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Novel pseudo-random number generator based on quantum random walks.

Yu-Guang Yang1,2,3,4, Qian-Qian Zhao1

  • 1College of Computer Science and Technology, Beijing University of Technology, Beijing, 100124, China.

Scientific Reports
|February 5, 2016
PubMed
Summary
This summary is machine-generated.

Researchers developed a new pseudo-random number generator (PRNG) using quantum random walks (QRWs). This novel quantum computation approach offers faster generation and superior statistical properties compared to existing methods.

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Area of Science:

  • Quantum Information Science
  • Computational Mathematics
  • Cryptography

Background:

  • Pseudo-random number generators (PRNGs) are crucial for simulations and cryptography.
  • Existing PRNGs face challenges in statistical quality and computational efficiency.
  • Quantum computation offers novel approaches to address these limitations.

Purpose of the Study:

  • To investigate quantum computation for PRNG construction.
  • To develop a novel PRNG based on quantum random walks (QRWs).
  • To evaluate the statistical performance of the proposed QRWs-based PRNG.

Main Methods:

  • The study utilizes the mathematical framework of quantum random walks (QRWs).
  • A new PRNG algorithm is designed based on QRW equations.
  • The proposed PRNG undergoes rigorous statistical testing, including NIST.
  • Performance is benchmarked against PRNGs based on quantum chaotic maps (QCM).

Main Results:

  • The QRWs-based PRNG demonstrated simple generation algorithms and fast computation speeds.
  • The PRNG successfully passed stringent NIST statistical tests.
  • Compared to QCM-based PRNGs, the QRWs-based PRNG exhibits superior statistical complexity and recurrence.
  • Specifically, higher normalized Shannon entropy (0.999699456771172) and lower statistical complexity (1.799961178212329e-04) were observed.

Conclusions:

  • The developed QRWs-based PRNG is a viable and efficient alternative for generating high-quality pseudo-random numbers.
  • This work provides a new avenue for constructing PRNGs using quantum computation.
  • The findings extend the practical applications of quantum random walks.