6,021 research outputs found

    Tight asymptotic key rate for the BB84 protocol with local randomisation and device imprecisions

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    Local randomisation is a preprocessing procedure in which one of the legitimate parties of a quantum key distribution (QKD) scheme adds noise to their version of the key and was found by Kraus et al. [Phys. Rev. Lett. 95, 080501 (2005)] to improve the security of certain QKD protocols. In this article, the improvement yielded by local randomisation is derived for an imperfect implementation of the BB84 QKD protocol, in which the source emits four given but arbitrary pure states and the detector performs arbitrarily-aligned measurements. Specifically, this is achieved by modifying an approach to analysing the security of imperfect variants of the BB84 protocol against collective attacks, introduced in [Phys. Rev. A 88, 012331 (2013)], to include the additional preprocessing step. The previously known improvement to the threshold channel noise, from 11\% to 12.41\%, is recovered in the special case of an ideal BB84 implementation and becomes more pronounced in the case of a nonideal source. Finally, the bound derived for the asymptotic key rate, both with and without local randomisation, is shown to be tight with the particular source characterisation used. This is demonstrated by the explicit construction of a family of source states and optimal attacks for which the key-rate bound is attained with equality

    Early Childhood Development in the SDGs

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    Agreement on the Sustainable Development Goals signals that early childhood development (ECD) will be a priority focus for the twenty-first century. Explicit mention is made in Target 4.2 which states that by 2030 countries should: ‘ensure that all girls and boys have access to quality early childhood development, care and pre-primary education so that they are ready for primary education’. But SDG commitments to ECD are much broader than this education- focused target. This Policy Brief offers five key messages that can underpin delivery of the SDGs through the transformative potential of accessible, inclusive, quality ECD – for all young girls and boys, and for their families
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