Robust teleportation and multipartite entanglement analyzers via quantum-dot spins in weak-coupling cavity quantum electrodynamics regime

Tao Yu; Yan-Qiang Ji; Ai-Dong Zhu; Hong-Fu Wang; Shou Zhang

doi:10.1364/JOSAB.29.002029

Robust teleportation and multipartite entanglement analyzers via quantum-dot spins in weak-coupling cavity quantum electrodynamics regime

Tao Yu, Yan-Qiang Ji, Ai-Dong Zhu, Hong-Fu Wang, and Shou Zhang

Journal of the Optical Society of America B
Vol. 29,
Issue 8,
pp. 2029-2034
(2012)
•https://doi.org/10.1364/JOSAB.29.002029

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Tao Yu, Yan-Qiang Ji, Ai-Dong Zhu, Hong-Fu Wang, and Shou Zhang, "Robust teleportation and multipartite entanglement analyzers via quantum-dot spins in weak-coupling cavity quantum electrodynamics regime," J. Opt. Soc. Am. B 29, 2029-2034 (2012)

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Table of Contents Category
- Quantum Optics
Optics & Photonics Topics
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The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Quantum optics (270.0270)
- Quantum information and processing (270.5585)

About this Article
History
- Original Manuscript: March 16, 2012
- Revised Manuscript: June 5, 2012
- Manuscript Accepted: June 6, 2012
- Published: July 18, 2012

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Abstract

We propose a special conditional phase gate (CPG) $\hat{U} (π / 2)$ between the photon and the electron spin confined in a quantum dot (QD) embedded in a microcavity operating in the weak-coupling regime. This CPG $\hat{U} (π / 2)$ provides an optical method to manipulate the QDs with photon parity. By using it, we present a scheme for implementing a state teleportation between two remote QD cavities and a scheme for constructing a photonic Bell-state analyzer. Furthermore, a multipartite Greenberger–Horne–Zeilinger state analyzer is also proposed. This multipartite entanglement analyzer can also be used as a multipartite entanglement generator. All these schemes are operated in the weak-coupling regime, so the high fidelities and efficiencies can be maintained even in the case of a bad cavity, and the schemes are accessible with current technologies.

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Alice’s Measurement	Bob’s State	Local Operation
$\| R 〉 {\| \leftarrow 〉}_{1}$	$α {\| ↓ 〉}_{2} + β {\| ↑ 〉}_{2}$	$σ_{x}$
$\| R 〉 {\| \to 〉}_{1}$	$α {\| ↓ 〉}_{2} - β {\| ↑ 〉}_{2}$	$σ_{x} σ_{z}$
$\| L 〉 {\| \leftarrow 〉}_{1}$	$α {\| ↑ 〉}_{2} - β {\| ↓ 〉}_{2}$	$σ_{z}$
$\| L 〉 {\| \to 〉}_{1}$	$α {\| ↑ 〉}_{2} + β {\| ↓ 〉}_{2}$	$I$

Input State	Electron Spin	Photon Number in $H / V$ Basis
$\| ψ^{+} 〉$	$\| + 〉$	$2 / 0$ or $0 / 2$
$\| ψ^{-} 〉$	$\| + 〉$	$1 / 1$
$\| φ^{+} 〉$	$\| - 〉$	$1 / 1$
$\| φ^{-} 〉$	$\| - 〉$	$2 / 0$ or $0 / 2$

Input State	Spin 1	Spin 2	Photon Number in $H / V$
$\| ϕ^{+} 〉$	$\| - 〉$	$\| - 〉$	$3 / 0$ or $1 / 2$
$\| ϕ^{-} 〉$	$\| - 〉$	$\| - 〉$	$0 / 3$ or $2 / 1$
$\| φ^{+} 〉$	$\| + 〉$	$\| - 〉$	$3 / 0$ or $1 / 2$
$\| φ^{-} 〉$	$\| + 〉$	$\| - 〉$	$0 / 3$ or $2 / 1$
$\| χ^{+} 〉$	$\| - 〉$	$\| + 〉$	$3 / 0$ or $1 / 2$
$\| χ^{-} 〉$	$\| - 〉$	$\| + 〉$	$0 / 3$ or $2 / 1$
$\| ψ^{+} 〉$	$\| + 〉$	$\| + 〉$	$3 / 0$ or $1 / 2$
$\| ψ^{-} 〉$	$\| + 〉$	$\| + 〉$	$0 / 3$ or $2 / 1$

Alice’s Measurement	Bob’s State	Local Operation
$\| R 〉 {\| \leftarrow 〉}_{1}$	$α {\| ↓ 〉}_{2} + β {\| ↑ 〉}_{2}$	$σ_{x}$
$\| R 〉 {\| \to 〉}_{1}$	$α {\| ↓ 〉}_{2} - β {\| ↑ 〉}_{2}$	$σ_{x} σ_{z}$
$\| L 〉 {\| \leftarrow 〉}_{1}$	$α {\| ↑ 〉}_{2} - β {\| ↓ 〉}_{2}$	$σ_{z}$
$\| L 〉 {\| \to 〉}_{1}$	$α {\| ↑ 〉}_{2} + β {\| ↓ 〉}_{2}$	$I$

Input State	Electron Spin	Photon Number in $H / V$ Basis
$\| ψ^{+} 〉$	$\| + 〉$	$2 / 0$ or $0 / 2$
$\| ψ^{-} 〉$	$\| + 〉$	$1 / 1$
$\| φ^{+} 〉$	$\| - 〉$	$1 / 1$
$\| φ^{-} 〉$	$\| - 〉$	$2 / 0$ or $0 / 2$

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