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Quantum hash function based on controlled alternate lively quantum walks.

Penglin Hou1, Tao Shang2, Yuanjing Zhang1

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This study introduces a novel quantum hash function using controlled alternate lively quantum walks. It enhances collision resistance and security by varying hash size and incorporating message-dependent hops.

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Area of Science:

  • Quantum Cryptography
  • Quantum Information Science

Background:

  • Quantum hash functions are crucial for secure quantum communication.
  • Controlled alternate quantum walks offer efficiency and flexibility in quantum cryptography.
  • Existing schemes face limitations in extensibility and parameter selection, risking periodic walks and collisions.

Purpose of the Study:

  • To propose a new quantum hash function scheme.
  • To enhance security properties like collision resistance and message sensitivity.
  • To provide selection criteria for coin operators in quantum walk-based hash functions.

Main Methods:

  • Development of a novel quantum hash function based on controlled alternate lively quantum walks.
  • Incorporation of variable hash size.
  • Message bits dynamically control long-range hops in the quantum walk.
  • Establishment of selection criteria for coin operators.

Main Results:

  • The proposed scheme demonstrates excellent collision resistance.
  • High message sensitivity, diffusion, and confusion properties were observed.
  • Uniform distribution of hash outputs confirmed.
  • Effective use of fixed coin operators with variable shift operators.

Conclusions:

  • The new quantum hash function scheme offers improved security and performance.
  • The method provides a robust approach for designing quantum hash functions.
  • This work advances the field of quantum cryptography with practical design insights.