Hierarchical Verification of Non-Gaussian Coherence in Bosonic Quantum States
Abstract
Non-Gaussianity, a distinctive characteristic of bosonic quantum states, is pivotal in advancing quantum networks, fault-tolerant quantum computing, and high-precision metrology. Verifying the quantum nature of a state, particularly its non-Gaussian features, is essential for ensuring the reliability and performance of these technologies. However, the specific properties required for each application demand tailored validation thresholds. Here, we introduce a hierarchical framework comprising absolute, relative, and qubit-specific thresholds to assess the non-Gaussianity of local coherences. We illustrate this framework using heralded optical non-Gaussian states with the highest purities available in optical platforms. This comprehensive framework presents the first detailed evaluation of number state coherences and can be extended to a wide range of bosonic states.
Keywords
Cite
@article{arxiv.2501.14032,
title = {Hierarchical Verification of Non-Gaussian Coherence in Bosonic Quantum States},
author = {Beate E. Asenbeck and Lukáš Lachman and Ambroise Boyer and Priyanka Giri and Alban Urvoy and Radim Filip and Julien Laurat},
journal= {arXiv preprint arXiv:2501.14032},
year = {2025}
}