Closed-form expressions for cubic-phase gate Fock amplitudes on Gaussian states using Airy functions. Solves numerical instabilities at weak nonlinearities crucial for continuous-variable quantum computing experiments.

Closed-form expressions for cubic-phase gate Fock amplitudes on Gaussian states using Airy functions. Solves numerical instabilities at weak nonlinearities crucial for continuous-variable quantum computing experiments.
Researchers determine the minimum memory cost for sequentially emitting Gaussian transformations in modular quantum systems and provide explicit protocols achieving this bound with O(N^(D-1)/D) scaling for lattice structures.
Demonstrated programmable non-Gaussian phase gates using bosonic quantum signal processing on superconducting harmonic oscillators, implementing cubic, double-well, and Morse potentials for quantum simulation of molecular dynamics.