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Wald-Wolfowitz Runs Test II01:17

Wald-Wolfowitz Runs Test II

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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Related Experiment Video

Updated: Jun 13, 2026

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
07:56

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

Random numbers certified by Bell's theorem.

S Pironio1, A Acín, S Massar

  • 1Laboratoire d'Information Quantique, CP 225, Université Libre de Bruxelles, Bvd Du Triomphe, 1050 Bruxelles, Belgium.

Nature
|April 16, 2010
PubMed
Summary
This summary is machine-generated.

Quantum entanglement can now certify true randomness, enabling secure random number generation without device assumptions. This breakthrough uses entangled particles and Bell inequality violations for reliable, unpredictable random numbers.

Related Experiment Videos

Last Updated: Jun 13, 2026

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
07:56

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

Area of Science:

  • Quantum Information Science
  • Quantum Cryptography
  • Foundations of Quantum Mechanics

Background:

  • Randomness is crucial for applications like cryptography and simulations, but generating truly unpredictable random numbers is challenging.
  • Existing random number generators can be unreliable due to theoretical modeling inaccuracies or device vulnerabilities.
  • Device-independent quantum information processing offers a path to overcome these limitations by relying on fundamental quantum principles.

Purpose of the Study:

  • To demonstrate that non-local correlations of entangled quantum particles can certify genuine randomness.
  • To design a cryptographically secure random number generator that is independent of the internal workings of the device.
  • To experimentally validate the theoretical proposal using entangled atoms and Bell inequality violations.

Main Methods:

  • Utilized the non-local correlations of two entangled atoms separated by approximately one meter.
  • Performed measurements to observe a violation of a Bell inequality.
  • Leveraged the Bell inequality violation to certify the presence of genuine randomness.

Main Results:

  • Achieved a Bell inequality violation with near-perfect detection efficiency.
  • Guaranteed the generation of 42 new random numbers with 99% confidence.
  • Demonstrated a proof-of-concept for device-independent randomness generation.

Conclusions:

  • Entangled quantum particles can be used to certify genuine randomness, enabling device-independent random number generation.
  • This approach offers a cryptographically secure method for generating random numbers, free from assumptions about the device's internal mechanisms.
  • The results pave the way for future device-independent quantum information experiments and address fundamental aspects of quantum randomness.