A largely self-contained and complete security proof for quantum key distribution

@article{Tomamichel2015ALS,
  title={A largely self-contained and complete security proof for quantum key distribution},
  author={Marco Tomamichel and Anthony Leverrier},
  journal={arXiv: Quantum Physics},
  year={2015}
}
In this work we present a security analysis for quantum key distribution, establishing a rigorous tradeoff between various protocol and security parameters for a class of entanglement-based and prepare-and-measure protocols. The goal of this paper is twofold: 1) to review and clarify the state-of-the-art security analysis based on entropic uncertainty relations, and 2) to provide an accessible resource for researchers interested in a security analysis of quantum cryptographic protocols that… 

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References

SHOWING 1-10 OF 47 REFERENCES

Postselection technique for quantum channels with applications to quantum cryptography.

A general method for studying properties of quantum channels acting on an n-partite system, whose action is invariant under permutations of the subsystems, and a simple proof for the fact that security of a discrete-variable quantum key distribution protocol against collective attacks implies security of the protocol against the most general attacks.

Efficient Quantum Key Distribution Scheme and a Proof of Its Unconditional Security

A simple modification that essentially doubles the efficiency of the BB84 quantum key distribution scheme and guarantees the security of the scheme against the most general eavesdropping strategy is devised, generalizing Shor and Preskill's proof of security of BB84.

Finite-key security against coherent attacks in quantum key distribution

Finite-key analysis is necessary for finding the maximal achievable secret key rate and the corresponding optimal number of signals and is applied in the analysis of a recently proposed protocol.

Cryptographic security of quantum key distribution

This work provides several examples of QKD composed in sequence and parallel with different cryptographic schemes to illustrate how the error of a composed protocol is the sum of the errors of the individual protocols.

A monogamy-of-entanglement game with applications to device-independent quantum cryptography

This work considers a game in which two separate laboratories collaborate to prepare a quantum system and are then asked to guess the outcome of a measurement performed by a third party in a random basis on that system, and implies that the optimal guessing probability can be achieved without the use of entanglement.

Simple proof of security of the BB84 quantum key distribution protocol

We prove that the 1984 protocol of Bennett and Brassard (BB84) for quantum key distribution is secure. We first give a key distribution protocol based on entanglement purification, which can be

Tight finite-key analysis for quantum cryptography

Here it is shown that gaps between theory and experiment can be simultaneously overcome by using a recently developed proof technique based on the uncertainty relation for smooth entropies.

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

A bound for the security of quantum key distribution with finite resources under one-way postprocessing is derived, based on a definition of security that is composable and has an operational meaning, for standard protocols such as Bennett-Brassard 1984 and six-states protocol.

Concise and tight security analysis of the Bennett–Brassard 1984 protocol with finite key lengths

A tight security analysis of the Bennett–Brassard 1984 protocol takes into account the finite-size effect of key distillation and achieving unconditional security, utilizing the normal approximation of the hypergeometric function.

Sifting attacks in finite-size quantum key distribution

This work shows that iterative sifting leads to two security issues: some rounds are more likely to be key rounds than others, and the public communication of past measurement choices changes this bias round by round, and proves the finite-key security of this combination.