Verifying single-mode nonclassicality beyond negativity in phase space

• URL: http://arxiv.org/abs/2005.05739v2
• Date: Wed, 29 Dec 2021 10:51:30 GMT
• Title: Verifying single-mode nonclassicality beyond negativity in phase space
• Authors: Jiyong Park, Jaehak Lee, Hyunchul Nha
• Abstract summary: We establish a framework of nonclassicality in phase space that addresses nonclassical states comprehensively. We prove that it detects all nonclassical Gaussian states and all non-Gaussian states of arbitrary dimension remarkably. This approach can be adapted to constitute practical tests in two directions looking into particle and wave nature of bosonic systems.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: While negativity in phase space is a well-known signature of nonclassicality, a wide variety of nonclassical states require their characterization beyond negativity. We establish a framework of nonclassicality in phase space that addresses nonclassical states comprehensively with a direct experimental evidence. This includes the negativity of phase-space distribution as a special case and further analyzes quantum states with positive distributions effectively. We prove that it detects all nonclassical Gaussian states and all non-Gaussian states of arbitrary dimension remarkably by examining three phase-space points only. Our formalism also provides an experimentally accessible lower bound for a nonclassicality measure based on trace distance. Importantly, this foundational approach can be further adapted to constitute practical tests in two directions looking into particle and wave nature of bosonic systems, via an array of nonideal on-off detectors and coarse-grained homodyne measurement, respectively. All these tests are practically powerful in characterizing nonclasssical states reliably against noise, making a versatile tool for a broad range of quantum systems in quantum technologies.

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