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The Wald-Wolfowitz runs test, commonly referred to as the runs test, is a nonparametric test used to assess the randomness of ordered data. The test evaluates the number of runs, which are consecutive sequences of similar elements within the data. If the number of runs is significantly higher or lower than expected, the data is considered non-random, indicating a detectable pattern or structure.
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Advanced Statistical Testing of Quantum Random Number Generators.

Aldo C Martínez1, Aldo Solis2, Rafael Díaz Hernández Rojas3

  • 1Department of Physics, Center for Research in Photonics, University of Ottawa, 25 Templeton St, Ottawa, ON K1N 6N5, Canada.

Entropy (Basel, Switzerland)
|December 3, 2020
PubMed
Summary
This summary is machine-generated.

Quantum mechanics offers a path to true randomness, overcoming limitations of pseudo-random number generators. This study presents a simple method for generating maximally random sequences, addressing challenges in quantum random number generator implementations.

Keywords:
Bayesian inferenceBell inequalitiesBorel normalityalgorithmic complexitymodel selectionrandom numbers

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Area of Science:

  • Quantum physics
  • Information science
  • Cryptography

Background:

  • Pseudo-random number generators (PRNGs) are deterministic and unsuitable for security applications.
  • Quantum mechanics offers a source of true non-deterministic random numbers.
  • Existing quantum random number generators (QRNGs) face challenges in passing randomness tests.

Purpose of the Study:

  • To review randomness tests for QRNGs.
  • To highlight experimental challenges in QRNG implementation.
  • To present a novel, simple method for generating maximally random sequences.

Main Methods:

  • Discussion of two specific randomness tests.
  • Analysis of experimental implementation challenges for QRNGs.
  • Development of a simple quantum-based random number generation method.

Main Results:

  • Identified key challenges in experimental QRNGs.
  • Successfully generated non-deterministic, maximally random sequences.
  • Demonstrated a practical approach to quantum randomness.

Conclusions:

  • Quantum mechanics provides a viable source for true random number generation.
  • The presented method offers a simple and effective solution for QRNGs.
  • This work advances the field of secure and scientifically rigorous random number generation.