Distribution and quantification of Wigner negativity remotely generated via Einstein-Podolsky-Rosen steering

Yu Xiang; Shuheng Liu; Jiajie Guo; Qihuang Gong; Nicolas Treps; Qiongyi He; Mattia Walschaers

doi:10.1117/12.2602852

9 October 2021 Distribution and quantification of Wigner negativity remotely generated via Einstein-Podolsky-Rosen steering

Yu Xiang, Shuheng Liu, Jiajie Guo, Qihuang Gong, Nicolas Treps, Qiongyi He, Mattia Walschaers

Author Affiliations +

Proceedings Volume 11905, Quantum and Nonlinear Optics VIII; 1190508 (2021) https://doi.org/10.1117/12.2602852
Event: SPIE/COS Photonics Asia, 2021, Nantong, JS, China

Abstract

Wigner negativity, as a well-known indicator of nonclassicality, plays an essential role in quantum computing and simulation using continuous-variable systems. Recently, it has been proven that Einstein-Podolsky-Rosen steering is a prerequisite to generate Wigner negativity between two remote modes. Motivated by the demand of real-world quantum network, here we investigate the shareability of generated Wigner negativity in the multipartite scenario from a quantitative perspective. By establishing a monogamy relation akin to the generalized Coffman-Kundu-Wootters inequality, we show that the amount of Wigner negativity cannot be freely distributed among different modes. Moreover, for photon subtraction -- one of the main experimentally realized non-Gaussian operation -- we provide a general method to quantify the remotely generated Wigner negativity. With this method, we find that there is no direct quantitative relation between the Gaussian steerability and the amount of generated Wigner negativity. Our results pave the way for exploiting Wigner negativity as a valuable resource for numerous quantum information protocols based on non-Gaussian scenario.

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Yu Xiang, Shuheng Liu, Jiajie Guo, Qihuang Gong, Nicolas Treps, Qiongyi He, and Mattia Walschaers "Distribution and quantification of Wigner negativity remotely generated via Einstein-Podolsky-Rosen steering", Proc. SPIE 11905, Quantum and Nonlinear Optics VIII, 1190508 (9 October 2021); https://doi.org/10.1117/12.2602852

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