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Strong experimental guarantees in ultrafast quantum random number generation

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hdl:2117/26741

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Mitchell, Morgan W.
Abellán, Carlos, 1990-
Amaya, Waldimar
Document typeArticle
Defense date2015-01-12
PublisherAmerican Physical Society
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
ProjectMAGNETOMETRIA ULTRA-PRECISA BASADA EN OPTICA CUANTICA (MICINN-FIS2011-23520)
AQUMET - Atomic Quantum Metrology (EC-FP7-280169)
Abstract
We describe a methodology and standard of proof for experimental claims of quantum random-number generation (QRNG), analogous to well-established methods from precision measurement. For appropriately constructed physical implementations, lower bounds on the quantum contribution to the average min-entropy can be derived from measurements on the QRNG output. Given these bounds, randomness extractors allow generation of nearly perfect “-random” bit streams. An analysis of experimental uncertainties then gives experimentally derived confidence levels on the randomness of these sequences. We demonstrate the methodology by application to phase-diffusion QRNG, driven by spontaneous emission as a trusted randomness source. All other factors, including classical phase noise, amplitude fluctuations, digitization errors, and correlations due to finite detection bandwidth, are treated with paranoid caution, i.e., assuming the worst possible behaviors consistent with observations. A data-constrained numerical optimization of the distribution of untrusted parameters is used to lower bound the average min-entropy. Under this paranoid analysis, the QRNG remains efficient, generating at least 2.3 quantum random bits per symbol with 8-bit digitization and at least 0.83 quantum random bits per symbol with binary digitization at a c
CitationMitchell, Morgan W; Abellan, Carlos; Amaya, Waldimar. Strong experimental guarantees in ultrafast quantum random number generation. "Physical Review A: Atomic, Molecular, and Optical Physics", 12 Gener 2015, vol. 91, núm. 012314. 
URIhttp://hdl.handle.net/2117/26741
ISSN1050-2947
Publisher versionhttp://journals.aps.org/pra/abstract/10.1103/PhysRevA.91.012314
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