Reply to "comment on 'Fully device-independent conference key agreement'"
J. Ribeiro (TU Delft - QID/Wehner Group, TU Delft - QuTech Advanced Research Centre)
Gláucia Murta (TU Delft - QID/Wehner Group, TU Delft - QuTech Advanced Research Centre)
S. Wehner (TU Delft - QuTech Advanced Research Centre, TU Delft - Quantum Internet Division, TU Delft - Quantum Information and Software)
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Abstract
In this Reply we correct a mistake that we made in the correctness proofs of our protocol. Specifically, the Bell inequality we used ensures security but does not allow us to produce a key. In this Reply we explain and correct this mistake by adjusting the Bell inequality we used in the proof. Incidentally, this correction leads to slightly better asymptotic key rates. Importantly, none of the conclusions of the article are affected.