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Erschienen in: Quantum Information Processing 4/2024

01.04.2024

New concepts and construction of quantum random number generators

verfasst von: Piotr Jóźwiak, Janusz E. Jacak, Witold A. Jacak

Erschienen in: Quantum Information Processing | Ausgabe 4/2024

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Abstract

A new concept of a quantum random number generator related to the application of a quantum entanglement to produce several mutually coupled in a random manner bit strings is proposed. This allows for an entropy assessment in real time in the public domain by testing of one disclosed string without compromising the coupled by quantum entanglement dual strings remaining fully secret and as random as the one tested. Additionally, a new prototype of a miniaturized quantum random number generator is presented, which utilizes quantum transitions along the Fermi golden rule as the entropy source and is developed for an application to reduce size of cryptography systems on continuous variables and for a usage in portable IT devices.

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Literatur
1.
Zurück zum Zitat Portmann, C., Renner, R.: Security in quantum cryptography. Rev. Mod. Phys. 94, 025008 (2022)ADSMathSciNet Portmann, C., Renner, R.: Security in quantum cryptography. Rev. Mod. Phys. 94, 025008 (2022)ADSMathSciNet
2.
Zurück zum Zitat Grasselli, F.: Quantum Cryptography: From Key Distribution to Conference Key Agreement. Springer Nature Switzerland AG, Cham (2021) Grasselli, F.: Quantum Cryptography: From Key Distribution to Conference Key Agreement. Springer Nature Switzerland AG, Cham (2021)
3.
Zurück zum Zitat Jacak, M., Jóźwiak, I., Jacak, J., Gruber, J., Jacak, W.: Introduction to Quantum Cryptography. WUST UP, Wrocław (2013) Jacak, M., Jóźwiak, I., Jacak, J., Gruber, J., Jacak, W.: Introduction to Quantum Cryptography. WUST UP, Wrocław (2013)
4.
Zurück zum Zitat Menezes, A.J., van Oorschot, P.C., Vanstone, S.A.: Handbook of Applied Cryptography. CRC Press, Boca Raton (1997) Menezes, A.J., van Oorschot, P.C., Vanstone, S.A.: Handbook of Applied Cryptography. CRC Press, Boca Raton (1997)
5.
Zurück zum Zitat Kolmogorov, A.: On tables of random numbers. Theor. Comput. Sci. 207, 387 (1998)MathSciNet Kolmogorov, A.: On tables of random numbers. Theor. Comput. Sci. 207, 387 (1998)MathSciNet
6.
Zurück zum Zitat Blum, L., Blum, M., Shub, M.: A simple unpredictable pseudo-random number generator. SIAM J. Comput. 15, 364 (1986)MathSciNet Blum, L., Blum, M., Shub, M.: A simple unpredictable pseudo-random number generator. SIAM J. Comput. 15, 364 (1986)MathSciNet
7.
8.
Zurück zum Zitat Uchida, A., Amano, K., Inoue, M., Hirano, K., Naito, S., Someya, H., Oowada, I., Kurashige, T., Shiki, M., Yoshimori, S., Yoshimura, K., Davis, P.: Fast physical random bit generation with chaotic semiconductor lasers. Nat. Photon. 2, 728 (2008)ADS Uchida, A., Amano, K., Inoue, M., Hirano, K., Naito, S., Someya, H., Oowada, I., Kurashige, T., Shiki, M., Yoshimori, S., Yoshimura, K., Davis, P.: Fast physical random bit generation with chaotic semiconductor lasers. Nat. Photon. 2, 728 (2008)ADS
9.
Zurück zum Zitat Ma, X., Yuan, X., Cao, Z., Qi, B., Zhang, Z.: Quantum random number generation. Nat. Electron. (2016) Ma, X., Yuan, X., Cao, Z., Qi, B., Zhang, Z.: Quantum random number generation. Nat. Electron. (2016)
10.
Zurück zum Zitat Rukhin, A., Soto, J., Nechvatal, J., Smid, M. , Barker, E., Leigh, S., Levenson, M., Vangel, M., Banks, D., Heckert, A., Dray, J., Vo, S.: A statistical test suite for random and pseudorandom number generators for cryptographic applications. NIST Special Publication 800-22 Revision 1a, 2010. Revisor: Lawrence E. Bassham III Rukhin, A., Soto, J., Nechvatal, J., Smid, M. , Barker, E., Leigh, S., Levenson, M., Vangel, M., Banks, D., Heckert, A., Dray, J., Vo, S.: A statistical test suite for random and pseudorandom number generators for cryptographic applications. NIST Special Publication 800-22 Revision 1a, 2010. Revisor: Lawrence E. Bassham III
11.
Zurück zum Zitat Rueppel, R.A.: Analysis and Design of Stream Ciphers. Springer, New York (1986) Rueppel, R.A.: Analysis and Design of Stream Ciphers. Springer, New York (1986)
12.
Zurück zum Zitat Collantes, H., Escartin, M.G., Carlos, J.: Quantum random number generators. Rev. Mod. Phys. 89, 015004 (2017)ADSMathSciNet Collantes, H., Escartin, M.G., Carlos, J.: Quantum random number generators. Rev. Mod. Phys. 89, 015004 (2017)ADSMathSciNet
13.
Zurück zum Zitat Ma, X., Yuan, X., Cao, Z., Qi, B., Zhang, Z.: Quantum random number generation. Quantum Inf. 2, 16021 (2016) Ma, X., Yuan, X., Cao, Z., Qi, B., Zhang, Z.: Quantum random number generation. Quantum Inf. 2, 16021 (2016)
14.
Zurück zum Zitat Khrennikov, A.: Randomness: quantum versus classical. Int. J. Quantum Inform. 14, 1640009 (2016)ADSMathSciNet Khrennikov, A.: Randomness: quantum versus classical. Int. J. Quantum Inform. 14, 1640009 (2016)ADSMathSciNet
15.
Zurück zum Zitat Kollmitzer, C., Schauer, S., Rass, S., Rainer, B.: Quantum Random Number Generation. Theory and Practice. Springer, Berlin (2020) Kollmitzer, C., Schauer, S., Rass, S., Rainer, B.: Quantum Random Number Generation. Theory and Practice. Springer, Berlin (2020)
16.
Zurück zum Zitat Herrero-Collantes, M., Garcia-Escartin, J.C.: Quantum random number generators. Rev. Modern Phys. 89, 015004 (2016)ADSMathSciNet Herrero-Collantes, M., Garcia-Escartin, J.C.: Quantum random number generators. Rev. Modern Phys. 89, 015004 (2016)ADSMathSciNet
17.
Zurück zum Zitat Metropolis, N., Ulam, S.: The Monte Carlo method. J. Am. Stat. Assoc. 44, 335 (1949) Metropolis, N., Ulam, S.: The Monte Carlo method. J. Am. Stat. Assoc. 44, 335 (1949)
18.
Zurück zum Zitat Metropolis, N., Rosenbluth, A.W., Rosenbluth, M.N., Teller, A.M., Teller, E.: Equation of state calculations by fast computing machines. J. Chem. Phys. 21, 1087 (1953)ADS Metropolis, N., Rosenbluth, A.W., Rosenbluth, M.N., Teller, A.M., Teller, E.: Equation of state calculations by fast computing machines. J. Chem. Phys. 21, 1087 (1953)ADS
19.
Zurück zum Zitat Gentle, J.E.: Random Number Generation and Monte Carlo Methods. Springer, Berlin (1998) Gentle, J.E.: Random Number Generation and Monte Carlo Methods. Springer, Berlin (1998)
20.
Zurück zum Zitat Rice, J.A.: Mathematical Statistics and Data Analysis, 2nd edn. Duxbury Press, Belmont (1995) Rice, J.A.: Mathematical Statistics and Data Analysis, 2nd edn. Duxbury Press, Belmont (1995)
21.
Zurück zum Zitat Chung, K.L.: Elementary Probability Theory with Stochastic Processes. Springer, New York (1979) Chung, K.L.: Elementary Probability Theory with Stochastic Processes. Springer, New York (1979)
22.
Zurück zum Zitat Pitman, J.: Probability. Springer, New York (1993) Pitman, J.: Probability. Springer, New York (1993)
23.
Zurück zum Zitat Maclaren, N.: Cryptographic Pseudo-random Numbers in Simulation. Cambridge Security Workshop on Fast Software Encryption. R. Anderson, Cambridge (1993) Maclaren, N.: Cryptographic Pseudo-random Numbers in Simulation. Cambridge Security Workshop on Fast Software Encryption. R. Anderson, Cambridge (1993)
24.
Zurück zum Zitat Knuth, D.E.: The Art of Computer Programming. Vol 2: Seminumerical Algorithms. 3rd ed. Addison-Wesley, Reading (1998) Knuth, D.E.: The Art of Computer Programming. Vol 2: Seminumerical Algorithms. 3rd ed. Addison-Wesley, Reading (1998)
26.
Zurück zum Zitat David, F.N., Barton, D.E.: Combinatorial Chance. Hafner Publishing Co., New York (1962) David, F.N., Barton, D.E.: Combinatorial Chance. Hafner Publishing Co., New York (1962)
27.
Zurück zum Zitat Zubarew, D.N.: Nonequilibrium Statistical Thermodynamics. MIR Publishers, Moscow (1973) Zubarew, D.N.: Nonequilibrium Statistical Thermodynamics. MIR Publishers, Moscow (1973)
28.
Zurück zum Zitat Pincus, S., Singer, B.H.: Randomness and degrees of irregularity. Proc. Natl. Acad. Sci. U.S.A. 93, 2083–2088 (1996)ADSMathSciNet Pincus, S., Singer, B.H.: Randomness and degrees of irregularity. Proc. Natl. Acad. Sci. U.S.A. 93, 2083–2088 (1996)ADSMathSciNet
29.
Zurück zum Zitat Fischer, V.: A Closer Look at Security in Random Number Generators Design, pages 167–182. Springer Berlin Heidelberg, Berlin, Heidelberg (2012) Fischer, V.: A Closer Look at Security in Random Number Generators Design, pages 167–182. Springer Berlin Heidelberg, Berlin, Heidelberg (2012)
30.
Zurück zum Zitat Arute, F., et al.: Quantum supremacy using a programmable superconducting processor. Nature 574, 505 (2019)ADS Arute, F., et al.: Quantum supremacy using a programmable superconducting processor. Nature 574, 505 (2019)ADS
32.
Zurück zum Zitat Nielsen, M., Chuang, I.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2010) Nielsen, M., Chuang, I.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2010)
33.
Zurück zum Zitat von Neumann, J.: Mathematical Foundations of Quantum Mechanics. Princeton University Press, Princeton (1955) von Neumann, J.: Mathematical Foundations of Quantum Mechanics. Princeton University Press, Princeton (1955)
34.
36.
Zurück zum Zitat Landau, L., Lifschitz, L.: Quantum Mechanics PWN. Non-relativistic Theory. Elesiver, Amsterdam (2012) Landau, L., Lifschitz, L.: Quantum Mechanics PWN. Non-relativistic Theory. Elesiver, Amsterdam (2012)
37.
Zurück zum Zitat Sudarshan, E.C.G., Misra, B.: The Zeno’s paradox in quantum theory. J. Math. Phys. 18, 75689 (1977)MathSciNet Sudarshan, E.C.G., Misra, B.: The Zeno’s paradox in quantum theory. J. Math. Phys. 18, 75689 (1977)MathSciNet
38.
Zurück zum Zitat Jacak, J.E., Jacak, W.A., Donderowicz, W.A., Jacak, L.: Quantum random number generators with entanglement for public randomness testing. Sci. Rep. 10, 164 (2020)ADS Jacak, J.E., Jacak, W.A., Donderowicz, W.A., Jacak, L.: Quantum random number generators with entanglement for public randomness testing. Sci. Rep. 10, 164 (2020)ADS
39.
Zurück zum Zitat Wootters, W., Żurek, W.: A single quantum cannot be cloned. Nature 299, 802 (1982)ADS Wootters, W., Żurek, W.: A single quantum cannot be cloned. Nature 299, 802 (1982)ADS
40.
Zurück zum Zitat Pan, J., Bouwmeester, D., Daniell, M., Weinfurter, H., Zeilinger, A.: Experimental test of quantum nonlocality in three-photon Greenberger-Horne-Zeilinger entanglement. Nature 403, 515 (2000)ADS Pan, J., Bouwmeester, D., Daniell, M., Weinfurter, H., Zeilinger, A.: Experimental test of quantum nonlocality in three-photon Greenberger-Horne-Zeilinger entanglement. Nature 403, 515 (2000)ADS
41.
Zurück zum Zitat Bouwmeester, D., Pan, J., Daniell, M., Weinfurter, H., Zeilinger, A.: Observation of three-photon Greenberger-Horne-Zeilinger entanglement. Phys. Rev. Lett. 82, 1345 (1999)ADSMathSciNet Bouwmeester, D., Pan, J., Daniell, M., Weinfurter, H., Zeilinger, A.: Observation of three-photon Greenberger-Horne-Zeilinger entanglement. Phys. Rev. Lett. 82, 1345 (1999)ADSMathSciNet
42.
Zurück zum Zitat Thomas, P., Ruscio, L., Morin, O., Rempe, G.: Efficient generation of entangled multiphoton graph states from a single atom. Nature 608, 677 (2022)ADS Thomas, P., Ruscio, L., Morin, O., Rempe, G.: Efficient generation of entangled multiphoton graph states from a single atom. Nature 608, 677 (2022)ADS
43.
Zurück zum Zitat Deng, Y., Gu, Y., Liu, H., Gong, S., Su, H., Zhang, Z., Tang, H., Jia, M., Xu, J., Chen, M., Qin, J., Peng, L., Yan, J., Hu, Y., Huang, J., Li, H., Li, Y., Chen, Y., Jiang, X., Gan, L., Yang, G., You, L., Li, L., Zhong, H., Wang, H., Liu, N., Renema, J., Lu, C., Pan, J.: Gaussian boson sampling with pseudo-photon-number-resolving detectors and quantum computational advantage. Phys. Rev. Lett. 131, 150601 (2023)ADS Deng, Y., Gu, Y., Liu, H., Gong, S., Su, H., Zhang, Z., Tang, H., Jia, M., Xu, J., Chen, M., Qin, J., Peng, L., Yan, J., Hu, Y., Huang, J., Li, H., Li, Y., Chen, Y., Jiang, X., Gan, L., Yang, G., You, L., Li, L., Zhong, H., Wang, H., Liu, N., Renema, J., Lu, C., Pan, J.: Gaussian boson sampling with pseudo-photon-number-resolving detectors and quantum computational advantage. Phys. Rev. Lett. 131, 150601 (2023)ADS
45.
Zurück zum Zitat Leinaas, J.M., Myrheim, J.: On the theory of identical particles. Nuovo Cimmento 37B, 1 (1977)ADS Leinaas, J.M., Myrheim, J.: On the theory of identical particles. Nuovo Cimmento 37B, 1 (1977)ADS
46.
Zurück zum Zitat Jacak, M.M., Jóźwiak, P., Niemczuk, J., Jacak, J.E.: Quantum generators of random numbers. Sci. Rep. 11, 16108 (2021)ADS Jacak, M.M., Jóźwiak, P., Niemczuk, J., Jacak, J.E.: Quantum generators of random numbers. Sci. Rep. 11, 16108 (2021)ADS
47.
Zurück zum Zitat Jacak, M., Jacak, J., Jóźwiak, P., Jóźwiak, I.: Quantum cryptography: Theoretical protocols for quantum key distribution and tests of selected commercial QKD systems in commercial fiber networks. Int. J. Quantum Inf. 14, 1630002 (2016) Jacak, M., Jacak, J., Jóźwiak, P., Jóźwiak, I.: Quantum cryptography: Theoretical protocols for quantum key distribution and tests of selected commercial QKD systems in commercial fiber networks. Int. J. Quantum Inf. 14, 1630002 (2016)
48.
Zurück zum Zitat Pirandola, S., Andersen, U.L., Banchi, L., Berta, M., Bunandar, D., Colbeck, R., Englund, D., Gehring, T., Lupo, C., Ottaviani, C., Pereira, J.L., Razavi, M., Shamsul Shaari, J., Tomamichel, M., Usenko, V.C., Vallone, G., Villoresi, P., Wallden, P.: Advances in quantum cryptography. Adv. Opt. Photon. 12, 1012 (2020) Pirandola, S., Andersen, U.L., Banchi, L., Berta, M., Bunandar, D., Colbeck, R., Englund, D., Gehring, T., Lupo, C., Ottaviani, C., Pereira, J.L., Razavi, M., Shamsul Shaari, J., Tomamichel, M., Usenko, V.C., Vallone, G., Villoresi, P., Wallden, P.: Advances in quantum cryptography. Adv. Opt. Photon. 12, 1012 (2020)
49.
Zurück zum Zitat Bacco, D., Da Lio, B., Cozzolino, D., Da Ros, F., Guo, X., Ding, Y., Sasaki, Y., Aikawa, K., Miki, S., Terai, H., Yamashita, T., Neergaard-Nielsen, J.S., Galili, M., Rottwitt, K., Andersen, U.L., Morioka, T., Oxenlowe, L.K.: Boosting the secret key rate in a shared quantum and classical fibre communication system. Commun. Phys. Nature 2, 1 (2019) Bacco, D., Da Lio, B., Cozzolino, D., Da Ros, F., Guo, X., Ding, Y., Sasaki, Y., Aikawa, K., Miki, S., Terai, H., Yamashita, T., Neergaard-Nielsen, J.S., Galili, M., Rottwitt, K., Andersen, U.L., Morioka, T., Oxenlowe, L.K.: Boosting the secret key rate in a shared quantum and classical fibre communication system. Commun. Phys. Nature 2, 1 (2019)
50.
Zurück zum Zitat Pivoluska, M., Plesch, M.: Device independent random number generation. Acta Phys. Slovaca. 64, 600–663 (2014) Pivoluska, M., Plesch, M.: Device independent random number generation. Acta Phys. Slovaca. 64, 600–663 (2014)
51.
Zurück zum Zitat Bell, J.S.: Speakable and Unspeakable in Quantum Mechanics. Cambridge University Press, Cambridge (1987) Bell, J.S.: Speakable and Unspeakable in Quantum Mechanics. Cambridge University Press, Cambridge (1987)
52.
Zurück zum Zitat Clauser, J.F., Horne, M.A., Shimony, A., Holt, R.A.: Proposed experiment to test local hidden-variable theories. Phys. Rev. Lett. 23, 880 (1969)ADS Clauser, J.F., Horne, M.A., Shimony, A., Holt, R.A.: Proposed experiment to test local hidden-variable theories. Phys. Rev. Lett. 23, 880 (1969)ADS
53.
Zurück zum Zitat Bell, J.S.: On the Einstein Podolsky Rosen paradox. Physics 1, 195–200 (1964)MathSciNet Bell, J.S.: On the Einstein Podolsky Rosen paradox. Physics 1, 195–200 (1964)MathSciNet
54.
Zurück zum Zitat Yuan, X., Cao, Z., Ma, X.: Randomness requirement on the Clauser–Horne–Shimony–Holt Bell test in the multiple-run scenario. Phys. Rev. A 91, 032111 (2015)ADSMathSciNet Yuan, X., Cao, Z., Ma, X.: Randomness requirement on the Clauser–Horne–Shimony–Holt Bell test in the multiple-run scenario. Phys. Rev. A 91, 032111 (2015)ADSMathSciNet
55.
Zurück zum Zitat Mermin, N.D.: Physics: QBism puts the scientist back into science. Nature 507, 421–423 (2014)ADS Mermin, N.D.: Physics: QBism puts the scientist back into science. Nature 507, 421–423 (2014)ADS
56.
Zurück zum Zitat Gerry, C., Knight, P.: Intruductory Quantum Optics. Cambridge University Press, Cambridge (2004) Gerry, C., Knight, P.: Intruductory Quantum Optics. Cambridge University Press, Cambridge (2004)
57.
Zurück zum Zitat Doganaksoy, A., Ege, B., Mus, L.: Extended results for independence and sensitivity of nist randomness tests. ISC Turkey (2008) Doganaksoy, A., Ege, B., Mus, L.: Extended results for independence and sensitivity of nist randomness tests. ISC Turkey (2008)
58.
Zurück zum Zitat Sys, M., Riha, Z., Matyas, V., Marton, K., Suciu, A.: On the interpretation of results from the nist statistical test suite. Rom. J. Inf. Sci. Technol. 18, 18 (2015) Sys, M., Riha, Z., Matyas, V., Marton, K., Suciu, A.: On the interpretation of results from the nist statistical test suite. Rom. J. Inf. Sci. Technol. 18, 18 (2015)
59.
Zurück zum Zitat Maurer, U.M.: A universal statistical test for random bit generators. J. Cryptol. 5, 89–105 (1992)MathSciNet Maurer, U.M.: A universal statistical test for random bit generators. J. Cryptol. 5, 89–105 (1992)MathSciNet
60.
Zurück zum Zitat Revesz, P.: Random Walk in Random and Non-Random Environments. World Scientific, Singapore (1990) Revesz, P.: Random Walk in Random and Non-Random Environments. World Scientific, Singapore (1990)
63.
Zurück zum Zitat Marsaglia, G., Tsay, L.H.: Matrices and the structure of random number sequences. Linear Algebra Appl. 67, 147–156 (1985)MathSciNet Marsaglia, G., Tsay, L.H.: Matrices and the structure of random number sequences. Linear Algebra Appl. 67, 147–156 (1985)MathSciNet
64.
Zurück zum Zitat Rukhin, A.: Approximate entropy for testing randomness. J. Appl. Probab. 37, 88–100 (2000)MathSciNet Rukhin, A.: Approximate entropy for testing randomness. J. Appl. Probab. 37, 88–100 (2000)MathSciNet
65.
Zurück zum Zitat Bracewell, R.N.: The Fourier Transform and Its Applications. McGraw-Hill, New York (1986) Bracewell, R.N.: The Fourier Transform and Its Applications. McGraw-Hill, New York (1986)
66.
Zurück zum Zitat Killman, W., Schüth, J., Thumser, W., Uludag, I.: A note concerning the dft test in nist special publication 800-22. T-Systems, Systems Integration (2004) Killman, W., Schüth, J., Thumser, W., Uludag, I.: A note concerning the dft test in nist special publication 800-22. T-Systems, Systems Integration (2004)
Metadaten
Titel
New concepts and construction of quantum random number generators
verfasst von
Piotr Jóźwiak
Janusz E. Jacak
Witold A. Jacak
Publikationsdatum
01.04.2024
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 4/2024
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-024-04335-8

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