Measurement-device-independent quantum key distribution protocol with phase post-selection

Cong Jiang; Xiao-Long Hu; Zong-Wen Yu; Xiang-Bin Wang

doi:10.1364/PRJ.445617

Photonics Research, Volume. 10, Issue 7, 1703(2022)

Measurement-device-independent quantum key distribution protocol with phase post-selection

Cong Jiang^1,2, Xiao-Long Hu³, Zong-Wen Yu⁴, and Xiang-Bin Wang^{1,2,5,6,7、*}

Author Affiliations

¹Jinan Institute of Quantum Technology, Jinan 250101, China

²State Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing 100084, China

³School of Physics, State Key Laboratory of Optoelectronic Materials and Technologies, Sun Yat-sen University, Guangzhou 510275, China

⁴Data Communication Science and Technology Research Institute, Beijing 100191, China

⁵Shanghai Branch, CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Shanghai 201315, China

⁶Shenzhen Institute for Quantum Science and Engineering, and Physics Department, Southern University of Science and Technology, Shenzhen 518055, China

⁷Frontier Science Center for Quantum Information, Beijing, China

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Figures & Tables(7)

Fig. 1. Comparison of the key rates with this work and the former methods under the symmetric channel. The line of Ref. [38] is the key rates of the double-scanning four-intensity MDI-QKD protocol, and the line of Ref. [29] is the key rates of the original four-intensity MDI-QKD protocol. The experiment parameters are listed in Table 1.

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Fig. 2. Comparison of the key rates with this work and the former methods under the symmetric channels. The experiment parameters here are similar to those in Fig. 1 except that we set N=109 and the misalignment-error probability ed=0.005.

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Fig. 3. Comparison of the key rates with this work and the former methods under the asymmetric channels. The experiment parameters are listed in Table 1, and we set LAC−LBC=20 km.

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Fig. 4. Comparison of the key rates with this work and the former methods under the asymmetric channels. The experiment parameters here are similar to those in Fig. 3 except that we set N=109 and the misalignment-error probability ed=0.005.

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Fig. 5. Bell measurement setup of Charlie [21]. Here we take the polarization-encoding as an example to show the simulation method and the results of the phase-encoding are the same. BS, 50:50 beam splitter; PBS, polarization beam splitter; D1H,D1V,D2H,D2V, single-photon detectors.

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Table 1. List of Experimental Parameters Used in Numerical Simulations^a
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Table 1. List of Experimental Parameters Used in Numerical Simulations^a
$p_{d}$ $e_{d}$ $η_{d}$ $f$ $α_{f}$ $ξ$ $N$
$1.0 \times 10^{- 7}$ 1.5% 40.0% 1.1 0.2 $1.0 \times 10^{- 10}$ $1.0 \times 10^{10}$

Table 2. Key Rates of Some Points in Fig. 1
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Table 2. Key Rates of Some Points in Fig. 1
Methods 30 km 60 km 90 km 100 km
This work $2.24 \times 10^{- 4}$ $2.33 \times 10^{- 5}$ $1.28 \times 10^{- 6}$ $3.13 \times 10^{- 7}$
Ref. [38] $1.64 \times 10^{- 4}$ $1.55 \times 10^{- 5}$ $7.01 \times 10^{- 7}$ $1.29 \times 10^{- 7}$
Ref. [29] $1.33 \times 10^{- 4}$ $9.99 \times 10^{- 6}$ $2.17 \times 10^{- 7}$ 0

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Cong Jiang, Xiao-Long Hu, Zong-Wen Yu, Xiang-Bin Wang, "Measurement-device-independent quantum key distribution protocol with phase post-selection," Photonics Res. 10, 1703 (2022)

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