Hierarchical Verification of Non-Gaussian Coherence in Bosonic Quantum States

Fuente: arXiv
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Autores principales: Asenbeck, Beate E., Lachman, Lukáš, Boyer, Ambroise, Giri, Priyanka, Urvoy, Alban, Filip, Radim, Laurat, Julien
Formato: Preprint
Publicado: 2025
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author Asenbeck, Beate E.
Lachman, Lukáš
Boyer, Ambroise
Giri, Priyanka
Urvoy, Alban
Filip, Radim
Laurat, Julien
author_facet Asenbeck, Beate E.
Lachman, Lukáš
Boyer, Ambroise
Giri, Priyanka
Urvoy, Alban
Filip, Radim
Laurat, Julien
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2501_14032
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Hierarchical Verification of Non-Gaussian Coherence in Bosonic Quantum States
Asenbeck, Beate E.
Lachman, Lukáš
Boyer, Ambroise
Giri, Priyanka
Urvoy, Alban
Filip, Radim
Laurat, Julien
Quantum Physics
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.
title Hierarchical Verification of Non-Gaussian Coherence in Bosonic Quantum States
topic Quantum Physics
url https://arxiv.org/abs/2501.14032