Contributed Talks 3: QKD: Security proofs and experiments (Chairs: Roger Colbeck and Li Qian)

Abstract: Quantum key distribution (QKD) protocols with threshold detectors are driving high-performance QKD demonstrations. The corresponding security proofs usually assume that all physical detectors have the same detection efficiency. However, the efficiencies of the detectors used in practice might show a mismatch depending on the manufacturing and setup of these detectors. A mismatch can also be induced as the different spatial-temporal modes of an incoming signal might couple differently to a detector. Here we develop a method that allows to provide security proofs without the usual assumption. Our method can take the detection-efficiency mismatch into account without having to restrict the attack strategy of the adversary. Especially, we do not rely on any photon-number cut-off of incoming signals such that our security proof is complete. Though we consider polarization encoding in the demonstration of our method, the method applies to a variety of coding mechanisms, including time-bin encoding, and also allows for general manipulations of the spatial-temporal modes by the adversary. We thus can close the long-standing question how to provide a valid, complete security proof of a QKD setup with characterized efficiency mismatch. Our method also shows that in the absence of efficiency mismatch, the key rate increases if the loss due to detection inefficiency is assumed to be outside of the adversary's control, as compared to the view where for a security proof this loss is attributed to the action of the adversary.

Abstract: Finite key analysis of quantum key distribution (QKD) is an important tool for any QKD implementation. While much work has been done on the framework of finite key analysis, the application to individual protocols often relies on the the specific protocol being simple or highly symmetric as well as represented in small finite-dimensional Hilbert spaces. In this work, we extend our preexisting reliable, efficient, tight, and generic numerical method for calculating the asymptotic key rate of device-dependent QKD protocols in finite-dimensional Hilbert spaces to the finite key regime using the security analysis framework of Renner. We explain how this extension preserves the reliability, efficiency, and tightness of the asymptotic method. We then explore examples which illustrate both the generality of our method as well as the importance of parameter estimation and data processing within the framework.

Abstract: We experimentally tested an alternative fiber-based setup for 4D-QKD, with time and phase encoding and one-decoy technique. We evaluated the secret key rate achievable in a finite-key scenario and we compared it with the binary-encoded BB84 protocol, which was tested with the same experimental setup. Our 4D-QKD system makes it possible to improve the secret key rate by more than a factor 2 in the saturation-regime of single-photon detectors, without requiring additional expensive resources to the 2D-QKD setup. In comparison to previous works, our scheme allows to measure the 4D states with a simplified and compact receiver, thus making it a cost-effective solution for practical and fiber-based QKD.

Abstract: High-dimensional quantum key distribution (QKD) with path-encoded qudits can largely benefit from the slower phase drifts characteristic of multicore fibers: however, such channels still require phase stabilisation systems to effectively transmit quantum states with an acceptable error rate. We propose a scheme that multiplexes a co-propagating wavelength to use as reference signal in a phase locked loop system, and simultaneously achieves state of the art repetition rates for the high-dimensional QKD system. These factors allow us to design a system that can reach a much higher secret key generation rate over a propagation distance that is order of magnitudes longer than what shown in previous results, making our path-encoded QKD system appealing and comparable in terms of performance with current quantum systems.