An Efficient Quantum Secret Sharing Scheme Based on Restricted Threshold Access Structure

Area of Science:

• Quantum cryptography
• Quantum information science

Background:

• Quantum secret sharing is crucial for secure multi-party quantum key distribution.
• Existing schemes face challenges in security, flexibility, and resource efficiency.

Purpose of the Study:

• To propose a novel quantum secret sharing scheme.
• To implement a constrained (t, n) threshold access structure.
• To enhance security and efficiency in quantum key distribution.

Main Methods:

• Utilizing the Greenberger-Horne-Zeilinger (GHZ) state for quantum secret sharing.
• Implementing phase shift operations by participants from two distinct sets.
• Employing a (t, n) threshold access structure for key recovery.

Main Results:

• The proposed scheme demonstrates resistance to direct measurement, interception-retransmission, and entanglement measurement attacks.
• The protocol achieves enhanced security, flexibility, and efficiency compared to existing methods.
• The scheme effectively conserves quantum resources.

Conclusions:

• The developed quantum secret sharing protocol offers a more secure and efficient solution for quantum key distribution.
• This advancement contributes to the practical implementation of secure multi-party quantum communication.
• The protocol's resource efficiency makes it a promising candidate for future quantum networks.