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Quantum Cryptography Security

Quantum cryptography with finite resources: unconditional security bound for discrete-variable protocols with one-way post-processing

arXiv
Authors: Valerio Scarani, Renato Renner

Year

2007

Paper ID

49454

Status

Preprint

Abstract Read

~2 min

Abstract Words

100

Citations

N/A

Abstract

We derive a bound for the security of QKD with finite resources under one-way post-processing, based on a definition of security that is composable and has an operational meaning. While our proof relies on the assumption of collective attacks, unconditional security follows immediately for standard protocols like Bennett-Brassard 1984 and six-states. For single-qubit implementations of such protocols, we find that the secret key rate becomes positive when at least N\sim 10^5 signals are exchanged and processed. For any other discrete-variable protocol, unconditional security can be obtained using the exponential de Finetti theorem, but the additional overhead leads to very pessimistic estimates.

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  • This paper contributes to the Quantum Cryptography & Security research area in the Quantum Articles archive.
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  • We derive a bound for the security of QKD with finite resources under one-way post-processing, based on a definition of security that is composable and has an operational meaning.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0708.0709 [2] arXiv https://arxiv.org/abs/0708.0709 [3] Publisher https://arxiv.org/abs/0708.0709

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