What question did this study set out to answer?

This research aims to identify and correct implementation errors in NIST SP 800-22 statistical tests for quantum random number generators.

June 2, 20260 citationsOpen Access

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Correct Implementation of NIST SP 800-22 Statistical Tests for Quantum Random Number Generator Validation

WDWill DaoudUniversity of South Florida

Key Points

This research aims to identify and correct implementation errors in NIST SP 800-22 statistical tests for quantum random number generators.
Identified four implementation error classes in NIST SP 800-22 statistical tests.
Performed hardware validation on IBM superconducting qubit readout asymmetry.
Utilized a specific quantum entropy validation process.
Corrected implementations achieved a genuine 15/15 PASS on PHM quantum entropy.
IBM's qubit readout asymmetry of 0.39% caused NIST failures at 1M bits.
Readout error mitigation is necessary for certification.

Abstract

We identify four implementation error classes in NIST SP 800-22 statistical tests: (1) run-counting substituted for Berlekamp-Massey in Test 10, (2) p-value boosting in Test 12, (3) chi-squared deflation in Test 14, (4) unconditional health test passes. Corrected implementations produce genuine 15/15 PASS on PHM quantum entropy. Hardware validation reveals that IBM superconducting qubit readout asymmetry (0.39%) causes NIST failures at 1M bits, requiring readout error mitigation for certification. IBM job: d8e3t73o3njc73eu7880. Note: Also available on IACR ePrint https://eprint.iacr.org/2026/109748

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Correct Implementation of NIST SP 800-22 Statistical Tests for Quantum Random Number Generator Validation

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Abstract

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