Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Quantum target ranging for LiDAR

Giuseppe Ortolano1,2,3 and Ivano Ruo-Berchera1

Phys. Rev. Research 7, L022059 – Published 9 June, 2025

DOI: https://doi.org/10.1103/PhysRevResearch.7.L022059

Abstract

We investigate Quantum Target Ranging in the context of multihypothesis testing and its applicability to real-world LiDAR systems. First, we demonstrate that ranging is generally an easier task compared to the well-studied problem of target detection. We then analyze the theoretical bounds and advantages of quantum ranging in the context of phase-insensitive measurements, which is the operational mode of most LiDAR systems. Additionally, we adopt a background noise model more suited to optical frequencies, as opposed to the typical single-mode thermal noise model used in quantum target detection theory. Our findings indicate that a significant exponential quantum advantage can be achieved using simple photon-counting receivers across a broad range of parameters, thereby validating the efficacy of the quantum approach for LiDAR implementations.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (60)

  1. C. L. Degen, F. Reinhard, and P. Cappellaro, Quantum sensing, Rev. Mod. Phys. 89, 035002 (2017).
  2. S. Pirandola, B. R. Bardhan, T. Gehring, C. Weedbrook, and S. Lloyd, Advances in photonic quantum sensing, Nat. Photon. 12, 724 (2018).
  3. G. Petrini, E. Moreva, E. Bernardi, P. Traina, G. Tomagra, V. Carabelli, I. P. Degiovanni, and M. Genovese, Is a quantum biosensing revolution approaching? Perspectives in NV-assisted current and thermal biosensing in living cells, Adv. Quantum Technol. 3, 2000066 (2020).
  4. L. Banchi, Q. Zhuang, and S. Pirandola, Quantum-enhanced barcode decoding and pattern recognition, Phys. Rev. Appl. 14, 064026 (2020).
  5. M. Barbieri, Optical quantum metrology, PRX Quantum 3, 010202 (2022).
  6. I. Ruo Berchera, I. P. Degiovanni, S. Olivares, and M. Genovese, Quantum light in coupled interferometers for quantum gravity tests, Phys. Rev. Lett. 110, 213601 (2013).
  7. I. R. Berchera and I. P. Degiovanni, Quantum imaging with sub-Poissonian light: Challenges and perspectives in optical metrology, Metrologia 56, 024001 (2019).
  8. G. Ortolano, C. Napoli, C. Harney, S. Pirandola, G. Leonetti, P. Boucher, E. Losero, M. Genovese, and I. Ruo-Berchera, Quantum-enhanced pattern recognition, Phys. Rev. Appl. 20, 024072 (2023).
  9. J. L. Pereira, L. Banchi, and S. Pirandola, Quantum-enhanced cluster detection in physical images, Phys. Rev. Appl. 19, 054031 (2023).
  10. G. Ortolano, A. Paniate, P. Boucher, C. Napoli, S. Soman, S. F. Pereira, I. Ruo-Berchera, and M. Genovese, Quantum enhanced non-interferometric quantitative phase imaging, Light Sci. Appl. 12, 171 (2023).
  11. L. Maccone and C. Ren, Quantum radar, Phys. Rev. Lett. 124, 200503 (2020).
  12. S. Barzanjeh, S. Guha, C. Weedbrook, D. Vitali, J. H. Shapiro, and S. Pirandola, Microwave quantum illumination, Phys. Rev. Lett. 114, 080503 (2015).
  13. G. Sorelli, N. Treps, F. Grosshans, and F. Boust, Detecting a target with quantum entanglement, IEEE Aerosp. Electron. Syst. Mag. 37, 68 (2022).
  14. J. Zhao, A. Lyons, A. C. Ulku, H. Defienne, D. Faccio, and E. Charbon, Light detection and ranging with entangled photons, Opt. Express 30, 3675 (2022).
  15. R. Gallego Torromé and S. Barzanjeh, Advances in quantum radar and quantum LiDAR, Prog. Quantum Electron. 93, 100497 (2024).
  16. M. F. Sacchi, Entanglement can enhance the distinguishability of entanglement-breaking channels, Phys. Rev. A 72, 014305 (2005).
  17. S. Lloyd, Enhanced sensitivity of photodetection via quantum illumination, Science 321, 1463 (2008).
  18. B. Schwarz, Mapping the world in 3D, Nat. Photon. 4, 429 (2010).
  19. Y. Hong, S. Liu, Z.-P. Li, X. Huang, P. Jiang, Y. Xu, C. Wu, H. Zhou, Y.-C. Zhang, H.-L. Ren, Z.-H. Li, J. Jia, Q. Zhang, C. Li, F. Xu, J.-Y. Wang, and J.-W. Pan, Airborne single-photon LiDAR towards a small-sized and low-power payload, Optica 11, 612 (2024).
  20. R. Murray and A. Lyons, Two-photon interference LiDAR imaging, Opt. Express 30, 27164 (2022).
  21. S.-H. Tan, B. I. Erkmen, V. Giovannetti, S. Guha, S. Lloyd, L. Maccone, S. Pirandola, and J. H. Shapiro, Quantum illumination with Gaussian states, Phys. Rev. Lett. 101, 253601 (2008).
  22. R. Nair, Discriminating quantum-optical beam-splitter channels with number-diagonal signal states: Applications to quantum reading and target detection, Phys. Rev. A 84, 032312 (2011).
  23. R. Nair and M. Gu, Fundamental limits of quantum illumination, Optica 7, 771 (2020).
  24. H. Yang, N. Samantaray, and J. Jeffers, Quantum illumination with multiplexed photodetection, Phys. Rev. Appl. 18, 034021 (2022).
  25. Q. Zhuang, Z. Zhang, and J. H. Shapiro, Entanglement-enhanced Neyman–Pearson target detection using quantum illumination, J. Opt. Soc. Am. B 34, 1567 (2017).
  26. Q. Zhuang, Z. Zhang, and J. H. Shapiro, Entanglement-enhanced lidars for simultaneous range and velocity measurements, Phys. Rev. A 96, 040304(R) (2017).
  27. E. D. Lopaeva, I. Ruo Berchera, I. P. Degiovanni, S. Olivares, G. Brida, and M. Genovese, Experimental realization of quantum illumination, Phys. Rev. Lett. 110, 153603 (2013).
  28. Z. Zhang, M. Tengner, T. Zhong, F. N. C. Wong, and J. H. Shapiro, Entanglement's benefit survives an entanglement-breaking channel, Phys. Rev. Lett. 111, 010501 (2013).
  29. Z. Zhang, S. Mouradian, F. N. C. Wong, and J. H. Shapiro, Entanglement-enhanced sensing in a lossy and noisy environment, Phys. Rev. Lett. 114, 110506 (2015).
  30. S. Barzanjeh, S. Pirandola, D. Vitali, and J. M. Fink, Microwave quantum illumination using a digital receiver, Sci. Adv. 6, eabb0451 (2020).
  31. Q. Zhuang, Z. Zhang, and J. H. Shapiro, Optimum mixed-state discrimination for noisy entanglement-enhanced sensing, Phys. Rev. Lett. 118, 040801 (2017).
  32. S. Guha and B. I. Erkmen, Gaussian-state quantum-illumination receivers for target detection, Phys. Rev. A 80, 052310 (2009).
  33. Q. Zhuang and J. H. Shapiro, Ultimate accuracy limit of quantum pulse-compression ranging, Phys. Rev. Lett. 128, 010501 (2022).
  34. Q. Zhuang and S. Pirandola, Ultimate limits for multiple quantum channel discrimination, Phys. Rev. Lett. 125, 080505 (2020).
  35. Q. Zhuang, Quantum ranging with Gaussian entanglement, Phys. Rev. Lett. 126, 240501 (2021).
  36. J. Tachella, Y. Altmann, N. Mellado, A. McCarthy, R. Tobin, G. S. Buller, J.-Y. Tourneret, and S. McLaughlin, Real-time 3D reconstruction from single-photon lidar data using plug-and-play point cloud denoisers, Nat. Commun. 10, 4984 (2019).
  37. P. McManamon, Review of ladar: A historic, yet emerging, sensor technology with rich phenomenology, Opt. Eng. 51, 060901 (2012).
  38. D. Shin, F. Xu, D. Venkatraman, R. Lussana, F. Villa, F. Zappa, V. K. Goyal, F. N. C. Wong, and J. H. Shapiro, Photon-efficient imaging with a single-photon camera, Nat. Commun. 7, 12046 (2016).
  39. K. Morimoto, A. Ardelean, M.-L. Wu, A. C. Ulku, I. M. Antolovic, C. Bruschini, and E. Charbon, Megapixel time-gated SPAD image sensor for 2D and 3D imaging applications, Optica 7, 346 (2020).
  40. S.-Y. Lee, D. H. Kim, Y. Jo, T. Jeong, Z. Kim, and D. Y. Kim, Bound for Gaussian-state quantum illumination using a direct photon measurement, Opt. Express 31, 38977 (2023).
  41. H. Yang, W. Roga, J. D. Pritchard, and J. Jeffers, Gaussian state-based quantum illumination with simple photodetection, Opt. Express 29, 8199 (2021).
  42. L. Cohen, E. S. Matekole, Y. Sher, D. Istrati, H. S. Eisenberg, and J. P. Dowling, Thresholded quantum LIDAR: Exploiting photon-number-resolving detection, Phys. Rev. Lett. 123, 203601 (2019).
  43. H. Liu, D. Giovannini, H. He, D. England, B. J. Sussman, B. Balaji, and A. S. Helmy, Enhancing LIDAR performance metrics using continuous-wave photon-pair sources, Optica 6, 1349 (2019).
  44. T. Gregory, P.-A. Moreau, E. Toninelli, and M. J. Padgett, Imaging through noise with quantum illumination, Sci. Adv. 6, eaay2652 (2020).
  45. D. G. England, B. Balaji, and B. J. Sussman, Quantum-enhanced standoff detection using correlated photon pairs, Phys. Rev. A 99, 023828 (2019).
  46. S. Frick, A. McMillan, and J. Rarity, Quantum rangefinding, Opt. Express 28, 37118 (2020).
  47. P. S. Blakey, H. Liu, G. Papangelakis, Y. Zhang, Z. M. Léger, M. L. Iu, and A. S. Helmy, Quantum and non-local effects offer over 40 dB noise resilience advantage towards quantum lidar Nat. Commun. 13, 5633 (2022).
  48. K. M. R. Audenaert, J. Calsamiglia, R. Muñoz-Tapia, E. Bagan, L. Masanes, A. Acin, and F. Verstraete, Discriminating states: The quantum Chernoff bound, Phys. Rev. Lett. 98, 160501 (2007).
  49. K. Li, Discriminating quantum states: The multiple Chernoff distance, Ann. Stat. 44, 1661 (2016).
  50. F. Nielsen, An information-geometric characterization of Chernoff information, IEEE Signal Process. Lett. 20, 269 (2013).
  51. G. Ortolano, E. Losero, S. Pirandola, M. Genovese, and I. Ruo-Berchera, Experimental quantum reading with photon counting, Sci. Adv. 7, eabc7796 (2021).
  52. G. Ortolano, P. Boucher, I. P. Degiovanni, E. Losero, M. Genovese, and I. Ruo-Berchera, Quantum conformance test, Sci. Adv. 7, eabm3093 (2021).
  53. J. H. Shapiro, The quantum illumination story, IEEE Aerosp. Electron. Syst. Mag. 35, 8 (2020).
  54. S. Pirandola, Quantum reading of a classical digital memory, Phys. Rev. Lett. 106, 090504 (2011).
  55. G. Ortolano and I. Ruo-Berchera, Quantum readout of imperfect classical data, Sensors 22, 2266 (2022).
  56. C. Helstrom, Quantum Detection and Estimation Theory (Academic Press, New York, 1976).
  57. S. Pirandola, R. Laurenza, C. Ottaviani, and L. Banchi, Fundamental limits of repeaterless quantum communications, Nat. Commun. 8, 15043 (2017).
  58. C. Leang and D. Johnson, On the asymptotics of m-hypothesis Bayesian detection, IEEE Trans. Inf. Theory 43, 280 (1997).
  59. F. Nielsen, Revisiting Chernoff information with likelihood ratio exponential families, Entropy 24, 1400 (2022).
  60. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.7.L022059 for detailed calculations and additional analysis.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation