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Ultrafast quantum random number generation based on quantum phase fluctuations
Open accessAbstract
A quantum random number generator (QRNG) can generate true randomness by exploiting the fundamental indeterminism of quantum mechanics. Most approaches to QRNG employ single-photon detection technologies and are limited in speed. Here, we experimentally demonstrate an ultrafast QRNG at a rate over 6 Gbits/s based on the quantum phase fluctuations of a laser operating near threshold. Moreover, we consider a potential adversary who has partial knowledge on the raw data and discuss how one can rigorously remove such partial knowledge with postprocessing. We quantify the quantum randomness through min-entropy by modeling our system and employ two randomness extractors--Trevisan's extractor and Toeplitz-hashing--to distill the randomness, which is information-theoretically provable. The simplicity and high-speed of our experimental setup show the feasibility of a robust, low-cost, high-speed QRNG.
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“To overcome the bandwidth limitation of shot noise-limited homodyne detection, researchers have developed QRNGs based on measuring phase 40 -45 or intensity noise 46,47 of ampli fi ed spontaneous emission(ASE), which is quantum mechanical by nature. 15,48,49”
From Quantum random number generation (2016) · cites this paper as [42]
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Cites
Metropolis, N., & Ulam, S. (1949) · Journal of the American Statistical Association · doi:10.1080/01621459.1949.10483310 · Cited by 6,474
Theory of the linewidth of semiconductor lasers
Henry, C. (1982) · IEEE Journal of Quantum Electronics · doi:10.1109/jqe.1982.1071522 · Cited by 2,488
Single-photon detectors for optical quantum information applications
Hadfield, R. H. (2009) · Nature Photonics · doi:10.1038/nphoton.2009.230 · Cited by 1,763
Random numbers certified by Bell’s theorem
Pironio, S., Acín, A., Massar, S., de la Giroday, A. B., Matsukevich, D. N., Maunz, P., Olmschenk, S., Hayes, D., Luo, L., Manning, T. A., et al. (2010) · Nature · doi:10.1038/nature09008 · Cited by 1,420
New hash functions and their use in authentication and set equality
Wegman, M. N., & Carter, J. L. (1981) · Journal of Computer and System Sciences · doi:10.1016/0022-0000(81)90033-7 · Cited by 1,402
Fast physical random bit generation with chaotic semiconductor lasers
Uchida, A., Amano, K., Inoue, M., Hirano, K., Naito, S., Someya, H., Oowada, I., Kurashige, T., Shiki, M., Yoshimori, S., et al. (2008) · Nature Photonics · doi:10.1038/nphoton.2008.227 · Cited by 1,024
TestU01: A C library for empirical testing of random number generators
L'Ecuyer, P., & Simard, R. (2007) · ACM Transactions on Mathematical Software · doi:10.1145/1268776.1268777 · Cited by 1,014
Quantum key distribution over a 40-dB channel loss using superconducting single-photon detectors
Takesue, H., Nam, S. W., Zhang, Q., Hadfield, R. H., Honjo, T., Tamaki, K., & Yamamoto, Y. (2007) · Nature Photonics · doi:10.1038/nphoton.2007.75 · Cited by 749
An optical ultrafast random bit generator
Kanter, I., Aviad, Y., Reidler, I., Cohen, E., & Rosenbluh, M. (2009) · Nature Photonics · doi:10.1038/nphoton.2009.235 · Cited by 505
A fast and compact quantum random number generator
Jennewein, T., Achleitner, U., Weihs, G., Weinfurter, H., & Zeilinger, A. (2000) · Review of Scientific Instruments · doi:10.1063/1.1150518 · Cited by 434
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Research works printed but not linked: 1
- Shaltiel, 2002, Bull. Eur. Assoc. Theor. Comput. Sci., 77, 67
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Items 201–228 of 228
Quantum random number generators for industrial applications
Sánchez, C. A. (2018) · doi:10.5821/dissertation-2117-120989
Ермаков, Р. П., Kurochkin, V. L., Sharoglazova, V., Losev, A., Zavodilenko, V., & Kurochkin, Y. V. (2019) · International Conference on Micro- and Nano-Electronics (ICMNE) · doi:10.1117/12.2522431
Pseudothermal Light Based Quantum Random Number Generator
Ozel, H., Dandasi, A., & Durak, K. (2020) · International Symposium on Multidisciplinary Studies and Innovative Technologies (ISMSIT) · doi:10.1109/ismsit50672.2020.9254508
Malpani, P. (2020) · arXiv (Cornell University) · doi:10.48550/arxiv.2011.09787
Li, Y., Wang, W., Fei, Y., Meng, X., Wang, H., Duan, Q.-H., & Ma, Z. (2021) · Research Square · doi:10.21203/rs.3.rs-583001/v1
Analysis of Quantum Key Randomness Based on Cold Region Practical QKD System
Wu, J., Zhang, Y., Zhao, J. K., Zhu, D., & Song, L. (2021)
Theoretical model of quantum random number generator based on phase fluctuation
Hong, T. A. O., Tan, X., & Xiaochun, L. I. (2019) · JOURNAL OF SHENZHEN UNIVERSITY SCIENCE AND ENGINEERING · doi:10.3724/sp.j.1249.2019.05519
Angel Valle, A., Quirce, A., Valle-Miñón, M., & Gutiérrez, J. (2023) · doi:10.1364/opticaopen.23626875
Angel Valle, A., Quirce, A., Valle-Miñón, M., & Gutiérrez, J. (2023) · doi:10.1364/opticaopen.23626875.v1
Toward integrating continuous-variable quantum key distribution technology
Aldama, J. (2023) · UPCommons institutional repository (Universitat Politècnica de Catalunya) · doi:10.5821/dissertation-2117-405124
Quantum Phase Properties of a State Driven by a Classical Field
Kumar, N., & Chatterjee, A. (2024) · International Journal of Theoretical Physics · doi:10.1007/s10773-024-05661-4
Quanten-Zufallszahlengenerierung
Kollmitzer, C., Petscharnig, S., Suda, M., & Mehić, M. (2024) · Springer eBooks · doi:10.1007/978-3-031-54998-4_2
Sichere Zufallszahlengenerierung in Systemen mit kontinuierlichen Variablen
Haw, J. Y., Assad, S. M., & Lam, P. K. (2024) · Springer eBooks · doi:10.1007/978-3-031-54998-4_6
Zhou, H., Wang, X., Chen, Z., & Yu, S. (2024) · Asia Communications and Photonics Conference · doi:10.1109/acp/ipoc63121.2024.10809920
Paul, G., Basak, N., & Das, S. (2025) · Journal of Optics · doi:10.1088/2040-8986/adf8fc
Adaptive Feedback Compensation Algorithm for Quantum Random Number Generators
Deng, W., Chen, K., Hua, F., Cheng, J., Guo, B., & Xie, H. (2025) · Entropy · doi:10.3390/e27080860
Rani, P., Singh, A. K., Parashar, A., & Saxena, D. (2025) · IEEE Transactions on Dependable and Secure Computing · doi:10.1109/tdsc.2025.3639685
Randomness Quantification in Spontaneous Emission
Li, C., Liu, S., & Ma, X. (2026) · Fluctuation and Noise Letters · doi:10.1142/s0219477525400310
Self-citationHigh-speed quantum random-number generation based on frequency-division multiplexing
Li, J., Fan, X., Chen, Y., Mu, T., Guo, J., Huang, J., Liu, M., Huang, Z., Liu, B., & Sun, S. (2025) · Physical Review Applied · doi:10.1103/zm23-pyfd
Nasution, B. B., Kamil, I., Rangkuti, A. E., Fachrizal, F., Sembiring, R. W., Siregar, I., Kholil, A., Lubis, A. R., & Indahwati, R. (2024) · International Conference on Computational Science & Information Management (ICoCSIM) · doi:10.1109/icocsim65098.2024.00035
Solutions évolutives pour les réseaux de communication quantique
Fedrici, B. (2017) · theses.fr (ABES) · doi:10.70675/4ee6f82ez8faez4962z907cz3c032c4ee820
Quantum Hardware Security and Near-term Applications
Ma, Y. (2023) · theses.fr (ABES) · doi:10.70675/4f128c9aze95ez495cza315z386b01b2df54
Li, L., Zhang, B., Yin, H., Liao, X., Xu, Y., Liu, X., Liu, Y., Xu, Y., Huang, P., Wang, T., et al. (2026) · Photonics Research · doi:10.1364/prj.597144
Quantum Random Number Generator Chip Based on Photon Number Counting
Yu, X., Li, Z., Shi, X., Pei, Y., & Xia, C. (2026) · Information Communication Technologies Conference (ICTC) · doi:10.1109/ictc70246.2026.11650568
Xue, W., Chen, Y., Zhang, L., & Si, D. (2026) · International Conference on IoT, Data Science and Advanced Computing (IDSAC) · doi:10.1109/idsac70973.2026.11650635
Korhan, H., Bayraktar, M., Vista, F., Schmit, Y., Duncán, J. C. M., & Chatzinotas, S. (2026) · IEEE Access · doi:10.1109/access.2026.3727139
On the Effect of Post-Processing on QRNG-Based Key Generation for Resource-Constrained IoT
Adetifa, O., Xu, G., Mao, J., Sakk, E., & Wang, S. (2026) · International Conference on Computer Communications and Networks (ICCCN) · doi:10.1109/icccn69946.2026.11662563
A Design of SDR-Based QRNG-Radar for Interference-Resilient Sensing Applications
Edwar, Abbas, Y. M. O., Khan, S. Z., Jallad, A.-H. M., & Camps, A. (2026) · IEEE Access · doi:10.1109/access.2026.3736624
Metadata
- Authors
- Xu, F., Qi, B., Ma, X., Xu, H., Zheng, H., & Lo, H.-K.
- Affiliations
- University of Toronto (CA)
- Venue
- Optics Express
- Publisher
- Optica Publishing Group
- Published
- 2012-05-16
- Volume
- 20
- Issue
- 11
- Pages
- 12366
- ISSN
- 1094-4087 (ISSN-L)
- OpenAlex
- W2017636475
- Cited by
- 228
- References
- 24
- Citations by year
- 2026: 10 · 2025: 21 · 2024: 26 · 2023: 24 · 2022: 8 · 2021: 23 · 2020: 21 · 2019: 22 · 2018: 8 · 2017: 18 · 2016: 13 · 2015: 17 · 2014: 8 · 2013: 7 · 2012: 1
- FWCI
- 10.37
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- Optics Express (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Random lasers and scattering media
- Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Chaos-based Image/Signal Encryption
- Keywords
- quantum random number generation, quantum phase fluctuations, min-entropy, randomness extractors, post-processing, true randomness
- MeSH terms
- Lasers, Mathematics, Quantum Theory, Random Allocation
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