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The inverse parametric problem

2025/12/17 by Cortinovis, Michele, Lingua, Fabio, Haviland, David B.
#Applied Physics (physics.app-ph) #FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2512.15453

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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