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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
Real time demonstration of high bitrate quantum random number generation with coherent laser light
Symul, T., Assad, S. M., & Lam, P. K. (2011) · Applied Physics Letters · doi:10.1063/1.3597793 · Cited by 247
Postprocessing for quantum random-number generators: Entropy evaluation and randomness extraction
Ma, X., Xu, F., Xu, H., Tan, X., Qi, B., & Lo, H.-K. (2013) · Physical Review A · doi:10.1103/physreva.87.062327 · Cited by 241
On the genesis and evolution of Integrated Quantum Optics
Tanzilli, S., Martin, A., Kaiser, F., De Micheli, M. P., Alibart, O., & Ostrowsky, D. B. (2012) · Laser & Photonics Reviews · doi:10.1002/lpor.201100010 · Cited by 234
Self-citationQuantum Random-number Generation and Key Sharing
Rarity, J. G., Owens, P. C. M., & Tapster, P. R. (1994) · Journal of Modern Optics · doi:10.1080/09500349414552281 · Cited by 232
A high speed, postprocessing free, quantum random number generator
Dynes, J. F., Yuan, Z. L., Sharpe, A. W., & Shields, A. J. (2008) · Applied Physics Letters · doi:10.1063/1.2961000 · Cited by 226
Efficient Shift Registers, LFSR Counters, and Long Pseudo- Random Sequence Generators
Family, X. (1996) · Cited by 221
Wahl, M., Leifgen, M., Berlin, M., Röhlicke, T., Rahn, H.-J., & Benson, O. J. (2011) · Applied Physics Letters · doi:10.1063/1.3578456 · Cited by 197
Quantum randomness certified by the uncertainty principle
Vallone, G., Marangon, D. G., Tomasin, M., & Villoresi, P. (2014) · Physical Review A · doi:10.1103/physreva.90.052327 · Cited by 189
Ultra-fast quantum randomness generation by accelerated phase diffusion in a pulsed laser diode
Abellán, C., Amaya, W., Jofre, M., Curty, M., Acín, A., Capmany, J., Pruneri, V., & Mitchell, M. W. (2014) · Optics Express · doi:10.1364/oe.22.001645 · Cited by 168
Quantum random number generator based on photonic emission in semiconductors
Stipčević, M., & Rogina, B. M. (2007) · Review of Scientific Instruments · doi:10.1063/1.2720728 · Cited by 168
Extracting Randomness: A Survey and New Constructions
Nisan, N., & Ta‐Shma, A. (1999) · Journal of Computer and System Sciences · doi:10.1006/jcss.1997.1546 · Cited by 158
Semi-device-independent random-number expansion without entanglement
Li, H.-W., Yin, Z., Wu, Y.-C., Zou, X., Wang, S., Chen, W., Guo, G., & Han, Z. (2011) · Physical Review A · doi:10.1103/physreva.84.034301 · Cited by 138
Quantum Random Number Generation on a Mobile Phone
Sanguinetti, B., Martin, A., Zbinden, H., & Gisin, N. (2014) · Physical Review X · doi:10.1103/physrevx.4.031056 · Cited by 134
Self-citationSecurity analysis of pseudo-random number generators with input
Dodis, Y., Pointcheval, D., Ruhault, S., Vergniaud, D., & Wichs, D. (2013) · ACM SIGSAC Conference on Computer and Communications Security (CCS) · doi:10.1145/2508859.2516653 · Cited by 132
Nie, Y.-Q., Zhang, H.-F., Zhang, Z., Wang, J., Ma, X., Zhang, J., & Pan, J.-W. (2014) · Applied Physics Letters · doi:10.1063/1.4863224 · Cited by 132
Optical quantum random number generator
Stefanov, A., Gisin, N., Guinnard, O., Guinnard, L., & Zbinden, H. (2000) · Journal of Modern Optics · doi:10.1080/09500340008233380 · Cited by 124
Self-citationSemi-device-independent randomness certification using n→1 quantum random access codes
Li, H.-W., Pawłowski, M., Yin, Z., Guo, G., & Han, Z. (2012) · Physical Review A · doi:10.1103/physreva.85.052308 · Cited by 116
Bowles, J., Quintino, M. T., & Brunner, N. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.140407 · Cited by 116
Self-citationQuantum Random Number Generation on a Mobile Phone
Sanguinetti, B., Martin, A., Zbinden, H., & Gisin, N. (2014) · Archive ouverte UNIGE (University of Geneva) · Cited by 107
Self-citationStrong experimental guarantees in ultrafast quantum random number generation
Mitchell, M. W., Abellán, C., & Amaya, W. (2015) · Physical Review A · doi:10.1103/physreva.91.012314 · Cited by 48
True randomness from realistic quantum devicesPreprint
Frauchiger, D., Renner, R., & Troyer, M. (2013) · arXiv (Cornell University) · doi:10.48550/arxiv.1311.4547 · Cited by 46
Detection loophole attacks on semi-device-independent quantum and classical protocols
Dall’Arno, M., Passaro, E., Gallego, R., Pawłowski, M., & Acín, A. (2015) · Quantum Information and Computation · doi:10.26421/qic15.1-2-3 · Cited by 7
Detection loophole attacks on semi-device-independent quantum and classical protocolsPreprint
Dall’Arno, M., Passaro, E., Gallego, R., Pawłowski, M., & Acín, A. (2012) · arXiv (Cornell University) · doi:10.48550/arxiv.1210.1272
Quantum Randomness Certified by the Uncertainty Principle
Vallone, G., Marangon, D., Tomasin, M., & Villoresi, P. (2014) · arXiv · doi:10.48550/arxiv.1401.7917
Quantum randomness protected against detection loophole attacks
Mironowicz, P., Cañas, G., Cariñe, J., Gómez, E. S., Barra, J. F., Cabello, A., Xavier, G. B., Lima, G., & Pawłowski, M. (2014) · arXiv · doi:10.48550/arxiv.1410.3443
Maximization of Extractable Randomness in a Quantum Random-Number Generator
Haw, J. Y., Assad, S. M., Lance, A. M., Ng, N. H. Y., Sharma, V., Lam, P. K., & Symul, T. (2014) · arXiv · doi:10.48550/arxiv.1411.4512
Flagged first, then by citations
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
Cited by
Sorted by citations
Advances in quantum cryptography
Pirandola, S., Andersen, U. L., Banchi, L., Berta, M., Bunandar, D., Colbeck, R., Englund, D., Gehring, T., Lupo, C., Ottaviani, C., et al. (2020) · Advances in Optics and Photonics · doi:10.1364/aop.361502 · Cited by 2,033
Advances in Quantum Cryptography
Pirandola, S., Andersen, U. L., Banchi, L., Berta, M., Bunandar, D., Colbeck, R., Englund, D., Gehring, T., Lupo, C., Ottaviani, C., et al. (2019) · White Rose Research Online (University of Leeds, The University of Sheffield, University of York) · Cited by 1,566
Quantum random number generators
Herrero-Collantes, M., & García-Escartín, J. C. (2017) · Reviews of Modern Physics · doi:10.1103/revmodphys.89.015004 · Cited by 850
Quantum random number generation
Ma, X., Yuan, X., Cao, Z., Qi, B., & Zhang, Z. (2016) · npj Quantum Information · doi:10.1038/npjqi.2016.21 · Cited by 445
Certified randomness in quantum physics
Acín, A., & Masanes, L. (2016) · Nature · doi:10.1038/nature20119 · Cited by 307
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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