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Randomness Certification from Multipartite Quantum Steering for Arbitrary Dimensional Systems.

Yi Li1,2, Yu Xiang1,3, Xiao-Dong Yu4

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Multipartite entanglement enhances secure random number generation for cryptography and simulations. This method offers greater security against eavesdroppers compared to bipartite systems, even certifying randomness among untrusted parties.

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Area of Science:

  • Quantum Information Science
  • Cryptography
  • Quantum Computing

Background:

  • Bipartite entanglement is utilized for secure random number generation in cryptography and scientific simulations.
  • Existing methods face limitations in security and dimensionality.

Purpose of the Study:

  • To propose and analyze a novel method for generating secure random numbers using multipartite entanglement.
  • To enhance security and arbitrary dimensionality in random number generation.

Main Methods:

  • Utilizing multipartite entanglement distributed among trusted and untrusted parties.
  • Analyzing the security implications of distributed entanglement against eavesdropping.
  • Investigating the role of quantum steering in randomness generation.

Main Results:

  • Multipartite entanglement provides enhanced security against eavesdroppers compared to bipartite systems.
  • Randomness can be certified within a group of untrusted parties, even individually lacking randomness.
  • Multipartite quantum steering is proven necessary and sufficient for randomness with two measurement settings.

Conclusions:

  • The proposed multipartite entanglement approach offers a more secure and versatile method for random number generation.
  • The findings have implications for advancing secure communication and complex scientific simulations.
  • The study highlights the potential of quantum steering in certifying randomness.