Quantum Photonic TRNG with Dual Extractor

  • Mitchell A. ThorntonEmail author
  • Duncan L. MacFarlane
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11413)


An enhanced true random number generator (TRNG) architecture based on a photonic entropy source is presented. Photonic TRNGs are known to produce photon sequences at randomly distributed time intervals as well as random superimposed quantum states. We describe a TRNG architecture that takes advantage of both of these sources of entropy with a dual-source extractor function. We show that the amount of harvested entropy exceeds that compared to implementations comprised of only one of these sources. We also describe an implementation of a beam splitter used within the architecture that is suitable for implementation in a photonic integrated circuit that has been simulated and fabricated.


TRNG QRNG Extractor function Photonic integrated circuit Hadamard 


  1. 1.
    Arnoldus, H.F., Nienhuis, G.: Conditions for sub-poissonian photon statistics and squeezed states in resonance fluorescence. Optica Acta 30(11), 1573–1585 (1983)CrossRefGoogle Scholar
  2. 2.
    Baetoniu, C.: Method and Apparatus for True Random Number Generation. U.S. Patent 7,389,316, 17 June 2008Google Scholar
  3. 3.
    Dulz, W., Dulz, G., Hildebrandt, E., Schmitzer, H. (inventors): Method for Generating a Random Number on a Quantum-Mechanical Basis and Random Number Generator. U.S. Patent 6,609,139, 19 August 2003Google Scholar
  4. 4.
    Dorrendorf, L., Gutterman, Z., Pinkas, B.: Cryptanalysis of the random number generator of the Windows operating system. ACM Trans. Inf. Syst. Secur. 13(1), Article no. 10 (2009)Google Scholar
  5. 5.
    Chattopadhyay, E.: Explicit two-source extractors and more. Ph.D. dissertation, The University of Texas at Austin, May 2016Google Scholar
  6. 6.
    Chattopadhyay, E., Zuckerman, D.: Explicit two-source extractors and resilient functions. In: Proceedings of ACM Symposium of the Theory of Computing (STOC), pp. 670–683, June 2016Google Scholar
  7. 7.
    Fox, M.: Quantum Optics: An Introduction. Oxford University Press, Oxford (2006). ISBN 13-978-0-19-856673-1zbMATHGoogle Scholar
  8. 8.
    Huntoon, N.R., Christensen, M.P., MacFarlane, D.L., Evans, G.A., Yeh, C.S.: Integrated photonic coupler based on frustrated total internal reflection. Appl. Opt. 47, 5682 (2008)CrossRefGoogle Scholar
  9. 9.
    Hart, J.D., Terashima, Y., Uchida, A., Baumgartner, G.B., Murphy, T.E., Roy, R.: Recommendations and illustrations for the evaluation of photonic random number generators. APL Photonics 2, 090901 (2017). Scholar
  10. 10.
    ID Quantique, SA: Quantis Random Number Generator. Accessed 16 Nov 2018
  11. 11.
    Jennewein, T., Achleitner, U., Weihs, G., Weinfurter, H., Zeilinger, A.: A fast and compact quantum random number generator. Rev. Sci. Instrum. 71(4), 1675 (2000)CrossRefGoogle Scholar
  12. 12.
    Koerner, B.: Russians Engineer a Brilliant Slot Machine Cheat—And Casinos Have No Fix. Wired Magazine, 06 February 2017Google Scholar
  13. 13.
    Liu, K., Huang, H., Mu, S.X., Lin, H., MacFarlane, D.L.: Ultra-compact three-port trench-based photonic couplers in ion-exchanged glass waveguides. Opt. Commun. 309, 307–312 (2013)CrossRefGoogle Scholar
  14. 14.
    qutools GmbH: Quantum Random Number Generator. Product datasheet (2010). Accessed 9 June 2018
  15. 15.
    Shumow, D., Ferguson, N.: On the Possibility of a Back Door in the NIST SP800-90 Dual EC.
  16. 16.
    Stipcevic, M.: QBG121 Quantum Random Number Generator, Datasheet, v. 20060328. Accessed 9 June 2018
  17. 17.
    Sultana, N., Zhou, W., LaFave Jr., T.P., MacFarlane, D.L.: HBr based ICP etching of high aspect ratio nanoscale trenches in InP: considerations for photonic applications. J. Vac. Sci. Technol., B 27, 2351 (2009)Google Scholar
  18. 18.
    Thornton, M.A., Thornton, M.A.: Multiple-valued random digit extraction. In: Proceedings of IEEE International Symposium on Multiple-Valued Logic (ISMVL), pp. 162–167, May 2018Google Scholar
  19. 19.
    Zou, X., Mandel, L.: Photon-antibunching and sub-Poissonian photon statistics. Phys. Rev. A 41(1), 475–476 (1990)CrossRefGoogle Scholar
  20. 20.
    Zhou, W., Sultana, N., MacFarlane, D.L.: HBr-based inductively coupled plasma etching of high aspect ratio nanoscale trenches in GaInAsP/InP. J. Vac. Sci. Technol., B 26, 1896 (2008)Google Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Southern Methodist UniversityDallasUSA

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