Analysis of a High-Dimensional Extended B92 Protocol

TL;DR

This paper investigates a high-dimensional extension of the B92 quantum key distribution protocol, demonstrating its ability to generate secure keys over noisy channels with minimal state preparation and partial measurements.

Contribution

It introduces a high-dimensional variant of an extended B92 protocol that can operate effectively in high-noise environments, requiring only three states and partial measurements.

Findings

Protocol can distill keys over high noise channels

Requires only three high-dimensional states from Alice

Bob performs partial measurements

Abstract

Quantum key distribution (QKD) allows two parties to establish a shared secret key that is secure against all-powerful adversaries. One such protocol named B92 is quite appealing due to its simplicity but is highly sensitive to channel noise. In this work, we investigate a high-dimensional variant of an extended version of the B92 protocol and show that it can distill a key over high noise channels. The protocol we consider requires that Alice send only three high-dimensional states and Bob only perform partial measurements. We perform an information-theoretic security analysis of our protocol and compare its key rate to that of a high-dimensional BB84 protocol over depolarization and amplitude damping channels.