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.

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Cited by in corpus (5)

• Optimal Phase-Insensitive Force Sensing with Non-Gaussian States
• Quantum non-Gaussian high Fock states of light pulses and their superpositions
• Certification of stellar ranks of quantum states of light with a pair of click detectors
• A Quantum Non-Gaussianity Criterion Based on Photon Correlations $g^{(2)}$ and $g^{(3)}$
• Direct estimation of arbitrary observables of an oscillator