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Min-entropy uncertainty relation for finite-size cryptography

Min-entropy uncertainty relation for finite-size cryptography

Apart from their foundational significance, entropic uncertainty relations play a central role in proving the security of quantum cryptographic protocols. Of particular interest are therefore relations in terms of the smooth min-entropy for Bennett-Brassard 1984 (BB84) and six-state encodings. The smooth min-entropy ${H}_{\mathrm{min}}^{\ensuremath{\epsilon}}(X/B)$ quantifies the negative logarithm of the probability …