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Timing jitter induced by stochastic baseline fluctuations in high-count-rate superconducting nanowire single-photon detectors

Dianpeng Wang1,2,3, You Xiao1,2, Jiamin Xiong1,2, Chenrui Wang1,2,3, Zhen Wan1,2, Hongxin Xu1,2,3, Chaomeng Ding1,2,3, Jia Huang1,2, Lixing You1,2,3 et al.

Hao Li1,2,4,*

  • 1Shanghai Key Laboratory of Superconductor Integrated Circuit Technology, Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, Shanghai 200050, China
  • 2National Key Laboratory of Materials for Integrated Circuits, Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, Shanghai 200050, China
  • 3Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Sciences, Beijing 100049, China
  • 4Shanghai Research Center for Quantum Sciences, Shanghai 201315, China

  • *Contact author: lihao@mail.sim.ac.cn

Phys. Rev. Applied 26, 024049 – Published 18 August, 2026

DOI: https://doi.org/10.1103/8yf7-blyh

Abstract

Superconducting nanowire single-photon detectors (SNSPDs) have demonstrated timing jitter in the few-picosecond regime, yet their timing resolution deteriorates substantially under high-count-rate operation. Existing interpretations mainly attribute this degradation to deterministic waveform distortions, such as multiphoton responses and pulse pile-up; however, the experimentally observed jitter broadening at high count rates cannot be fully accounted for within this picture. Here, we show that stochastic baseline fluctuations arising from finite-memory readout dynamics constitute an intrinsic source of the count-rate-dependent timing jitter in SNSPD systems. For stochastically arriving photons, overlapping recovery responses accumulate in the readout chain and generate statistically fluctuating baselines, which are converted into timing uncertainty through threshold-based timing extraction. We develop a stochastic-process framework that quantitatively connects photon statistics, readout dynamics, and timing jitter. The framework predicts characteristic scaling behaviors, including a nonmonotonic dependence of baseline fluctuations under pulsed excitation with a maximum near half of the repetition frequency. These predictions are quantitatively verified through systematic variations of count rate, circuit time constant, and detector dynamical properties. Our results identify stochastic baseline dynamics as a fundamental mechanism limiting timing resolution in high-count-rate SNSPD operation and provide a general framework for optimizing finite-memory high-speed photon-counting systems.

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References (35)

  1. G. N. Gol’tsman, O. Okunev, G. Chulkova, A. Lipatov, A. Semenov, K. Smirnov, B. Voronov, A. Dzardanov, C. Williams, and R. Sobolewski, Picosecond superconducting single-photon optical detector, Appl. Phys. Lett. 79, 705 (2001).
  2. B. Korzh, Q.-Y. Zhao, J. P. Allmaras, S. Frasca, T. M. Autry, E. A. Bersin, A. D. Beyer, R. M. Briggs, B. Bumble, M. Colangelo et al., Demonstration of sub-3 ps temporal resolution with a superconducting nanowire single-photon detector, Nat. Photonics 14, 250 (2020).
  3. I. Esmaeil Zadeh, J. W. N. Los, R. B. M. Gourgues, J. Chang, A. W. Elshaari, J. R. Zichi, Y. J. van Staaden, J. P. E. Swens, N. Kalhor, A. Guardiani et al., Efficient single-photon detection with 7.7 ps time resolution for photon-correlation measurements, ACS Photonics 7, 1780 (2020).
  4. X.-Y. Zhang, W.-J. Zhang, H. Zhou, X.-F. Zhang, L.-X. You, H. Li, D.-H. Fan, Y.-M. Pan, H.-Q. Yu, L.-Y. Li et al., NbN superconducting nanowire single-photon detector with 90.5% saturated system detection efficiency and 14.7 ps system jitter at 1550 nm wavelength, IEEE J. Sel. Top. Quantum Electron. 28, 1 (2022).
  5. A. McCarthy, G. G. Taylor, J. Garcia-Armenta, B. Korzh, D. V. Morozov, A. D. Beyer, R. M. Briggs, J. P. Allmaras, B. Bumble, M. Colangelo et al., High-resolution long-distance depth imaging LiDAR with ultra-low timing jitter superconducting nanowire single-photon detectors, Optica 12, 168 (2025).
  6. I. Esmaeil Zadeh, J. W. N. Los, R. B. M. Gourgues, V. Steinmetz, G. Bulgarini, S. M. Dobrovolskiy, V. Zwiller, and S. N. Dorenbos, Single-photon detectors combining high efficiency, high detection rates, and ultra-high timing resolution, APL Photonics 2, 111301 (2017).
  7. J. Wu, L. You, S. Chen, H. Li, Y. He, C. Lv, Z. Wang, and X. Xie, Improving the timing jitter of a superconducting nanowire single-photon detection system, Appl. Opt. 56, 2195 (2017).
  8. W. Li, L. Zhang, H. Tan, Y. Lu, S.-K. Liao, J. Huang, H. Li, Z. Wang, H.-K. Mao, B. Yan, Q. Li, Y. Liu, Q. Zhang, C.-Z. Peng, L. You, F. Xu, and J.-W. Pan, High-rate quantum key distribution exceeding 110  Mb s−1, Nat. Photonics 17, 416 (2023).
  9. G.-W. Zhang, S.-T. Zheng, Y. Xiao, F.-X. Wang, W.-J. Ding, D.-P. Wang, P.-L. Hao, L. Zhang, J.-L. Chen, Y.-Y. Ding et al., 5-GHz chip-based quantum key distribution with 1 Mbps secure key rate over 150 km, Laser Photonics Rev. 20, e03250 (2026).
  10. F. Grünenfelder, A. Boaron, G. V. Resta, M. Perrenoud, D. Rusca, C. Barreiro, R. Houlmann, R. Sax, L. Stasi, S. El-Khoury et al., Fast single-photon detectors and real-time key distillation enable high secret-key-rate quantum key distribution systems, Nat. Photonics 17, 422 (2023).
  11. H.-S. Zhong, H. Wang, Y.-H. Deng, M.-C. Chen, L.-C. Peng, Y.-H. Luo, J. Qin, D. Wu, X. Ding, Y. Hu et al., Quantum computational advantage using photons, Science 370, 1460 (2020).
  12. H.-S. Zhong, Y.-H. Deng, J. Qin, H. Wang, M.-C. Chen, L.-C. Peng, Y.-H. Luo, D. Wu, S.-Q. Gong, H. Su et al., Phase-programmable Gaussian boson sampling using stimulated squeezed light, Phys. Rev. Lett. 127, 180502 (2021).
  13. Y.-H. Deng, Y.-C. Gu, H.-L. Liu, S.-Q. Gong, H. Su, Z.-J. Zhang, H.-Y. Tang, M.-H. Jia, J.-M. Xu, M.-C. Chen et al., Gaussian boson sampling with Pseudo-photon-number-resolving detectors and quantum computational advantage, Phys. Rev. Lett. 131, 150601 (2023).
  14. Z. Shu, Y. Li, X. Liu, H. Han, Y. Xiao, J. Huang, H. Xu, W. Zhang, L. You, Z. Wang, and H. Li, On-chip superconducting nanowire single-photon detectors integrated with pump rejection for entanglement characterization, Photonics Res. 13, 1067 (2025).
  15. C. Ding, X. Zhang, J. Xiong, Y. Xiao, T. Zhang, J. Huang, H. Xu, X. Liu, L. You, Z. Wang, and H. Li, Photon-number-resolving single-photon detector with a system detection efficiency of 98% and photon-number resolution of 32, ACS Photonics 12, 4924 (2025).
  16. Y. Xiao, S. Wei, J. Xu, R. Ma, X. Liu, X. Zhang, T. H. Tao, H. Li, Z. Wang, L. You, and Z. Wang, Superconducting single-photon spectrometer with 3D-printed photonic-crystal filters, ACS Photonics 9, 3450 (2022).
  17. J.-N. Zhang, R. Yang, X.-H. Li, C.-W. Sun, Y.-C. Liu, Y. Wei, J.-C. Duan, Z.-D. Xie, Y.-X. Gong, and S.-N. Zhu, Realization of a source-device-independent quantum random number generator secured by nonlocal dispersion cancellation, Adv. Photonics 5, 036003 (2023).
  18. F. I. Khatri, B. S. Robinson, M. D. Semprucci, and D. M. Boroson, Lunar laser communication demonstration operations architecture, Acta Astronaut. 111, 77 (2015).
  19. H. Ivanov, S. Mejri, A. Di Mira, K. J. Schulz, and C. Heese, Review of deep space optical communications, Int. J. Satell. Commun. Networking 43, 193 (2025).
  20. H. Hao, Q.-Y. Zhao, Y.-H. Huang, J. Deng, F. Yang, S.-Y. Ru, Z. Liu, C. Wan, H. Liu, Z.-J. Li, H.-B. Wang, X.-C. Tu, L.-B. Zhang, X.-Q. Jia, X.-L. Wu, J. Chen, L. Kang, and P.-H. Wu, A compact multi-pixel superconducting nanowire single-photon detector array supporting gigabit space-to-ground communications, Light Sci. Appl. 13, 25 (2024).
  21. H. Li, K. Zheng, R. Ge, L. Zhang, L. Zhang, W. He, B. Zhang, M. Wu, B. Wang, M. Mi, Y. Guan, J. Tan, H. Wang, Q. Chen, X. Tu, Q. Zhao, X. Jia, J. Chen, L. Kang, Q. Chen, and P. Wu, Noise-tolerant LiDAR approaching the standard quantum-limited precision, Light Sci. Appl. 14, 138 (2025).
  22. H. Zhou, Y.-H. He, C.-L. Lü, L.-X. You, Z.-H. Li, G. Wu, W.-J. Zhang, L. Zhang, X.-Y. Liu, X.-Y. Yang, and Z. Wang, Photon-counting chirped amplitude modulation lidar system using superconducting nanowire single-photon detector at 1550-nm wavelength*, Chin. Phys. B 27, 018501 (2018).
  23. I. Craiciu, B. Korzh, A. D. Beyer, A. Mueller, J. P. Allmaras, L. Narváez, M. Spiropulu, B. Bumble, T. Lehner, E. E. Wollman, and M. D. Shaw, High-speed detection of 1550 nm single photons with superconducting nanowire detectors, Optica 10, 183 (2023).
  24. J.-X. Chen and H. Li, Research progress of high speed superconducting nanowire single-photon detector, J. Funct. Mater. Devices 31, 1 (2025).
  25. L. Stasi, T. Taher, G. V. Resta, H. Zbinden, R. Thew, and F. Bussières, Enhanced detection rate and high photon-number efficiencies with a scalable parallel SNSPD, ACS Photonics 12, 320 (2025).
  26. D. Wang, Y. Xiao, Z. Wan, C. Ding, H. Xu, J. Huang, J. Xiong, L. You, and H. Li, Origins and correction of secondary peaks in timing jitter of high-speed superconducting nanowire single-photon detectors, Appl. Phys. Lett. 128, 162601 (2026).
  27. A. Mueller, E. E. Wollman, B. Korzh, A. D. Beyer, L. Narvaez, R. Rogalin, M. Spiropulu, and M. D. Shaw, Time-walk and jitter correction in SNSPDs at high count rates, Appl. Phys. Lett. 122, 044001 (2023).
  28. T. Schapeler, N. Lamberty, T. Hummel, F. Schlue, M. Stefszky, B. Brecht, C. Silberhorn, and T. J. Bartley, Electrical trace analysis of superconducting nanowire photon-number-resolving detectors, Phys. Rev. Appl. 22, 014024 (2024).
  29. G. F. Knoll, Radiation Detection and Measurement (John Wiley & Sons, New York, 2010).
  30. R. N. Clark, B. Puzio, O. M. Green, S. T. Pradyumna, O. Trojak, A. Politi, and J. C. F. Matthews, Integrated photonics for continuous-variable quantum optics, Nat. Photonics 20, 489 (2026).
  31. A. M. Fox, Quantum Optics: An Introduction (Oxford University Press, New York, 2006).
  32. N. Campbell, The study of discontinuous phenomena (1909).
  33. P. Hu, H. Li, L. You, H. Wang, Y. Xiao, J. Huang, X. Yang, W. Zhang, Z. Wang, and X. Xie, Detecting single infrared photons toward optimal system detection efficiency, Opt. Express 28, 36884 (2020).
  34. J.-M. Xiong, W.-J. Zhang, G.-Z. Xu, L.-X. You, X.-Y. Zhang, L. Zhang, C.-J. Zhang, D.-H. Fan, Y.-Z. Wang, H. Li, and Z. Wang, Reducing current crowding in meander superconducting strip single-photon detectors by thickening bends, Supercond. Sci. Technol. 35, 055015 (2022).
  35. H. Xu, H. Han, Y. Xiao, J. Xiong, C. Ding, Z. Shu, Y. Li, X. Liu, L. You, Z. Wang, and H. Li, Impact of distributed Bragg reflectors on the intrinsic detection efficiency of superconducting nanowire single-photon detectors, Superconductivity 13, 100152 (2025).

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