Enhancing the performance of the measurement-device-independent quantum key distribution with heralded pair-coherent sources

• Implement the heralded pair-coherent source into the measurement-device-independent quantum key distribution.
• Overcome many shortcomings existing in current schemes and show excellent behavior.
• Obtain quite high key generation rate even when taking statistical fluctuation into account.

In this paper, we propose to implement the heralded pair-coherent source into the measurement-device-independent quantum key distribution. By comparing its performance with other existing schemes, we demonstrate that our new scheme can overcome many shortcomings existing in current schemes, and show excellent behavior in the quantum key distribution. Moreover, even when taking the statistical fluctuation into account, we can still obtain quite high key generation rate at very long transmission distance by using our new scheme.