Complete polarized photons Bell-states and Greenberger&#x2013;Horne&#x2013;Zeilinger-states analysis assisted by atoms

Yan Xia; Yi-Hao Kang; Pei-Min Lu

doi:10.1364/JOSAB.31.002077

Journal of the Optical Society of America B
Vol. 31,
Issue 9,
pp. 2077-2082
(2014)
•https://doi.org/10.1364/JOSAB.31.002077

Complete polarized photons Bell-states and Greenberger–Horne–Zeilinger-states analysis assisted by atoms

Yan Xia, Yi-Hao Kang, and Pei-Min Lu

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Yan Xia, Yi-Hao Kang, and Pei-Min Lu, "Complete polarized photons Bell-states and Greenberger–Horne–Zeilinger-states analysis assisted by atoms," J. Opt. Soc. Am. B 31, 2077-2082 (2014)

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Abstract

We propose an efficient protocol for complete polarized photons Bell-states and Greenberger–Horne–Zeilinger (GHZ)-states analysis assisted by atoms. With the help of assistant atoms and some simple liner optical elements, the analysis of both polarization Bell states and GHZ states can be performed completely. In our protocol, the assistant atoms are trapped in cavity quantum electronic dynamics (QED), which is feasible with current experimental technology. Moreover, the polarized photons entangled states will not be destroyed in our protocol. Therefore, our scheme might contribute to the quantum communication, quantum computation, and some other fields in quantum information processing.

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Input Photon State	${\| + 〉}_{1}$	$H W P_{1}$	${\| + 〉}_{2}$	$H W P_{2}$
$\| ϕ^{+} 〉$	${\| + 〉}_{1}$	$\| ϕ^{+} 〉$	${\| + 〉}_{2}$	$\| ϕ^{+} 〉$
$\| ϕ^{-} 〉$	${\| + 〉}_{1}$	$\| ψ^{+} 〉$	${\| - 〉}_{2}$	$\| ϕ^{-} 〉$
$\| ψ^{+} 〉$	${\| - 〉}_{1}$	$\| ϕ^{-} 〉$	${\| + 〉}_{2}$	$\| ψ^{+} 〉$
$\| ψ^{-} 〉$	${\| - 〉}_{1}$	$- \| ψ^{-} 〉$	${\| - 〉}_{2}$	$\| ψ^{-} 〉$

Measurement Results of Atom States	Corresponding Bell States
$\| +, + 〉$	$\| ϕ^{+} 〉$
$\| +, - 〉$	$\| ϕ^{-} 〉$
$\| -, + 〉$	$\| ψ^{+} 〉$
$\| -, - 〉$	$\| ψ^{-} 〉$

Measurement Results of Atom States	Corresponding GHZ States
$\| +, +, - 〉$	${\| Φ^{+} 〉}^{1}$
$\| +, +, + 〉$	${\| Φ^{-} 〉}^{1}$
$\| +, -, - 〉$	${\| Φ^{+} 〉}^{2}$
$\| +, -, + 〉$	${\| Φ^{-} 〉}^{2}$
$\| -, -, - 〉$	${\| Φ^{+} 〉}^{3}$
$\| -, -, + 〉$	${\| Φ^{-} 〉}^{3}$
$\| -, +, - 〉$	${\| Φ^{+} 〉}^{4}$
$\| -, +, + 〉$	${\| Φ^{-} 〉}^{4}$

Input Photon State	${\| + 〉}_{1}$	$H W P_{1}$	${\| + 〉}_{2}$	$H W P_{2}$
$\| ϕ^{+} 〉$	${\| + 〉}_{1}$	$\| ϕ^{+} 〉$	${\| + 〉}_{2}$	$\| ϕ^{+} 〉$
$\| ϕ^{-} 〉$	${\| + 〉}_{1}$	$\| ψ^{+} 〉$	${\| - 〉}_{2}$	$\| ϕ^{-} 〉$
$\| ψ^{+} 〉$	${\| - 〉}_{1}$	$\| ϕ^{-} 〉$	${\| + 〉}_{2}$	$\| ψ^{+} 〉$
$\| ψ^{-} 〉$	${\| - 〉}_{1}$	$- \| ψ^{-} 〉$	${\| - 〉}_{2}$	$\| ψ^{-} 〉$

Measurement Results of Atom States	Corresponding Bell States
$\| +, + 〉$	$\| ϕ^{+} 〉$
$\| +, - 〉$	$\| ϕ^{-} 〉$
$\| -, + 〉$	$\| ψ^{+} 〉$
$\| -, - 〉$	$\| ψ^{-} 〉$

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Journal of the Optical Society of America B