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arXiv · 2512.15453

Solving the inverse parametric problem

Michele Cortinovis·Fabio Lingua·David B. Haviland
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Abstract

We present a method to calculate the frequency components of a pump waveform driving a parametric oscillator, which realizes a desired frequency mixing or scattering between modes. The method is validated by numerical analysis and we study its sensitivity to added Gaussian noise. A series of experiments apply the method and demonstrate its ability to realize complex scattering processes involving many modes at microwave frequencies, including non-reciprocal mode circulation. We also present an approximate method to dynamically control mode scattering, capable of rapidly routing signals between modes in a prescribed manner. These methods are useful tools for encoding and manipulating continuous variable quantum information with multi-modal Gaussian states.

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Michele Cortinovis, Fabio Lingua, David B. Haviland. 2025-12-17. Solving the inverse parametric problem. https://doi.org/10.1103/1bdh-lcxq

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