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Quantum Secure Multi-Party Summation with Graph State.

Yaohua Lu1, Gangyi Ding1

  • 1School of Computer Science and Technology, Beijing Institute of Technology, Beijing 100081, China.

Entropy (Basel, Switzerland)
|January 22, 2024
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Summary
This summary is machine-generated.

This study introduces a new quantum secure multi-party summation (QSMS) protocol using graph states. It enhances security and flexibility for quantum secure multi-party computation (QSMC) without needing decoy bits.

Keywords:
quantum cryptographyquantum graph statequantum secure multi-party summation

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Area of Science:

  • Quantum Information Science
  • Quantum Cryptography
  • Quantum Computing

Background:

  • Quantum secure multi-party summation (QSMS) is crucial for secure data aggregation in quantum secure multi-party computation (QSMC).
  • Existing QSMS protocols face challenges in security, usability, and flexibility.
  • Graph states offer unique structural properties for quantum information processing.

Purpose of the Study:

  • To propose a novel QSMS protocol utilizing quantum graph states.
  • To enhance security, usability, and flexibility in multi-party computations.
  • To enable eavesdropper and noise detection without decoy bits.

Main Methods:

  • Development of a QSMS protocol based on graph states.
  • Implementation of random graph state structures and random encryption gates for enhanced security.
  • Utilization of graph state stabilizers for eavesdropping and noise detection.
  • Formal security and correctness proofs.
  • Experimental verification of the protocol's security and practicality.

Main Results:

  • The proposed protocol demonstrates enhanced security through random graph states and encryption.
  • Eavesdroppers and channel noise can be detected using graph state stabilizers, eliminating the need for decoy bits.
  • The protocol supports dynamic participant management (addition/deletion), offering high flexibility.
  • Experimental results confirm the protocol's security, effectiveness, and practicality.

Conclusions:

  • The graph state-based QSMS protocol offers a significant advancement in QSMC.
  • This approach provides a secure, flexible, and efficient solution for multi-party computations.
  • Quantum graph state technology presents promising avenues for future QSMC development.