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Single-System-Based Generation of Certified Randomness Using Leggett-Garg Inequality.

Pingal Pratyush Nath1, Debashis Saha2, Dipankar Home3

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We demonstrate a secure quantum random number generator using Leggett-Garg inequality violations. This method generates over 919,000 truly unpredictable bits per second, enhancing secure communication.

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Area of Science:

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

Background:

  • Quantum random number generation (QRNG) is crucial for secure communications.
  • Existing QRNG protocols often require trusted devices or complex setups.
  • Semi-device-independent (SDI) protocols offer enhanced security by reducing device trust.

Purpose of the Study:

  • To develop and experimentally demonstrate a secure semi-device-independent quantum random number generation (SDI-QRNG) scheme.
  • To utilize Leggett-Garg inequality (LGI) violations for robust randomness quantification.
  • To establish a loophole-free experimental platform for practical QRNG.

Main Methods:

  • Theoretical formulation of an SDI-QRNG protocol based on LGI violations.
  • Experimental implementation using a loophole-free photonic architecture.
  • Rigorous estimation of randomness quality using analytical and numerical methods.

Main Results:

  • Successful demonstration of a secure SDI-QRNG scheme.
  • Generation of 919,118 truly unpredictable random bits.
  • Achieved a high generation rate of 3865 bits/sec.
  • Analytical and numerical randomness estimations showed perfect agreement.

Conclusions:

  • The study presents a novel and secure method for QRNG.
  • The loophole-free photonic architecture ensures high security and reliability.
  • This work paves the way for practical and empirically convenient quantum random number generators.