Detection of quantum steering in multipartite continuous-variable Greenberger-Horne-Zeilinger–like states

Meng Wang, Yu Xiang, Qiongyi He, and Qihuang Gong
Phys. Rev. A 91, 012112 – Published 20 January 2015

Abstract

The multipartite entangled state has drawn broad attention for both foundations of quantum mechanics and applications in quantum information processing. Here, we study the spatially separated N-partite continuous-variable Greenberger-Horne-Zeilinger–like states, which can be produced by a linear optical network with squeezed light and N1 beamsplitters. We investigate the properties of multipartite Einstein-Podolsky-Rosen steering possessed by those states, and find that the steering of a given quantum mode is allowed when not less than half of the modes within the states take part in the steering group. This is certified by the detection of the correlation between position and momentum quadratures of the steered mode and a combination of quadratures of other modes inside the steering group. The steering is evidenced by the high correlation where the steering group can infer the quadratures of the steered mode to high precision, i.e., below the quantum limit for the position and momentum quadratures of the steered quantum mode. We also examine the influence of inefficiency on the multipartite steering, and derive the threshold of the loss tolerance. Furthermore, we discuss the collective N-partite steering induced by the asymmetric loss on beams, which exists when a given quantum mode can only be steered by all the remaining N1 modes collaboratively. The present multipartite steering correlation may have potential applications in certain quantum information tasks where the issue of trust is important, such as one-sided device-independent quantum secret sharing.

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  • Received 24 September 2014

DOI:https://doi.org/10.1103/PhysRevA.91.012112

©2015 American Physical Society

Authors & Affiliations

Meng Wang1, Yu Xiang1, Qiongyi He1,2,*, and Qihuang Gong1,2

  • 1State Key Laboratory of Mesoscopic Physics, School of Physics, Peking University, Beijing 100871, P. R. China
  • 2Collaborative Innovation Center of Quantum Matter, Beijing 100871, P. R. China

  • *qiongyihe@pku.edu.cn

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Vol. 91, Iss. 1 — January 2015

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