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.

中文翻译：

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三钟态优化双向量子操作隐形传态

最近，利用三个贝尔态作为量子通道，Zhou 等人。(Int. J. Quantum Inf. 16 , 1850042, 2018 ) 提出了一种双向传送量子操作的新方案。然而，他们的计划并不成功。准确的说，它实际上只实现了他们声称的量子操作隐形传态以外的双向量子态隐形传态。在本文中，我们提出了使用相同的三个贝尔状态的优化方案。与 Zhou 等人的方案相比，我们的方案不仅可以实现真正的双向量子操作隐形传态，而且在必要操作的复杂度方面也更低。此外，我们方案中两个用户的状态是平等的。