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

BOUDA, Jan, Marcin PAWLOWSKI, Matej PIVOLUSKA and Martin PLESCH. Device-independent randomness extraction from an arbitrarily weak min-entropy source. Phys. Rev. A. USA: The American Physical Society, 2014, vol. 90, No 3, p. 032313-32318. ISSN 1050-2947. Available from: https://dx.doi.org/10.1103/PhysRevA.90.032313.

Basic information

• Original name: Device-independent randomness extraction from an arbitrarily weak min-entropy source
• Authors: BOUDA, Jan (203 Czech Republic, guarantor, belonging to the institution), Marcin PAWLOWSKI (616 Poland), Matej PIVOLUSKA (703 Slovakia, belonging to the institution) and Martin PLESCH (703 Slovakia, belonging to the institution).
• Edition: Phys. Rev. A, USA, The American Physical Society, 2014, 1050-2947.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10201 Computer sciences, information science, bioinformatics
• Country of publisher: United States of America
• Confidentiality degree: is not subject to a state or trade secret
• WWW: URL
• Impact factor: Impact factor: 2.808
• RIV identification code: RIV/00216224:14330/14:00073818
• Organization unit: Faculty of Informatics
• Doi: http://dx.doi.org/10.1103/PhysRevA.90.032313
• UT WoS: 000342132000002
• Keywords in English: Device independence; Randomness extraction
• Tags: International impact, Reviewed

Abstract

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.

Links

• GAP202/12/1142, research and development project: Name: Slabé zdroje entanglementu a náhodnosti

Investor: Czech Science Foundation

• MUNI/A/0855/2013, interní kód MU: Name: Rozsáhlé výpočetní systémy: modely, aplikace a verifikace III. (Acronym: FI MAV III.)

Investor: Masaryk University, Category A

• 323970, interní kód MU: Name: RAQUEL - Randomness and Quantum Entanglement (Acronym: RAQUEL)

Investor: European Union, Randomness and Quantum Entanglement, Cooperation