Recently, Wang et al. put forward a high-capacity three-party quantum secret sharing (QSS) protocol with single photons in both the polarization and the spatial-mode degrees of freedom (Int J Theor Phys (2013) 52:1043–1051). In this paper, the communication capacity of Wang et al.’s QSS protocol is improved by providing more composite unitary operations for Alice’s encoding. Compared with Wang et al.’s QSS protocol, the improved protocol doubles the communication capacity of the photon for sharing Alice’s secret bits. The improved protocol only needs two-qubit single-photon states in both the polarization and the spatial-mode degrees of freedom and single-photon measurements. Compared with the QSS protocols based on entangled states and entangled state measurements, the improved protocol is more feasible.

中文翻译：

---

单光子在偏振和空间模式自由度方面的高容量三方量子秘密共享的改进

最近，王等人。提出了一种高容量的三方量子秘密共享 (QSS) 协议，在偏振和空间模式自由度中具有单光子 (Int J Theor Phys (2013) 52:1043–1051)。在本文中，Wang 等人的 QSS 协议的通信能力通过为 Alice 的编码提供更多的复合酉运算来提高。与Wang 等人的QSS 协议相比，改进后的协议使共享Alice 秘密位的光子通信容量增加了一倍。改进后的协议只需要偏振和空间模式自由度和单光子测量中的双量子位单光子状态。与基于纠缠态和纠缠态测量的QSS协议相比，改进后的协议更具可行性。