Abstract:
Quantum secret sharing is an important branch of quantum cryptography and quantum entanglement plays an important role to design the secret sharing protocol. However, under the influence of noise environment, it will lead to the decoherence of the quantum entangled state, and then the quality of the scheme is reduced or even failed. According to the quantum secret sharing scheme in the reference, the effect of amplitude damping channel on the scheme is studied. In order to reduce entanglement decoherence, the weak measurement is used to protect the scheme in noisy environment and analyze the fidelity between the secret by the amplitude damped channel and the initial one. In addition, a quantitative study on the coherence measure between without any means and using weak measurement methods is given. Finally, through the specific quantum state as an example, it is found that the weak measurement has certain significance to improve the fidelity and coherence of the secret state in the scheme.