algorithms cryptography research

Ring Optimized M-APSK Modulation for Discrete Modulated CV-QKD

Curator's Take

AI Commentary

This article shows that tailoring the geometry and probabilities of multi‑ring APSK constellations can measurably boost the finite‑size secret‑key rate of discrete‑modulated CV‑QKD, extending the reach of a 16‑APSK scheme by roughly 15 % over traditional binomial designs. By directly optimizing the ring radius ratio and probability distribution, the authors narrow the gap between discrete and ideal Gaussian modulation—a key hurdle highlighted in recent security analyses of practical QKD systems. The result is especially promising for low‑complexity hardware where small constellations are preferred, although the gains diminish as constellation size grows and other system imperfections dominate.

— Mark Eatherly

Summary

This paper proposes a multi ring M-APSK constellation optimization method for discrete-modulated continuous variable quantum key distribution. Unlike conventional APSK structures with fixed ring spacing and predefined ring probabilities, the proposed method optimizes the ring radius ratio and ring probability to improve the finite-size secret key rate. A method based on the Gram matrix is used to calculate the nonzero spectrum of the average state $τ$, and fidelity is used to compare the optimized discrete average state with the Gaussian average state. The results show that the proposed structure extends the maximum transmission distance of 16-APSK by approximately 15% compared with the conventional binomial APSK structure. The optimization gain is larger for small size APSK constellations, where the average state has a larger structural gap from Gaussian modulation.