Tripartite entanglement and tripartite steering in three-qubit pure states induced by vacuum--one-photon superpositions

Jian Wang; Huan Liu; Xue-feng Zhan; Xue-xiang Xu

doi:10.1103/PhysRevA.110.022437

paper

Tripartite entanglement and tripartite steering in three-qubit pure states induced by vacuum--one-photon superpositions

arXiv:2401.14328 · doi:10.1103/PhysRevA.110.022437

Abstract

Utilizing a tritter with variable parameter $T$ and induced by vacuum--one-photon superpositions $∣ 0 ⟩ + α ∣ 1 ⟩$ with $α = ∣ α ∣ e^{i ϕ}$ , we propose a scheme to prepare a class of three-qubit pure states. These states take the form of $∣ ψ ⟩_{123} = c_{0} ∣ 000 ⟩ + c_{1} ∣ 100 ⟩ + c_{2} ∣ 010 ⟩ + c_{3} ∣ 001 ⟩$ . The coefficients ( $c_{0}$ , $c_{1}$ , $c_{2}$ , and $c_{3}$ ) can be manipulated through interaction parameters ( $∣ α ∣$ , $ϕ$ , and $T$ ). In line with Xie and Eberly's work[Phys. Rev. Lett. 127, 040403 (2021)], we investigate the genuine tripartite entanglement for $∣ ψ ⟩_{123}$ by using the measure of concurrence fill. Drawing on Hao \textit{et al.}'s research [Phys. Rev. Lett. 128, 120402 (2021)], we examine tripartite steering for $∣ ψ ⟩_{123}$ under certain measurements based on the uncertainty relations criterion. We identify nine potential configurations exhibiting varying steerability across different parameter spaces. It is important to highlight that, while the state $∣ ψ ⟩_{123}$ exhibits entanglement, steering remains unattainable in a substantial portion of the parameter space.

12 pages, 8 figures, close to published version

Tripartite entanglement and tripartite steering in three-qubit pure states induced by vacuum--one-photon superpositions

Abstract

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