Adaptivity for non‑Gaussian measurements

Determine whether adaptivity is required for non‑Gaussian measurement strategies to achieve energy‑independent sample complexity in Gaussian state tomography.

Background

The authors establish a non‑Gaussian advantage for passive Gaussian states, showing that non‑Gaussian operations can reduce the sample complexity scaling from n^3/ε^2 to roughly n^2/ε^2.

Whether similar energy‑independence gains require adaptivity when using non‑Gaussian measurements is currently unknown.