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

Journals >Photonics Research >Volume 10 >Issue 7 >Page 1703 > Article

Photonics Research
Vol. 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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DOI: 10.1364/PRJ.445617 Cite this Article Set citation alerts

Cong Jiang, Xiao-Long Hu, Zong-Wen Yu, Xiang-Bin Wang. Measurement-device-independent quantum key distribution protocol with phase post-selection[J]. Photonics Research, 2022, 10(7): 1703 Copy Citation Text

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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.

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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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.

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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$p_{d}$	$e_{d}$	$η_{d}$	$f$	$α_{f}$	$ξ$	$N$
$1.0 \times 10^{- 7}$	1.5%	40.0%	1.1	0.2	$1.0 \times 10^{- 10}$	$1.0 \times 10^{10}$

Table 1. List of Experimental Parameters Used in Numerical Simulations^a

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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

Table 2. Key Rates of Some Points in Fig. 1

Cong Jiang, Xiao-Long Hu, Zong-Wen Yu, Xiang-Bin Wang. Measurement-device-independent quantum key distribution protocol with phase post-selection[J]. Photonics Research, 2022, 10(7): 1703

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