Finite-key analysis of the six-state protocol with photon number resolution detectors

Silvestre Abruzzo; Markus Mertz; Hermann Kampermann; Dagmar Bruss

doi:10.1117/12.898049

19 October 2011 Finite-key analysis of the six-state protocol with photon number resolution detectors

Silvestre Abruzzo, Markus Mertz, Hermann Kampermann, Dagmar Bruss

Proceedings Volume 8189, Optics and Photonics for Counterterrorism and Crime Fighting VII; Optical Materials in Defence Systems Technology VIII; and Quantum-Physics-based Information Security; 818917 (2011) https://doi.org/10.1117/12.898049
Event: SPIE Security + Defence, 2011, Prague, Czech Republic

Abstract

The six-state protocol is a discrete-variable protocol for quantum key distribution, that permits to tolerate a noisier channel than the BB84 protocol. In this work we provide a lower bound on the maximum achievable key rate of a practical implementation of the entanglement-based version of the six-state protocol. Regarding the experimental set-up we consider that the source is untrusted and the photon-number statistics is measured using photon-number-resolving detectors. We provide the formula for the key rate for a finite initial number of resources. As an illustration of the considered formalism, we calculate the key rate for the setting where the source produces entangled photon pairs via parametric down-conversion and the losses in the channel depend on the distance. As a result we find that the finite-key corrections for the considered scenario are not negligible and they should be considered in any practical analysis.

Citation Download Citation

Silvestre Abruzzo, Markus Mertz, Hermann Kampermann, and Dagmar Bruss "Finite-key analysis of the six-state protocol with photon number resolution detectors", Proc. SPIE 8189, Optics and Photonics for Counterterrorism and Crime Fighting VII; Optical Materials in Defence Systems Technology VIII; and Quantum-Physics-based Information Security, 818917 (19 October 2011); https://doi.org/10.1117/12.898049

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