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

By Valerio Scarani, Renato Renner. Physical Review Letters, 2007

305 citations recorded by the source corpus.

We derive a bound for the security of quantum key distribution with finite resources under one-way postprocessing, 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 such as Bennett-Brassard 1984 and six-states protocol. For single-qubit implementations of such protocols, we find that the secret key rate becomes positive when at least N approximately 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.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/a8d83ad044e8dd926a767fc2c1a8871a65fe86dc

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Advances in quantum cryptography (2019, unknown): “Composable security proofs are today known for both discrete- and continuous-variable QKD protocols [55–62].”
Secure quantum key distribution with realistic devices (2020, methodology): “A further development was the security proof for the consideration of finite-key effects in a more rigorous manner (Renner, 2008; Scarani and Renner, 2008; Tomamichel et al., 2012).”
The security of practical quantum key distribution (2008, methodology): “The most recent works comply with the requirements (Hayashi, 2007a; Scarani and Renner, 2008); finite statistics have been incorporated in the analysis of an experiment (Hasegawa et al., 2007).”
Feasibility of satellite quantum key distribution (2009, background): “Recently, Scarani and Renner [34] showed that at least ∼105 signals need to be exchanged and processed for BB84 with one-way post-processing in order to get a nonzero key generation rate.”
High-dimensional quantum cryptography with twisted light (2014, background): “It should be emphasized that our secure key rate analysis assumes an infinite key, while any experimental realization produces only a finite key [29].”