The DOI matches its Crossref record; 36 of the 36 references it cites were found in a registry or an index.
Self-Testing Quantum Random Number Generator
Open accessAbstract
The generation of random numbers is a task of paramount importance in modern science. A central problem for both classical and quantum randomness generation is to estimate the entropy of the data generated by a given device. Here we present a protocol for self-testing quantum random number generation, in which the user can monitor the entropy in real time. Based on a few general assumptions, our protocol guarantees continuous generation of high quality randomness, without the need for a detailed characterization of the devices. Using a fully optical setup, we implement our protocol and illustrate its self-testing capacity. Our work thus provides a practical approach to quantum randomness generation in a scenario of trusted but error-prone devices.
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“For example, the source and measurement devices can be assumed to occupy independent two-dimensional quantum subspaces. 85”
From Quantum random number generation (2016) · cites this paper as [85]
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“Apart from the above two types of QRNGs, there are also some other QRNGs that achieve self-testing except under some mild assumptions.”
From Quantum random number generation (2016) · cites this paper as [85]
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Cites
Probability Inequalities for Sums of Bounded Random Variables
Hoeffding, W. (1963) · Journal of the American Statistical Association · doi:10.1080/01621459.1963.10500830 · Cited by 4,869
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
A review of lithium niobate modulators for fiber-optic communications systems
Wooten, E. L., Kissa, K. M., Yi-Yan, A., Murphy, E. J., Lafaw, D. A., Hallemeier, P. F., Maack, D., Attanasio, D. V., Fritz, D. J., McBrien, G. J., et al. (2000) · IEEE Journal of Selected Topics in Quantum Electronics · doi:10.1109/2944.826874 · Cited by 1,330
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
The Operational Meaning of Min- and Max-Entropy
König, R., Renner, R., & Schaffner, C. (2009) · IEEE Transactions on Information Theory · doi:10.1109/tit.2009.2025545 · Cited by 645
Detection-Loophole-Free Test of Quantum Nonlocality, and Applications
Christensen, B. G., McCusker, K. T., Altepeter, J. B., Calkins, B., Gerrits, T., Lita, A. E., Miller, A., Shalm, L. K., Zhang, Y., Nam, S. W., et al. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.130406 · Cited by 477
Self-citationA 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
A generator for unique quantum random numbers based on vacuum states
Gabriel, C., Wittmann, C., Sych, D., Dong, R., Mauerer, W., Andersen, U. L., Marquardt, C., & Leuchs, G. (2010) · Nature Photonics · doi:10.1038/nphoton.2010.197 · Cited by 419
High-speed quantum random number generation by measuring phase noise of a single-mode laser
Qi, B., Chi, Y.-M., Lo, H.-K., & Qian, L. (2010) · Optics Letters · doi:10.1364/ol.35.000312 · Cited by 290
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Research works printed but not linked: 1
- C. H. Bennett, 1984, Proceedings of the IEEE International Conference on Computers, Systems and Signal Processing, Bangalore, India
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Items 201–205 of 205
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
Operational coherent measurements with steering and randomness
Jebarathinam, C., Ku, H.-Y., & Goan, H. (2026) · Physical Review Research · doi:10.1103/f2hj-hjlw
Quantum-controlled Pauli true randomness for secure BB84 quantum key distribution
Gururaja, T. S., & Praveenkumar, P. (2026) · Optics Communications · doi:10.1016/j.optcom.2026.133607
Korhan, H., Bayraktar, M., Vista, F., Schmit, Y., Duncán, J. C. M., & Chatzinotas, S. (2026) · IEEE Access · doi:10.1109/access.2026.3727139
Prepare and broadcast scenario
Anonymous, Alves, M., Zamora, S., Alves, V. F., de Oliveira, A., & Chaves, R. (2026) · Physical Review A · doi:10.1103/6yzk-2q6j
Metadata
- Authors
- Lunghi, T., Brask, J. B., Lim, C. C. W., Lavigne, Q., Bowles, J., Martin, A., Zbinden, H., & Brunner, N.
- Affiliations
- University of Geneva (CH)
- ORCID
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2015-04-15
- Volume
- 114
- Issue
- 15
- Pages
- 150501-150501
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2025267340
- Cited by
- 206
- References
- 32
- Citations by year
- 2026: 14 · 2025: 19 · 2024: 12 · 2023: 18 · 2022: 16 · 2021: 23 · 2020: 26 · 2019: 26 · 2018: 16 · 2017: 13 · 2016: 13 · 2015: 8
- FWCI
- 16.31
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Archive ouverte UNIGE (University of Geneva) (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- HAL (submittedVersion)
- Archive ouverte UNIGE (University of Geneva) (submittedVersion, cc-by)
- arXiv (Cornell University)
- Funders
- Schweizerische Nationalfonds zur Förderung der Wissenschaftlichen Forschung (PP00P2_138917, QSIT)
- SEFRI
- SIQS
- 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 › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- quantum random number generation, self-testing, device-independent randomness
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