Abstract

Recently, utilizing three Bell states as quantum channel, Zhou et al. (Int. J. Quantum Inf. 16, 1850042, 2018) presented a novel scheme for bidirectionally teleporting quantum operations. However, their scheme is unsuccessful. To be exact, it actually only realized bidirectional quantum state teleportation other than quantum operation teleportation they claimed. In this paper, we propose an optimized scheme using the same three Bell States. Compared with that of Zhou et al., our scheme can not only realize the real bidirectional quantum operation teleportation, but also be more lower in the terms of complexity of the necessary operations. Additionally, the status of two users in our scheme is equal.

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