Exceptional Points as Witnesses of Non-Gaussian Noise

Efficient control of quantum devices requires the knowledge of their environmental noise, yet the commonly measured power spectrum does not fully characterize non-Gaussian fluctuations of realistic environments. Here we show that exceptional points (EPs) in the noise-averaged dephasing response can expose observable signatures of non-Gaussian statistics, distinguishing environments with identical lower-order statistics. We also introduce a theoretical model that describes dephasing environments in terms of identical independent noise sources while preserving the power spectrum. Given a calibrated single-source model, the largest EP order extracted from the measured dephasing response determines the number of sources and predicts the higher-order statistics of the combined noise. We illustrate an atomtronic readout that maps distinct EP signatures onto an evolving ensemble-averaged atomic interference pattern. Our results connect non-Hermitian dynamics to environmental noise statistics, providing a route to characterize noise in quantum devices used in computing, metrology, and precision measurement.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-29
DOI
https://doi.org/10.48550/arxiv.2610.40612
Primary Topic
Quantum Mechanics and Non-Hermitian Physics
Type
preprint
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preprint

Exceptional Points as Witnesses of Non-Gaussian Noise

Aritra Ghosh, Subhashish Banerjee, M. Bhattacharya
arXiv (Cornell University)
Quantum Mechanics and Non-Hermitian Physics
preprint

Exceptional Points as Witnesses of Non-Gaussian Noise

Aritra Ghosh, Subhashish Banerjee, M. Bhattacharya
preprint en

Abstract

Efficient control of quantum devices requires the knowledge of their environmental noise, yet the commonly measured power spectrum does not fully characterize non-Gaussian fluctuations of realistic environments. Here we show that exceptional points (EPs) in the noise-averaged dephasing response can expose observable signatures of non-Gaussian statistics, distinguishing environments with identical lower-order statistics. We also introduce a theoretical model that describes dephasing environments in terms of identical independent noise sources while preserving the power spectrum. Given a calibrated single-source model, the largest EP order extracted from the measured dephasing response determines the number of sources and predicts the higher-order statistics of the combined noise. We illustrate an atomtronic readout that maps distinct EP signatures onto an evolving ensemble-averaged atomic interference pattern. Our results connect non-Hermitian dynamics to environmental noise statistics, providing a route to characterize noise in quantum devices used in computing, metrology, and precision measurement.

arXiv (Cornell University)
Quantum Mechanics and Non-Hermitian Physics
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Exceptional Points as Witnesses of Non-Gaussian Noise — Aritra Ghosh, Subhashish Banerjee, et al. · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS