Security proofs for QKD can be extended to arbitrary long-range pulse correlations by treating the correlated source as an independent source with additional side-channels, and a new reference technique improves the resulting secret key rates.
In such virtual 13 protocol, Alice sends all the systems B to Bob over a quantum channel, and afterwards they start to measure their systems in order
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Quantum key distribution with correlated sources
Security proofs for QKD can be extended to arbitrary long-range pulse correlations by treating the correlated source as an independent source with additional side-channels, and a new reference technique improves the resulting secret key rates.