CLEO^®/Europe-EQEC 2025 Experimentally Verifiable Criteria for Non-Gaussian Coherence in Bosonic Quantum Systems

Non-Gaussianity is a trademark of bosonic quantum states and a critical resource for advancing quantum technologies like fault-tolerant quantum computing, quantum networks, and high-precision metrology [1]. Unlike Gaussian states, non-Gaussian states cannot be efficiently simulated or characterized using classical methods due to the absence of a canonical representation [2]. In recent years, our group has developed robust capabilities in quantum state engineering and networking applications, exemplified by our generation of non-Gaussian states [3]. However, non-Gaussianity alone does not capture the application-specific properties required for many quan-tum tasks, such as error correction and sensing, where quantum coherence plays an important role. To build on these efforts, we propose a hierarchical framework for assessing non-Gaussian coherence, tailored to the specific requirements of various quantum applications [4].