Searching for evidence of algorithmic randomness and incomputability in the output of quantum random number generators

التفاصيل البيبلوغرافية
العنوان: Searching for evidence of algorithmic randomness and incomputability in the output of quantum random number generators
المؤلفون: Kavulich, John T., Van Deren, Brennan P., Schlosshauer, Maximilian
المصدر: Phys. Lett. A 388, 127032 (2021)
سنة النشر: 2021
المجموعة: Quantum Physics
مصطلحات موضوعية: Quantum Physics
الوصف: Ideal quantum random number generators (QRNGs) can produce algorithmically random and thus incomputable sequences, in contrast to pseudo-random number generators. However, the verification of the presence of algorithmic randomness and incomputability is a nontrivial task. We present the results of a search for algorithmic randomness and incomputability in the output from two different QRNGs, performed by applying tests based on the Solovay-Strassen test of primality and the Chaitin-Schwartz theorem. The first QRNG uses measurements of quantum vacuum fluctuations. The second QRNG is based on polarization measurements on entangled single photons; for this generator, we use looped (and thus highly compressible) strings that also allow us to assess the ability of the tests to detect repeated bit patterns. Compared to a previous search for algorithmic randomness, our study increases statistical power by almost 3 orders of magnitude.
Comment: 9 pages, 5 figures, matches published version
نوع الوثيقة: Working Paper
DOI: 10.1016/j.physleta.2020.127032
URL الوصول: http://arxiv.org/abs/2101.01238
رقم الأكسشن: edsarx.2101.01238
قاعدة البيانات: arXiv
الوصف
DOI:10.1016/j.physleta.2020.127032