<p>The unpredictability of random numbers is fundamental to both digital security<sup><CitationRef CitationID="CR1">1</CitationRef>,<CitationRef CitationID="CR2">2</CitationRef></sup> and applications that fairly distribute resources<sup><CitationRef CitationID="CR3">3</CitationRef>,<CitationRef CitationID="CR4">4</CitationRef></sup>. However, existing random number generators have limitations—the generation processes cannot be fully traced, audited and certified to be unpredictable. The algorithmic steps used in pseudorandom number generators<sup><CitationRef CitationID="CR5">5</CitationRef></sup> are auditable, but they cannot guarantee that their outputs were a priori unpredictable given knowledge of the initial seed. Device-independent quantum random number generators<sup><CitationRef AdditionalCitationIDS="CR7 CR8" CitationID="CR6">6</CitationRef>–<CitationRef CitationID="CR9">9</CitationRef></sup> can ensure that the source of randomness was unknown beforehand, but the steps used to extract the randomness are vulnerable to tampering. Here we demonstrate a fully traceable random number generation protocol based on device-independent techniques. Our protocol extracts randomness from unpredictable non-local quantum correlations, and uses distributed intertwined hash chains to cryptographically trace and verify the extraction process. This protocol forms the basis for a public traceable and certifiable quantum randomness beacon that we have launched<sup><CitationRef CitationID="CR10">10</CitationRef></sup>. Over the first 40 days of operation, we completed the protocol 7,434 out of 7,454 attempts—a success rate of 99.7%. Each time the protocol succeeded, the beacon emitted a pulse of 512 bits of traceable randomness. The bits are certified to be uniform with error multiplied by actual success probability bounded by 2<sup>−64</sup>. The generation of certifiable and traceable randomness represents a public service that operates with an entanglement-derived advantage over comparable classical approaches.</p>

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Traceable random numbers from a non-local quantum advantage

  • Gautam A. Kavuri,
  • Jasper Palfree,
  • Dileep V. Reddy,
  • Yanbao Zhang,
  • Joshua C. Bienfang,
  • Michael D. Mazurek,
  • Mohammad A. Alhejji,
  • Aliza U. Siddiqui,
  • Joseph M. Cavanagh,
  • Aagam Dalal,
  • Carlos Abellán,
  • Waldimar Amaya,
  • Morgan W. Mitchell,
  • Katherine E. Stange,
  • Paul D. Beale,
  • Luís T. A. N. Brandão,
  • Harold Booth,
  • René Peralta,
  • Sae Woo Nam,
  • Richard P. Mirin,
  • Martin J. Stevens,
  • Emanuel Knill,
  • Lynden K. Shalm

摘要

The unpredictability of random numbers is fundamental to both digital security1,2 and applications that fairly distribute resources3,4. However, existing random number generators have limitations—the generation processes cannot be fully traced, audited and certified to be unpredictable. The algorithmic steps used in pseudorandom number generators5 are auditable, but they cannot guarantee that their outputs were a priori unpredictable given knowledge of the initial seed. Device-independent quantum random number generators69 can ensure that the source of randomness was unknown beforehand, but the steps used to extract the randomness are vulnerable to tampering. Here we demonstrate a fully traceable random number generation protocol based on device-independent techniques. Our protocol extracts randomness from unpredictable non-local quantum correlations, and uses distributed intertwined hash chains to cryptographically trace and verify the extraction process. This protocol forms the basis for a public traceable and certifiable quantum randomness beacon that we have launched10. Over the first 40 days of operation, we completed the protocol 7,434 out of 7,454 attempts—a success rate of 99.7%. Each time the protocol succeeded, the beacon emitted a pulse of 512 bits of traceable randomness. The bits are certified to be uniform with error multiplied by actual success probability bounded by 2−64. The generation of certifiable and traceable randomness represents a public service that operates with an entanglement-derived advantage over comparable classical approaches.