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基于砷化镓/磷化铟雪崩光电二极管(InGaAs/InP APD)的半导体单光子探测器因工作在通信波段, 且具有体积小、成本低、操作方便等优势, 在实用化量子通信技术中发挥了重要作用. 为尽可能避免暗计数和后脉冲对单光子探测的影响, InGaAs/InP单光子探测器广泛采用门控技术来快速触发和淬灭雪崩效应, 有效门宽通常在纳秒量级. 本文研究揭示了门控下单光子探测器可测量的最大符合时间宽度受限于门控脉冲的宽度, 理论分析与实验结果良好拟合. 该研究表明, 门控下InGaAs/InP单光子探测器用于双光子符合测量具有显著的时域滤波特性, 限制了其在基于双光子时间关联测量的量子信息技术中的应用.Semiconductor single-photon avalanche detectors (SPADs) have played an important role in practical quantum communication technology due to their advantages of small size, low cost and easy operation. Among them, InGaAs/InP SPADs have been widely used in fiber-optic quantum key distribution systems due to their response wavelength range in a near-infrared optical communication band. In order to avoid the influence of dark count and afterpulsing on single photon detection, the gated quenching technologies are widely applied to the InGaAs/InP SPADs. Typically, the duration of gate pulse is set to be as short as a few nanoseconds or even less. As the detection of the arrival of single photons depends on the coincidence between the arrival time of gate pulse and the arrival time of photon, the gate pulse duration of the InGaAs/InP SPADs inevitably affects the effective detection of the single photons. Without the influence of dispersion, the temporal width of the transmitted photons is usually on the order of picoseconds or even less, which is much shorter than the gate width of the InGaAs/InP SPAD. Therefore, the gate width normally has no influence on the temporal measurement of the detected photons. However, in quantum systems involving large dispersion, such as the long-distance fiber-optic quantum communication system, the temporal width of the transmitted photons is significantly broadened by the experienced dispersion so that it may approach to or even exceed the gate width of the single-photon detector. As a result, the effect of the gate width on the recording of the arrival time of the dispersed photons should be taken into account. In this paper, the influence of the gate width coupled to the InGaAs/InP single photon detectors on the measurement of the two-photon coincidence time width is studied both theoretically and experimentally. The theoretical analysis and experimental results are in good agreement with each other, showing that the finally measured coincidence time width of the two-photon state after dispersion is not more than half of the effective gate pulses width. The maximum observable coincidence time width based on the gated single photon detector is fundamentally limited by the gate width, which restricts its applications in quantum information processing based on the two-photon temporal correlation measurement.
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Keywords:
- coincidence detection /
- single-photon detectors /
- gate pulses /
- temporal filtering
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图 1 基于门控下单光子探测器对于纠缠双光子时间关联分布测量时域滤波示意图
Fig. 1. Schematic diagram of time-domain filtering for entangled two-photon correlation measurement with gated mode single-photon detector.
图 2 不同光子带宽的纠缠光源在不同门控信号下, 双光子符合FWHM随SMF长度变化的理论曲线 (a)
$\Delta \lambda = 7.17\;{\rm{nm}}$ ; (b)$\Delta \lambda = 2.46\;{\rm{nm}}$ Fig. 2. The theoretical temporal FWHM result versus the different SMF length under different gate signal for the entangled light with different bandwidth: (a)
$\Delta \lambda = 7.17\;{\rm{nm}}$ ; (b)$\Delta \lambda = 2.46\;{\rm{nm}}$ .
图 3 通信波段频率反关联纠缠光源的产生及其双光子符合测量实验装置图 (a1), (a2)基于I类和II类SPDC的频率纠缠源产生过程; (b)信号光子和闲置光子分别经过光纤SMF1和SMF2的传输过程; (c1), (c2)基于超导纳米线单光子探测器(SNSPD)和InGaAs/InP单光子探测器(SPD4)的测量系统
Fig. 3. Experimental setup diagram of the generation of frequency anti-correlated entangled light sources in the telecommunication band and their two-photon joint distribution measurement after dispersive propagation: (a1), (a2) The generation process of entangled sources from type-I and type-II SPDC pumped by 780 nm quasi-monochromatic laser; (b) photon transmission through sperate single-mode fiber SMF1 and SMF2; (c1), (c2) coincidence measurement system based on the Superconducting nanowire single-photon detectors (SNSPD) and InGaAs/InP single-photon detectors (SPD4).
图 4 基于II类SPDC过程的纠缠光子对, 每臂经过不同长度SMF色散展宽之后, 进行符合测量的结果 (a) 1 km; (b) 3 km; (c) 5 km; (d) 10 km
Fig. 4. The coincidence measurement results of the entangled photon pair from type-II SPDC process when the photon is dispersed by SMF with different lengths: (a) 1 km; (b) 3 km; (c) 5 km; (d) 10 km.
图 5 使用不同类型反关联频率纠缠光源下, 符合测量FWHM随SMF长度变化的测量和理论结果 (a) I类SPDC; (b) II类SPDC
Fig. 5. The measurement and theoretical FWHM results of the temporal coincidence measurement for different types of anti-correlated frequency entangled light with different SMF length: (a) Type I SPDC; (b) Type II SPDC.
图 6 基于I类SPDC的纠缠光子对符合测量时间FWHM随SMF的长度变化的结果
Fig. 6. The measurement FWHM results of the temporal coincidence measurement for type-I SPDC process when the photon is dispersed with different SMF length.
图 7 基于I类SPDC过程的纠缠光子对每臂经过不同长度SMF色散展宽之后, 采用ID210与SPD4进行符合测量的结果 (a) 约1 km; (b) 约3 km
Fig. 7. After each photon is dispersed by the SMF with different lengths, the coincidence measurement of the photon pairs from the type-I SPDC process is made by using ID210 and SPD4: (a) About 1 km; (b) about 3 km.
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[1] Li L, Davis L M 1993 Rev. Sci. Instrum. 64 1524
Google Scholar
[2] Levine B F, Bethea C G, Campbell J C 1985 Appl. Phys. Lett. 46 333
Google Scholar
[3] Levine B F, Bethea C G, Campbell J C 1985 Electron. Lett. 21 194
Google Scholar
[4] Sun X, Krainak M A, Abshire J B, Spinhirne J D, Trottier C, Davies M, Dautet H, Allan G R, Lukemire A T, Vandiver J C 2004 J. Mod. Opt. 51 1333
Google Scholar
[5] Hu J, Li L, Yang W, Manna L, Wang L, Alivisatos A P 2001 Science 292 2060
Google Scholar
[6] Ren M, Gu X, Liang Y, Kong W, Wu E, Wu G, Zeng H 2011 Opt. Express 19 13497
Google Scholar
[7] Keller O 2012 Sci. China, Ser. G 55 1389
Google Scholar
[8] Gisin N, Ribordy G, Tittel W, Zbinden H 2002 Rev. Mod. Phys. 74 145
Google Scholar
[9] Scarani V, Bechmannpasquinucci H, Cerf N J, Dusek M, Lutkenhaus N, Peev M 2009 Rev. Mod. Phys. 81 1301
Google Scholar
[10] Donaldson W R, Marciante J R, Roides R G 2009 IEEE J. Quantum Electron. 46 191
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Google Scholar
[12] Rarity J, Tapster P R 1990 Phys. Rev. Lett. 64 2495
Google Scholar
[13] Valencia A, Scarcelli G, Shih Y 2004 Appl. Phys. Lett. 85 2655
Google Scholar
[14] Quan R, Zhai Y, Wang M, Hou F, Wang S, Xiang X, Liu T, Zhang S, Dong R 2016 Sci. Rep. 6 30453
Google Scholar
[15] Quan R, Dong R, Zhai Y, Hou F, Xiang X, Zhou H, Lv C, Wang Z, You L, Liu T 2019 Opt. Lett. 44 614
Google Scholar
[16] Hou F, Quan R, Dong R, Xiang X, Li B, Liu T, Yang X, Li H, You L, Wang Z 2019 Phys. Rev. A 100
[17] Hadfield R H 2009 Nat. Photonics 3 696
Google Scholar
[18] Zhang J, Itzler M A, Zbinden H, Pan J 2015 Light Sci. Appl. 4 e286
Google Scholar
[19] Cova S, Ghioni M, Lacaita A L, Samori C, Zappa F 1996 Appl. Opt. 35 1956
Google Scholar
[20] Ribordy G, Gautier J, Zbinden H, Gisin N 1998 Appl. Opt. 37 2272
Google Scholar
[21] Namekata N, Sasamori S, Inoue S 2006 Opt. Express 14 10043
Google Scholar
[22] Liang X, Liu J, Wang Q, Du D, Ma J, Jin G, Chen Z, Zhang J, Pan J 2012 Rev. Sci. Instrum. 83 083111
Google Scholar
[23] Walenta N, Lunghi T, Guinnard O, Houlmann R, Zbinden H, Gisin N 2012 J. Appl. Phys. 112 063106
Google Scholar
[24] Yuan Z L, Kardynal B, Sharpe A W, Shields A J 2007 Appl. Phys. Lett. 91 041114
Google Scholar
[25] Chen X, Wu E, Wu G, Zeng H 2010 Opt. Express 18 7010
Google Scholar
[26] Zhang Y, Zhang X, Wang S 2013 Opt. Lett. 38 606
Google Scholar
[27] Liu X, Yao X, Wang H, Li H, Wang Z, You L, Huang Y, Zhang W 2019 Appl. Phys. Lett. 114 141104
Google Scholar
[28] Alikhan I, Broadbent C J, Howell J C 2007 Phys. Rev. Lett. 98 060503
Google Scholar
[29] Shih Y 2007 IEEE J. Sel. Top. Quantum Electron. 13 1016
Google Scholar
[30] Dong S, Zhang W, Huang Y, Peng J 2016 Sci. Rep. 6 26022
Google Scholar
[31] Franson J D 1992 Phys. Rev. A 45 3126
Google Scholar
[32] Giovannetti V, Maccone L, Shapiro J H, Wong F N 2002 Phys. Rev. Lett. 88 183602
Google Scholar
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Google Scholar
[34] Hou F, Xiang X, Quan R, Wang M, Zhai Y, Wang S, Liu T, Zhang S, Dong R 2016 Appl. Phys. B 122 128
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Google Scholar
[36] Ware M, Migdall A L, Bienfang J C, Polyakov S V 2007 J. Mod. Opt. 54 361
Google Scholar
[37] ID Quantique, Photon Counting for Brainies, id https://www. optoscience.com/maker/id/pdf/IDQ_Photon_counting_for_Brainies.pdf [2020-10-06]
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