6 Gbps real-time optical quantum random number generator based on vacuum fluctuation.

We demonstrate a 6 Gbps real-time optical quantum random number generator by measuring vacuum fluctuation. To address the common problem that speed gap exists between fast randomness generation and slow randomness extraction in most high-speed real-time quantum random number generator systems, we present an optimized extraction algorithm based on parallel implementation of Toeplitz hashing to reduce the influence of classical noise due to the imperfection of devices. Notably, the real-time rate of randomness extraction we have achieved reaches the highest speed of 12 Gbps by occupying less computing resources, and the algorithm has the ability to support hundreds of Gbps randomness extraction. By assuming that the eavesdropper with complete knowledge of the classical noise, our generator has a randomness generation speed of 6.83 Gbps and this supports the generation of 6 Gbps information-theoretically provable quantum random numbers, which are output in real-time through peripheral component interconnect express interface.

[1]  L. Tian,et al.  Practical quantum random number generator based on measuring the shot noise of vacuum states , 2010 .

[2]  Ling-An Wu,et al.  Random number generation based on the time of arrival of single photons. , 2005, Applied optics.

[3]  Xiongfeng Ma,et al.  Ultrafast quantum random number generation based on quantum phase fluctuations. , 2011, Optics express.

[4]  E. Jeffrey,et al.  Photon arrival time quantum random number generation , 2009 .

[5]  Jan Bouda,et al.  Weak randomness seriously limits the security of quantum key distribution , 2012 .

[6]  H. Weinfurter,et al.  High speed optical quantum random number generation. , 2010, Optics express.

[7]  James F. Dynes,et al.  Efficient and robust quantum random number generation by photon number detection , 2015 .

[8]  C. Luchini,et al.  [High speed]. , 1969, Revista De La Escuela De Odontologia, Universidad Nacional De Tucuman, Facultad De Medicina.

[9]  Paul G. Kwiat,et al.  High-speed quantum random number generation , 2008 .

[10]  Maciej Lewenstein,et al.  Randomness in quantum mechanics: philosophy, physics and technology , 2016, Reports on progress in physics. Physical Society.

[11]  Hong Guo,et al.  High-Speed and Bias-Free Optical Random Number Generator , 2012, IEEE Photonics Technology Letters.

[12]  Yang Liu,et al.  The generation of 68 Gbps quantum random number by measuring laser phase fluctuations. , 2015, The Review of scientific instruments.

[13]  Seth Lloyd,et al.  Gaussian quantum information , 2011, 1110.3234.

[14]  ANG,et al.  5.4 Gbps real time quantum random number generator with simple implementation. , 2016, Optics express.

[15]  T. Symul,et al.  Maximization of Extractable Randomness in a Quantum Random-Number Generator , 2014, 1411.4512.

[16]  Noam Nisan,et al.  The computational complexity of universal hashing , 1990, Proceedings Fifth Annual Structure in Complexity Theory Conference.

[17]  T. Symul,et al.  Real time demonstration of high bitrate quantum random number generation with coherent laser light , 2011, 1107.4438.

[18]  Qiurong Yan,et al.  Multi-bit quantum random number generation by measuring positions of arrival photons. , 2014, The Review of scientific instruments.

[19]  Jun Zhang,et al.  Practical and fast quantum random number generation based on photon arrival time relative to external reference , 2014, ArXiv.

[20]  R. Dong,et al.  A generator for unique quantum random numbers based on vacuum states , 2010 .

[21]  Alan M. Ferrenberg,et al.  Monte Carlo simulations: Hidden errors from "good" random number generators. , 1992, Physical review letters.

[22]  Noam Nisan,et al.  Hardness vs Randomness , 1994, J. Comput. Syst. Sci..

[23]  Mei Li,et al.  Continuous-variable QKD over 50 km commercial fiber , 2017, Quantum Science and Technology.

[24]  H. Weinfurter,et al.  A fast and compact quantum random number generator , 1999, quant-ph/9912118.

[25]  Bing Qi,et al.  True randomness from an incoherent source. , 2016, The Review of scientific instruments.

[26]  Y Liu,et al.  Implementation of 1.6 Tb s−1 truly random number generation based on a super-luminescent emitting diode , 2013 .

[27]  Hong Guo,et al.  5.4 Gbps real time quantum random number generator with simple implementation. , 2016, Optics express.

[28]  Zhengyu Li,et al.  High speed continuous variable source-independent quantum random number generation , 2017, Quantum Science and Technology.

[29]  M. Wahl,et al.  An ultrafast quantum random number generator with provably bounded output bias based on photon arrival time measurements , 2011 .

[30]  J Capmany,et al.  Ultra-fast quantum randomness generation by accelerated phase diffusion in a pulsed laser diode. , 2014, Optics express.

[31]  A. W. Sharpe,et al.  A High Speed, Post-Processing Free, Quantum Random Number Generator , 2008, ArXiv.

[32]  Zhu Cao,et al.  Quantum random number generation , 2015, npj Quantum Information.

[33]  Song Yu,et al.  1.2-GHz Balanced Homodyne Detector for Continuous-Variable Quantum Information Technology , 2018, IEEE Photonics Journal.

[34]  Hugo Zbinden,et al.  Quantum Random Number Generation for 1.25-GHz Quantum Key Distribution Systems , 2015, Journal of Lightwave Technology.

[35]  Hao Liang,et al.  Fully integrated 3.2 Gbps quantum random number generator with real-time extraction , 2016, ArXiv.

[36]  Mohsen Razavi,et al.  Randomness quantification of coherent detection , 2018, Physical Review A.

[37]  Hong Guo,et al.  Truly random number generation based on measurement of phase noise of a laser. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[38]  Hong Guo,et al.  Bias-free true random-number generator. , 2009, Optics letters.

[39]  David Naccache,et al.  Randomness in Cryptography , 2006 .

[40]  J. F. Dynes,et al.  A high speed , postprocessing free , quantum random number generator , 2008 .

[41]  Rajarshi Roy,et al.  Scalable parallel physical random number generator based on a superluminescent LED. , 2011, Optics letters.

[42]  Yang Liu,et al.  68 Gbps quantum random number generation by measuring laser phase fluctuations , 2015, ArXiv.

[43]  Richard Moulds,et al.  Quantum Random Number Generators , 2016 .

[44]  Qiang Zhou,et al.  Practical quantum random-number generation based on sampling vacuum fluctuations , 2017, Quantum Eng..

[45]  N. Gisin,et al.  Optical quantum random number generator , 1999, quant-ph/9907006.

[46]  Hong Guo,et al.  High-Speed Implementation of Length-Compatible Privacy Amplification in Continuous-Variable Quantum Key Distribution , 2018, IEEE Photonics Journal.

[47]  S. Wehner,et al.  Bell Nonlocality , 2013, 1303.2849.

[48]  H. Zeng,et al.  Quantum random-number generator based on a photon-number-resolving detector , 2011 .

[49]  He Xu,et al.  Postprocessing for quantum random number generators: entropy evaluation and randomness extraction , 2012, ArXiv.

[50]  Damien Bonneau,et al.  An On-Chip Homodyne Detector for Measuring Quantum States , 2016, 2018 IEEE Photonics Society Summer Topical Meeting Series (SUM).

[51]  Damien Bonneau,et al.  A homodyne detector integrated onto a photonic chip for measuring quantum states and generating random numbers , 2018 .

[52]  H. Bechmann-Pasquinucci,et al.  Quantum cryptography , 2001, quant-ph/0101098.

[53]  Bing Qi,et al.  Practical challenges in quantum key distribution , 2016, npj Quantum Information.

[54]  Caitlin R. S. Williams,et al.  Fast physical random number generator using amplified spontaneous emission. , 2010, Optics express.

[55]  Leonid A. Levin,et al.  Pseudo-random generation from one-way functions , 1989, STOC '89.

[56]  W. Marsden I and J , 2012 .

[57]  V. Scarani,et al.  The security of practical quantum key distribution , 2008, 0802.4155.

[58]  Hong Guo,et al.  117 Gbits/s Quantum Random Number Generation With Simple Structure , 2017, IEEE Photonics Technology Letters.