The inverse parametric problem

Fuente: arXiv
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Autori principali: Cortinovis, Michele, Lingua, Fabio, Haviland, David B.
Natura: Preprint
Pubblicazione: 2025
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author Cortinovis, Michele
Lingua, Fabio
Haviland, David B.
author_facet Cortinovis, Michele
Lingua, Fabio
Haviland, David B.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2512_15453
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The inverse parametric problem
Cortinovis, Michele
Lingua, Fabio
Haviland, David B.
Quantum Physics
Applied Physics
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.
title The inverse parametric problem
topic Quantum Physics
Applied Physics
url https://arxiv.org/abs/2512.15453