

Abstract

In this paper, we present one general fault-tolerant multi-hop teleportation scheme for arbitrary unknown qudit system, exploring a strategy for distilling high-dimensional EPR pairs within the operational errors channel, where the introduced auxiliary pairs don’t have to be in high-fidelity. These errors can be detectable and traceable in quantum networks, promising that the accumulation of the operational errors can be rectified by the final receiver during the teleportation, avoiding the error correction implemented by the intermediate nodes. Moreover, we extend the strategy to the non-maximally entangled EPR channels. In the end, we discuss the potential strategy to improve our scheme including eliminating the encoding step for the error correction codes. Even through the operational errors may occur at the repeater nodes, the performance analysis demonstrates that the scheme significantly preserves the valuable entangled resources and reduces the operational complexity, illustrating the robustness to against the operational errors in repeater nodes.