Marcus Huber, Marcin Pawlowski
A recent paper introduces an attack on quantum key distribution protocols that exploits imperfect randomness and a sublinear sample size. We show that a generalized attack compromises the security even with a linear size test sample and device independent security considerations. We explicitly derive the sample size needed to retrieve security as a function of the randomness quality. We demonstrate that exploiting features of genuinely higher dimensional systems one can reduce this weakness and provide device independent security more robust against weak randomness sources.
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http://arxiv.org/abs/1301.2455
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