Free randomness can be amplified
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Any Santha-Vazirani weak source with ε < 0.058 can be amplified into arbitrarily free random bits in a self-testing way using a two-party chained Bell inequality and requiring only no-signalling.
“Using a two-party chained Bell inequality, 71,72 they showed that any Santha -Vazirani weak sources 73 (de fi ned in Methods), with ϵ o 0.058, can be ampli fi ed into arbitrarily free random bits in a self-testing way by requiring only no-signalling.”
From Quantum random number generation (2016) · cites this paper as [70]
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Causal Networks and Freedom of Choice in Bell’s Theorem
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Post-quantum cryptography and the quantum future of cybersecurity
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- Authors
- Colbeck, R., & Renner, R.
- Affiliations
- Perimeter Institute (CA)
- ETH Zurich (CH)
- Corresponding author
- Colbeck, Roger
- Venue
- Nature Physics
- Published
- 2012-05-06
- Volume
- 8
- Issue
- 6
- Pages
- 450-453
- ISSN
- 1745-2473 (ISSN-L)
- 1745-2481
- OpenAlex
- W2082730452
- Cited by
- 379
- References
- 39
- Citations by year
- 2026: 11 · 2025: 16 · 2024: 23 · 2023: 32 · 2022: 19 · 2021: 37 · 2020: 25 · 2019: 43 · 2018: 22 · 2017: 34 · 2016: 33 · 2015: 28 · 2014: 29 · 2013: 18 · 2012: 8
- FWCI
- 13.74
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Nature Physics (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (200020)
- Government of Canada
- Agence Nationale de la Recherche (ANR-11-CHRI-0007)
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung (135048, 200020)
- Industry Canada
- Institut Périmètre de physique théorique
- FP7 Ideas: European Research Council (258932)
- CHIST-ERA
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Acoustics and Ultrasonics › Random lasers and scattering media
- Keywords
- Bell inequalities, measurement choice, quantum randomness, randomness generation, quantum foundations
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