Abstract:

Fusing the ideas of remote quantum control and bidirectional controlled quantum state teleportation, a concept of Controlled Bidirectional Remote Quantum Control（CBRQC） is proposed. Concretely, by employing five-qubit entanglements, two CBRQC protocols are proposed for implementing arbitrary single-qubit operation pair. These two schemes are probabilistic, and in the first scheme increasing some local Pauli operations will cause both this scheme success probability and its intrinsic efficiency to be doubled. As for teleporting the restricted sets of operations by two-way, two deterministic schemes are put forward, one of which is overall more optimal than the others, and both the schemes success probability and their efficiency can be drastically increased. This paper compares these schemes from five different aspects of quantum and classical resource consumption, necessary-operation complexity, success probability and intrinsic efficiency. This paper illustrates the reasons for choosing quantum channels, and points out that these schemes are secure. Moreover, the experimental feasibility of these schemes are confirmed with respect to the nowadays techniques.

Key words: controlled bidirectional remote quantum control, five-qubit cluster state, restricted sets of unitary operations, success probability, efficiency

摘要：

融合远程量子控制与双向受控隐形传态的思想，率先提出了受控双向远程控制（CBRQC）的一个概念。利用五量子纠缠，提出执行任意单量子算子对的两个CBRQC方案。这两个方案是概率的，而在第一个方案中，增加局域Pauli算子将导致该方案成功概率和内在效率都翻倍。对于双向传送算子的限制集，两个确定的方案被提出，其中一个总体优于其他方案，并且这两个方案的成功概率和效率都可大大提高。从量子及经典资源消耗、必要的操作复杂性、成功概率和内在效率五个方面对这些方案进行了比较，阐明了选择量子通道的原因，指出提出的方案是安全的，并说明了在现有技术的分析下该方案的实验可行性。

关键词: 受控双向远程量子控制, 五量子团簇态, 酉算子限制集, 成功概率, 效率