Composable security proof for continuous-variable quantum key distribution with coherent States.

By Anthony Leverrier. Physical Review Letters, 2014

314 citations recorded by the source corpus.

We give the first composable security proof for continuous-variable quantum key distribution with coherent states against collective attacks. Crucially, in the limit of large blocks the secret key rate converges to the usual value computed from the Holevo bound. Combining our proof with either the de Finetti theorem or the postselection technique then shows the security of the protocol against general attacks, thereby confirming the long-standing conjecture that Gaussian attacks are optimal asymptotically in the composable security framework. We expect that our parameter estimation procedure, which does not rely on any assumption about the quantum state being measured, will find applications elsewhere, for instance, for the reliable quantification of continuous-variable entanglement in finite-size settings.

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

View Paper: https://www.semanticscholar.org/paper/9885024944dff19f362198c101056ffe5e42f59b

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Citations in the corpus

Self-referenced continuous-variable quantum key distribution protocol (2015, background): “However, with the recent development of higher efﬁciency error correction codes [10–12] and more comprehensive security proofs [13–15] for CV-QKD, it is becoming an attractive alternative to DV-QKD.”
Secure quantum key distribution with realistic devices (2020, background): “…we may not cover too much on some important topics, but we refer the readers to other review articles on the topics of CV-QKD (Diamanti and Leverrier, 2015; Laudenbach et al., 2018; Weedbrook et al., 2012), highdimensional QKD (Xavier and Lima, 2020), quantum repeaters (Munro et al.,…”
Practical challenges in quantum key distribution (2016, unknown): “46 For CV-QKD with coherent states and heterodyne detection, a composable security proof against the most general attacks has recently been provided, 47 but the current proof techniques do not allow a positive key rate for realistic block sizes in this case.”
Distributing Secret Keys with Quantum Continuous Variables: Principle, Security and Implementations (2015, methodology): “Applying the tools of [38,39] or [24] is not straightforward in these cases, because squeezed states and homodyne detection seem to be required in order to use the entropic uncertainty relation, and the protocol must be sufﬁciently symmetric for the analysis of [24] to go through.”
Long-distance continuous-variable quantum key distribution by controlling excess noise (2016, methodology): “From left to right, curves correspond, respectively, to block lengths of = N 10 9 ,10 10 ,10 11 ,10 12 and infinite.”
Continuous‐Variable Quantum Key Distribution with Gaussian Modulation—The Theory of Practical Implementations (2017, methodology): “ ! 2 ; (8.7) where U iare the voltages measured during Nsamples. In the current framework of an asymptotic analysis we ignore the fact that the actual variance might deviate from the MLE and refer to [53] for the detailed estimation procedure that involves the calculation of condence intervals. Acco”