Tian Yuehan, Cai Dunbo, Gong Nengfei, Li Yining, Qian Ling, Zhang Runqing, Huang Zhiguo, Wang Tiejun
State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China.
School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China.
Entropy (Basel). 2024 Nov 25;26(12):1017. doi: 10.3390/e26121017.
Controlled quantum teleportation is an important extension of multipartite quantum teleportation, which plays an indispensable role in building quantum networks. Compared with discrete variable counterparts, continuous variable controlled quantum teleportation can generate entanglement deterministically and exhibit higher superiority of the supervisor's authority. Here, we define a measure to quantify the control power in continuous variable controlled quantum teleportation via Greenberger-Horne-Zeilinger-type entangled coherent state channels. Our results show that control power in continuous variable controlled quantum teleportation increases with the mean photon number of coherent states. Its upper bound is 1/2, which exceeds the upper bound in discrete variable controlled quantum teleportation (1/3). The robustness of the protocol is analyzed with photon absorption. The results show that the improving ability of the control power will descend by the increasing photon loss, with the upper bound unchanged and robust. Our results illuminate the role of control power in multipartite continuous variable quantum information processing and provide a criterion for evaluating the quality of quantum communication networks.
受控量子隐形传态是多体量子隐形传态的重要扩展，在构建量子网络中发挥着不可或缺的作用。与离散变量对应物相比，连续变量受控量子隐形传态可以确定性地产生纠缠，并展现出更高的监管者权限优势。在此，我们定义一种度量，通过格林伯格 - 霍恩 - 蔡林格型纠缠相干态信道来量化连续变量受控量子隐形传态中的控制能力。我们的结果表明，连续变量受控量子隐形传态中的控制能力随相干态的平均光子数增加而增大。其上限为(1/2)，超过了离散变量受控量子隐形传态中的上限（(1/3)）。通过光子吸收对该协议的稳健性进行了分析。结果表明，随着光子损失的增加，控制能力的提升能力会下降，而上限不变且稳健。我们的结果阐明了控制能力在多体连续变量量子信息处理中的作用，并为评估量子通信网络的质量提供了一个标准。
