Continuous Variable Quantum Secret Sharing with Chinese Remainder Theorem

Motivated by the structure characteristics of Chinese Remainder Theorem(CRT), a continuous variable quantum secret sharing scheme is proposed to ensure the security of the network-based communication system. The initial secret is decomposed and recovered by solving the equations of CRT which provides various threshold structures to enhance the universality, flexibility and practicability of the scheme. The shares are encoded to two-mode squeezed vacuum state by displacement operation for secret distributing. Compared with the discrete variable quantum secret sharing, this scheme can increase the transmission capacity due to the improved data-processing for quantum state generation, manipulation, and detection. The security analysis is elucidated by calculating the bit error rates(BERs) under different conditions and it demonstrates that the scheme has the capability to protect secrets from eavesdropping of dishonest players no matter with the channel transmission efficiency.