• Chinese Optics Letters
  • Vol. 20, Issue 9, 092701 (2022)
Jipeng Wang, Zhenhua Li, Zhongqi Sun, Tianqi Dou, Wenxiu Qu, Fen Zhou, Yanxin Han, Yuqing Huang, and Haiqiang Ma*
Author Affiliations
  • School of Science and State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China
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    DOI: 10.3788/COL202220.092701 Cite this Article
    Jipeng Wang, Zhenhua Li, Zhongqi Sun, Tianqi Dou, Wenxiu Qu, Fen Zhou, Yanxin Han, Yuqing Huang, Haiqiang Ma. Loss-tolerant measurement device independent quantum key distribution with reference frame misalignment[J]. Chinese Optics Letters, 2022, 20(9): 092701 Copy Citation Text show less
    Schematic diagram of phase encoding polarization multiplexing MDI-QKD protocol. BS, beam splitter; PBS, polarization beam splitter; PMZI, polarization-multiplexing Mach–Zehnder interferometer; PC, polarization controller and compensation. The polarization maintaining fibers separated by PBS are colored red and green to represent the orthogonal polarization H and V, respectively. The case is depicted by pulse H (red) and pulse V (green) when |ϕ0X〉A and |ϕ0Z〉B are prepared.
    Fig. 1. Schematic diagram of phase encoding polarization multiplexing MDI-QKD protocol. BS, beam splitter; PBS, polarization beam splitter; PMZI, polarization-multiplexing Mach–Zehnder interferometer; PC, polarization controller and compensation. The polarization maintaining fibers separated by PBS are colored red and green to represent the orthogonal polarization H and V, respectively. The case is depicted by pulse H (red) and pulse V (green) when |ϕ0XA and |ϕ0ZB are prepared.
    Detector result. The figure illustrates how the double click of Charlie’s site detector (DH0, DH1, DV0, DV1 shown in Fig. 1) corresponds to the gains or error rate, when Alice and Bob prepare their states |ϕiα〉A and |ϕjβ〉B. The case is classified by their basis choices α, β and whether their bits are equal or not.
    Fig. 2. Detector result. The figure illustrates how the double click of Charlie’s site detector (DH0, DH1, DV0, DV1 shown in Fig. 1) corresponds to the gains or error rate, when Alice and Bob prepare their states |ϕA and |ϕB. The case is classified by their basis choices α, β and whether their bits are equal or not.
    Comparison of RFI-MDI-QKD with loss-tolerant (LT, solid line) and quantum coin (QC, dashed line) methods with different data sizes ( NMaMb = 1011, 1012, 1013) and the source flaw (δ = 0 or 0.075). The intensities of signal and decoy states are optimized. Other simulation parameters are provided in Table 1.
    Fig. 3. Comparison of RFI-MDI-QKD with loss-tolerant (LT, solid line) and quantum coin (QC, dashed line) methods with different data sizes ( NMaMb = 1011, 1012, 1013) and the source flaw (δ = 0 or 0.075). The intensities of signal and decoy states are optimized. Other simulation parameters are provided in Table 1.
    Key rate versus source flaw δ and phase drift ω in the RFI-MDI-QKD protocol with LT (solid line) and QC (dashed line) methods at the fixed distance of 2 km (red), 20 km (purple), and 40 km (blue).
    Fig. 4. Key rate versus source flaw δ and phase drift ω in the RFI-MDI-QKD protocol with LT (solid line) and QC (dashed line) methods at the fixed distance of 2 km (red), 20 km (purple), and 40 km (blue).
    (a) Key rate of loss-tolerant RFI-MDI-QKD under the joint impact of source flaw δ and phase drift ω ∈ [0, π/2] at 2 km. (b) Key rate ratio (R1/R2) of MDI-QKD to RFI-MDI-QKD protocol with the LT method, which is denoted by R1 and R2, respectively.
    Fig. 5. (a) Key rate of loss-tolerant RFI-MDI-QKD under the joint impact of source flaw δ and phase drift ω ∈ [0, π/2] at 2 km. (b) Key rate ratio (R1/R2) of MDI-QKD to RFI-MDI-QKD protocol with the LT method, which is denoted by R1 and R2, respectively.
    edarkfECNMaMbϵαηdetector
    1×1071.2101310100.2 dB/km15%
    Table 1. Simulation Parameter
    Jipeng Wang, Zhenhua Li, Zhongqi Sun, Tianqi Dou, Wenxiu Qu, Fen Zhou, Yanxin Han, Yuqing Huang, Haiqiang Ma. Loss-tolerant measurement device independent quantum key distribution with reference frame misalignment[J]. Chinese Optics Letters, 2022, 20(9): 092701
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