Hierarchical Verification of Non-Gaussian Coherence in Bosonic Quantum States

• URL: http://arxiv.org/abs/2501.14032v1
• Date: Thu, 23 Jan 2025 19:00:20 GMT
• Title: Hierarchical Verification of Non-Gaussian Coherence in Bosonic Quantum States
• Authors: Beate E. Asenbeck, Lukáš Lachman, Ambroise Boyer, Priyanka Giri, Alban Urvoy, Radim Filip, Julien Laurat,
• Abstract summary: Non-Gaussianity, a distinctive characteristic of bosonic quantum states, is pivotal in advancing quantum networks. We introduce a hierarchical framework comprising absolute, relative, and qubit-specific thresholds to assess the non-Gaussianity of local coherences.
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• 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.

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