Fundamental Finite Key Limits for Information Reconciliation in Quantum Key Distribution

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Conference Proceeding
Proceedings of the IEEE International Symposium on Information Theory (ISIT 2014), 2014, pp. 1469 - 1473
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The security of quantum key distribution protocols is guaranteed by the laws of quantum mechanics. However, a precise analysis of the security properties requires tools from both classical cryptography and information theory. Here, we employ recent results in non-asymptotic classical information theory to show that information reconciliation imposes fundamental limitations on the amount of secret key that can be extracted in the finite key regime. In particular, we find that an often used approximation for the information leakage during information reconciliation is flawed and we propose an improved estimate.
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