Experimental violation of Mermin steering inequality by three-photon entangled states with nontrivial GHz-fidelity

Jian Li, Tong Jun Liu, Si Wang, C. Jebarathinam, Qin Wang

Research output: Contribution to journalArticle

Abstract

Einstein-Podolsky-Rosen steering is an intermediate relationship between entanglement and Bell nonlocality in the hierarchical structure of quantum nonlocality. To certify the steerability of the entangled state, Mermin steering inequality is supposed to be violated by exceeding the inequality bound of 2. We present an experimental generation of post-selected three-photon entangled states and witness a maximal violation of the inequality up to 3.50 ± 0.05. In the context of observing the maximal violation of Mermin steering inequality which requires measuring on the GHZ state, we derive a tight lower bound on the GHZ-fidelity that can be certified from the Mermin steering inequality violation. From this bound, it follows that the violation of Mermin steering inequality by 3.5 certifies the GHZ-fidelity of 78.66% at least. On the other hand, the above maximal violation of Mermin steering inequality observed in our experimental setup is produced by a post-selected entangled state having the GHZ-fidelity of 87.25 ± 0.34% through quantum tomography.

Original languageEnglish
Pages (from-to)13559-13567
Number of pages9
JournalOptics Express
Volume27
Issue number9
DOIs
Publication statusPublished - 2019 Apr 29

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All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Cite this

Li, Jian ; Liu, Tong Jun ; Wang, Si ; Jebarathinam, C. ; Wang, Qin. / Experimental violation of Mermin steering inequality by three-photon entangled states with nontrivial GHz-fidelity. In: Optics Express. 2019 ; Vol. 27, No. 9. pp. 13559-13567.
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abstract = "Einstein-Podolsky-Rosen steering is an intermediate relationship between entanglement and Bell nonlocality in the hierarchical structure of quantum nonlocality. To certify the steerability of the entangled state, Mermin steering inequality is supposed to be violated by exceeding the inequality bound of 2. We present an experimental generation of post-selected three-photon entangled states and witness a maximal violation of the inequality up to 3.50 ± 0.05. In the context of observing the maximal violation of Mermin steering inequality which requires measuring on the GHZ state, we derive a tight lower bound on the GHZ-fidelity that can be certified from the Mermin steering inequality violation. From this bound, it follows that the violation of Mermin steering inequality by 3.5 certifies the GHZ-fidelity of 78.66{\%} at least. On the other hand, the above maximal violation of Mermin steering inequality observed in our experimental setup is produced by a post-selected entangled state having the GHZ-fidelity of 87.25 ± 0.34{\%} through quantum tomography.",
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Experimental violation of Mermin steering inequality by three-photon entangled states with nontrivial GHz-fidelity. / Li, Jian; Liu, Tong Jun; Wang, Si; Jebarathinam, C.; Wang, Qin.

In: Optics Express, Vol. 27, No. 9, 29.04.2019, p. 13559-13567.

Research output: Contribution to journalArticle

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