Energetics of non-Gaussianity in single mode cavities
Abstract
Non-Gaussian states are key resources for quantum technologies, making the quantification of non-Gaussianity a fundamental challenge. We introduce an energetic framework for characterizing non-Gaussianity in single-mode bosonic states by decomposing the total energy into Gaussian and non-Gaussian contributions. For pure states, we show that the non-Gaussian energy defines a bona fide measure of non-Gaussianity and establish a direct connection with the relative entropy of non- Gaussianity. As an illustration, we consider non-Gaussian states generated from coherent states with tunable amplitudes using a SNAP gate. We find that the resulting non-Gaussian energy and Wigner negativity are maximized at similar input amplitudes. For mixed states, we demonstrate that the non-Gaussian energy provides a faithful witness of non-Gaussianity. Our results uncover an energetic fine structure of non-Gaussian quantum states and offer new insights into the efficient generation and manipulation of non-Gaussian resources.
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BibTeX
@misc{jafar2026energetics,
title = {{Energetics of non-Gaussianity in single mode cavities}},
author = {Sahil S. Jafar and Kian Hwee Lim and Kiarn T. Laverick and Samyak P. Prasad and Maria Maffei and Alexia Auffèves},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.31150},
eprint = {2606.31150},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.31150},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Energetics of non-Gaussianity in single mode cavities
AU - Sahil S. Jafar
AU - Kian Hwee Lim
AU - Kiarn T. Laverick
AU - Samyak P. Prasad
AU - Maria Maffei
AU - Alexia Auffèves
PY - 2026
DA - 2026/09/15
PB - arXiv
DO - 10.48550/arxiv.2606.31150
UR - https://arxiv.org/abs/2606.31150
AB - Non-Gaussian states are key resources for quantum technologies, making the quantification of non-Gaussianity a fundamental challenge. We introduce an energetic framework for characterizing non-Gaussianity in single-mode bosonic states by decomposing the total energy into Gaussian and non-Gaussian contributions. For pure states, we show that the non-Gaussian energy defines a bona fide measure of non-Gaussianity and establish a direct connection with the relative entropy of non- Gaussianity. As an illustration, we consider non-Gaussian states generated from coherent states with tunable amplitudes using a SNAP gate. We find that the resulting non-Gaussian energy and Wigner negativity are maximized at similar input amplitudes. For mixed states, we demonstrate that the non-Gaussian energy provides a faithful witness of non-Gaussianity. Our results uncover an energetic fine structure of non-Gaussian quantum states and offer new insights into the efficient generation and manipulation of non-Gaussian resources.
ER -