Entropic entanglement criteria in phase space

• URL: http://arxiv.org/abs/2106.08788v2
• Date: Fri, 7 Jan 2022 12:12:50 GMT
• Title: Entropic entanglement criteria in phase space
• Authors: Stefan Floerchinger and Martin G\"arttner and Tobias Haas and Oliver R. Stockdale
• Abstract summary: We derive entropic inseparability criteria for the phase space representation of quantum states. Our criteria are based on a joint distribution known as the Husimi Q-distribution. We show that our criteria certify entanglement in previously undetectable regions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We derive entropic inseparability criteria for the phase space representation of quantum states. In contrast to criteria involving differential entropies of marginal phase space distributions, our criteria are based on a joint distribution known as the Husimi Q-distribution. This distribution is experimentally accessible in cold atoms, circuit QED architectures and photonic systems and bears practical advantages compared to the detection of marginals. We exemplify the strengths of our entropic approach by considering several classes of non-Gaussian states where second-order criteria fail. We show that our criteria certify entanglement in previously undetectable regions highlighting the strength of using the Husimi Q-distribution for entanglement detection.

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