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| ==Further Information== | | ==Further Information== |
| # [https://core.ac.uk/download/pdf/82447194.pdf BB(1984)] introduces the BB84 protocol, as the name says, by Charles Bennett and Gilles Brassard.
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| # [https://quantum-journal.org/papers/q-2017-07-14-14/ TL(2017)] The derivation of the key length in [[BB84 Quantum Key Distribution#Properties|Properties]], combines the techniques developed in this article and minimum leakage error correcting codes.
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| # [https://tspace.library.utoronto.ca/bitstream/1807/10010/1/Lo_6438_2610.pdf GL03] gives an extended analysis of the BB84 in the finite regime.
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| # Sifting: the BB84 protocol can also be described in a symmetric way. This means that the inputs <math>0</math> and <math>1</math> are chosen with the same probability. In that case only <math>1/2</math> of the generated bits are discarded during the sifting process. Indeed, in the symmetric protocol, Alice and Bob measure in the same basis in about half of the rounds.
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| # [https://dl.acm.org/citation.cfm?id=1058094 LCA05] the asymmetric protocol was introduced to make this more efficient protocol presented in this article.
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| # A post-processing of the key using 2-way classical communication, denoted [[Advantage distillation]], can increase the QBER tolarance up to <math>18.9\%</math> (3).
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| # We remark that in [[BB84 Quantum Key Distribution#Pseudo Code|Pseudo Code]], the QBER in the <math>Z</math> basis is not estimated during the protocol. Instead Alice and Bob make use of a previous estimate for the value of <math>Q_Z</math> and the error correction step, Step 4 in the pseudo-code, will make sure that this estimation is correct. Indeed, if the real QBER is higher than the estimated value <math>Q_Z</math>, [[BB84 Quantum Key Distribution#Pseudo Code|Pseudo Code]] will abort in the Step 4 with very high probability.
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| # The BB84 can be equivalently implemented by distributing [[EPR pairs]] and Alice and Bob making measurements in the <math>Z</math> and <math>X</math> basis, however this required a [[entanglement distribution]] network stage.
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