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From dice to modern complex circuits, there have been many attempts to build increasingly better devices to generate random numbers.
On the Einstein Podolsky Rosen paradox
Bell, J · 1964
Earlier work this paper cites.
Proposed experiment to test local hidden-variable theories
Clauser, J., Horne, A., Shimony, A. & Holt, R · 1969
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Hidden-variable example based upon data rejection
Pearle, P. M · 1970
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Quantum generalizations of Bell’s inequality
Cirel’son, B. S · 1980
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An exchange on local beables
Bell, J. S., Shimony, A., Horne, M. A. & Clauser, J. F · 1985
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Quantum nonlocality as an axiom
Popescu, S. & Rohrlich, D · 1994
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About distances of discrete distributions satisfying the data processing theorem of information theory
Pardo, M. & Vajda, I · 1997
Earlier work this paper cites.
Extracting randomness from samplable distributions
Trevisan, L. & Vadhan, S · 2000
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Extractors and pseudorandom generators
Trevisan, L · 2001
Earlier work this paper cites.
Nonlocal correlations as an information-theoretic resource
Barrrett, J. et al · 2005
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Security of Quantum Key Distribution
Renner, R · 2006
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Quantum and Relativistic Protocols for Secure Multi-Party Computation
Colbeck, R · 2007
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A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
Navascués, M., Pironio, S. & Acín, A · 2008
Earlier work this paper cites.
The bounded-storage model in the presence of a quantum adversary
König, R. & Terhal, B · 2008
Earlier work this paper cites.
Markov chains and mixing times (American Mathematical Soc., 2009)
Levin, D. A., Peres, Y. & Wilmer, E. L · 2009
Earlier work this paper cites.
Random numbers certified by Bell’s theorem
Pironio, S. et al · 2010
Earlier work this paper cites.
Understanding Crypotgraphy (Springer-Verlag Berlin Heidelberg, New York, 2010)
Paar, C. & Pelzl, J · 2010
Cited alongside, same era.
Private randomness expansion with untrusted devices
Colbeck, R. & Kent, A · 2011
Cited alongside, same era.
A public randomness service
Fischer, M. J., Iorga, M. & Peralta, R · 2011
Cited alongside, same era.
Asymptotically optimal data analysis for rejecting local realism
Zhang, Y., Glancy, S. & Knill, E · 2011
Cited alongside, same era.
Test martingales, Bayes factors and p p -values
Shafer, G., Shen, A., Vereshchagin, N. & Vovk, V · 2011
Cited alongside, same era.
Certifiable quantum dice - or, exponential randomness expansion
Vazirani, U. & Vidick, T · 2012
Cited alongside, same era.
Infinite randomness expansion with a constant number of devices
Coudron, M. & Yuen, H · 2014
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Universal security for randomness expansion from the spot-checking protocol (2014)
Miller, C. & Shi, Y · 2014
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Cryptographic security of quantum key distribution (2014)
Portmann, C. & Renner, R · 2014
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Loophole-free Bell inequality violation using electron spins separated by 1.3 km
Hensen, B. et al · 2015
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Strong loophole-free test of local realism
Shalm, L. K. et al · 2015
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Significant-loophole-free test of bell’s theorem with entangled photons
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Mauerer, W., Portmann, C. & Scholz, V · 2012
Cited alongside, same era.
Pseudorandomness , vol. 7 of Foundations and Trends in Theoretical Computer Science (2012)
Vadhan, S. P · 2012
Cited alongside, same era.
Explicit combinatorial design (2012)
Ma, X., Zhang, Z. & Tan, X · 2012
Cited alongside, same era.
Security of practical private randomness generation
Pironio, S. & Massar, S · 2013
Cited alongside, same era.
Security and composability of randomness expansion from Bell inequalities
Fehr, S., Gelles, R. & Schaffner, C · 2013
Cited alongside, same era.
Detecting single infrared photons with 93% system efficiency
Marsili, F. et al · 2013
Cited alongside, same era.
Giustina, M. et al · 2015
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Certified randomness in quantum physics
Acín, A. & Masanes, L · 2016
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Robust protocols for securely expanding randomness and distributing keys using untrusted quantum devices
Miller, C. & Shi, Y · 2016
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Randomness in post-selected events
Thinh, L., de la Torre, G., Bancal, J.-D., Pironio, P. & Scarani, V · 2016
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Dupuis, F., Fawzi, O. & Renner, R · 2016
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Simple and tight device-independent security proofs (2016)
Arnon-Friedman, R., Renner, R. & Vidick, T · 2016
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Geometric decompositions of Bell polytopes with practical applications
Bierhorst, P · 2016
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Device-independent randomness generation from several Bell estimators (2016)
Nieto-Silleras, O., Bamps, C., Silman, J. & Pironio, S · 2016
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Event-ready Bell test using entangled atoms simultaneously closing detection and locality loopholes
Rosenfeld, W. et al · 2017
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Device-independent randomness amplification and privatization (2017)
Kessler, M. & Arnon-Friedman, R · 2017
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Bierhorst, P. et al · 2017
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