Quantum secret sharing is an important branch of quantum cryptography. In this paper, we firstly propose a simple four-party quantum secret sharing scheme with entangled states. Since the noisy channel has a great influence on the shared quantum secret, we analyze the impact of the noisy channel on quantum secret sharing and obtain the expression among the fidelity, noisy coefficient and shared quantum state coefficients. To enhance the fidelity of the shared secret, we use the weak measurement method to protect the scheme in noisy environment. Furthermore, we analyze the fidelity between the obtained secret and the initial one after the amplitude damped channel. Finally, we take the concrete quantum state as an example to compare with the original way and find that the weak measurement method has a certain significance to improve the fidelity of the secret state in the scheme.

中文翻译：

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通过弱测量提高量子秘密共享的保真度

量子秘密共享是量子密码学的重要分支。在本文中，我们首先提出了一种简单的纠缠四方量子秘密共享方案。由于噪声通道对共享量子秘密有很大的影响，因此我们分析了噪声通道对量子秘密共享的影响，并获得了保真度，噪声系数和共享量子态系数之间的表达式。为了提高共享密钥的保真度，我们使用弱测量方法在嘈杂的环境中保护该方案。此外，我们分析了获得的秘密和振幅衰减通道之后的初始秘密之间的保真度。最后，