Entropic entanglement criteria in phase space

2021/06/30 by Stefan Floerchinger, Martin Gärttner, Tobias Haas +2 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Entropy (arrow of time) #Gaussian #Mathematics #Phase space #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Statistical Mechanics and Entropy #Statistical physics #quant-ph

paper · pdf · doi:10.1103/physreva.105.012409

published in Physical Review A 105(1) (American Physical Society) · 7 pages, 2 figures

openalex publication_date 2022/01/05 · arxiv created 2022/01/07 · arxiv updated 2022/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

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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