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The nonlocal behavior of quantum mechanics can be used to generate guaranteed fresh randomness from an untrusted device that consists of two nonsignalling components; since the generation process requires some initial fresh randomness to act as a catalyst, one also speaks of randomness expansion.
Can quantum-mechanical description of physical reality be considered complete?
A. Einstein, B. Podolsky, and N. Rosen · 1935
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J.S. Bell · 1964
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Proposed experiment to test local hidden-variable theories
John F. Clauser, Michael A. Horne, Abner Shimony, and Richard A. Holt · 1969
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Algorithms and Complexity: New Directions and Recent Results
D. Knuth and A. Yao · 1976
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Security of Quantum Key Distribution
Renato Renner · 2005
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Bounding the set of quantum correlations
Miguel Navascués, Stefano Pironio, and Antonio Acín · 2007
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Private randomness expansion with untrusted devices
Roger Colbeck and Adrian Kent · 2011
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Security and composability of randomness expansion from bell inequalities
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Device-independent randomness expansion secure against quantum adversaries
S. Pironio and S. Massar · 2011
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Device-independent randomness expansion secure against quantum adversaries
S. Pironio and S. Massar · 2011
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Certifiable quantum dice - or, testable exponential randomness expansion
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Prisoners of their own device: Trojan attacks on device-independent quantum cryptography
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J. Barrett, R. Colbeck, and A. Kent · 2012
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