Device-independent randomness extraction from an arbitrarily weak min-entropy source

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Authors	BOUDA Jan PAWLOWSKI Marcin PIVOLUSKA Matej PLESCH Martin
Year of publication	2014
Type	Article in Periodical
Magazine / Source	Phys. Rev. A
MU Faculty or unit	Faculty of Informatics
Citation
Web	http://journals.aps.org/pra/abstract/10.1103/PhysRevA.90.032313
Doi	http://dx.doi.org/10.1103/PhysRevA.90.032313
Field	Informatics
Keywords	Device independence; Randomness extraction
Description	Expansion and amplification of weak randomness play a crucial role in many security protocols. Using quantum devices, such procedure is possible even without trusting the devices used, by utilizing correlations between outcomes of parts of the devices. We show here how to extract random bits with an arbitrarily low bias from single arbitrarily weak min-entropy block source in a device independent setting. To do this we use Mermin devices that exhibit super-classical correlations. The number of devices used scales polynomially in the length of the random sequence n. Our protocol is robust, it can tolerate devices that malfunction with probability decreasing polynomially in n at the cost of minor increase in the number of devices used.
Related projects:	Weak sources of entanglement and randomness Randomness and Quantum Entanglement Rozsáhlé výpočetní systémy: modely, aplikace a verifikace III.