- Letter
- Open Access
Quantum target ranging for LiDAR
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.
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References (60)
- C. L. Degen, F. Reinhard, and P. Cappellaro, Quantum sensing, Rev. Mod. Phys. 89, 035002 (2017).
- S. Pirandola, B. R. Bardhan, T. Gehring, C. Weedbrook, and S. Lloyd, Advances in photonic quantum sensing, Nat. Photon. 12, 724 (2018).
- 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).
- L. Banchi, Q. Zhuang, and S. Pirandola, Quantum-enhanced barcode decoding and pattern recognition, Phys. Rev. Appl. 14, 064026 (2020).
- M. Barbieri, Optical quantum metrology, PRX Quantum 3, 010202 (2022).
- 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).
- I. R. Berchera and I. P. Degiovanni, Quantum imaging with sub-Poissonian light: Challenges and perspectives in optical metrology, Metrologia 56, 024001 (2019).
- 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).
- J. L. Pereira, L. Banchi, and S. Pirandola, Quantum-enhanced cluster detection in physical images, Phys. Rev. Appl. 19, 054031 (2023).
- 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).
- L. Maccone and C. Ren, Quantum radar, Phys. Rev. Lett. 124, 200503 (2020).
- S. Barzanjeh, S. Guha, C. Weedbrook, D. Vitali, J. H. Shapiro, and S. Pirandola, Microwave quantum illumination, Phys. Rev. Lett. 114, 080503 (2015).
- G. Sorelli, N. Treps, F. Grosshans, and F. Boust, Detecting a target with quantum entanglement, IEEE Aerosp. Electron. Syst. Mag. 37, 68 (2022).
- 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).
- R. Gallego Torromé and S. Barzanjeh, Advances in quantum radar and quantum LiDAR, Prog. Quantum Electron. 93, 100497 (2024).
- M. F. Sacchi, Entanglement can enhance the distinguishability of entanglement-breaking channels, Phys. Rev. A 72, 014305 (2005).
- S. Lloyd, Enhanced sensitivity of photodetection via quantum illumination, Science 321, 1463 (2008).
- B. Schwarz, Mapping the world in 3D, Nat. Photon. 4, 429 (2010).
- 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).
- R. Murray and A. Lyons, Two-photon interference LiDAR imaging, Opt. Express 30, 27164 (2022).
- 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).
- 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).
- R. Nair and M. Gu, Fundamental limits of quantum illumination, Optica 7, 771 (2020).
- H. Yang, N. Samantaray, and J. Jeffers, Quantum illumination with multiplexed photodetection, Phys. Rev. Appl. 18, 034021 (2022).
- 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).
- Q. Zhuang, Z. Zhang, and J. H. Shapiro, Entanglement-enhanced lidars for simultaneous range and velocity measurements, Phys. Rev. A 96, 040304(R) (2017).
- 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).
- 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).
- 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).
- S. Barzanjeh, S. Pirandola, D. Vitali, and J. M. Fink, Microwave quantum illumination using a digital receiver, Sci. Adv. 6, eabb0451 (2020).
- Q. Zhuang, Z. Zhang, and J. H. Shapiro, Optimum mixed-state discrimination for noisy entanglement-enhanced sensing, Phys. Rev. Lett. 118, 040801 (2017).
- S. Guha and B. I. Erkmen, Gaussian-state quantum-illumination receivers for target detection, Phys. Rev. A 80, 052310 (2009).
- Q. Zhuang and J. H. Shapiro, Ultimate accuracy limit of quantum pulse-compression ranging, Phys. Rev. Lett. 128, 010501 (2022).
- Q. Zhuang and S. Pirandola, Ultimate limits for multiple quantum channel discrimination, Phys. Rev. Lett. 125, 080505 (2020).
- Q. Zhuang, Quantum ranging with Gaussian entanglement, Phys. Rev. Lett. 126, 240501 (2021).
- 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).
- P. McManamon, Review of ladar: A historic, yet emerging, sensor technology with rich phenomenology, Opt. Eng. 51, 060901 (2012).
- 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).
- 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).
- 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).
- H. Yang, W. Roga, J. D. Pritchard, and J. Jeffers, Gaussian state-based quantum illumination with simple photodetection, Opt. Express 29, 8199 (2021).
- 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).
- 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).
- T. Gregory, P.-A. Moreau, E. Toninelli, and M. J. Padgett, Imaging through noise with quantum illumination, Sci. Adv. 6, eaay2652 (2020).
- D. G. England, B. Balaji, and B. J. Sussman, Quantum-enhanced standoff detection using correlated photon pairs, Phys. Rev. A 99, 023828 (2019).
- S. Frick, A. McMillan, and J. Rarity, Quantum rangefinding, Opt. Express 28, 37118 (2020).
- 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).
- 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).
- K. Li, Discriminating quantum states: The multiple Chernoff distance, Ann. Stat. 44, 1661 (2016).
- F. Nielsen, An information-geometric characterization of Chernoff information, IEEE Signal Process. Lett. 20, 269 (2013).
- G. Ortolano, E. Losero, S. Pirandola, M. Genovese, and I. Ruo-Berchera, Experimental quantum reading with photon counting, Sci. Adv. 7, eabc7796 (2021).
- G. Ortolano, P. Boucher, I. P. Degiovanni, E. Losero, M. Genovese, and I. Ruo-Berchera, Quantum conformance test, Sci. Adv. 7, eabm3093 (2021).
- J. H. Shapiro, The quantum illumination story, IEEE Aerosp. Electron. Syst. Mag. 35, 8 (2020).
- S. Pirandola, Quantum reading of a classical digital memory, Phys. Rev. Lett. 106, 090504 (2011).
- G. Ortolano and I. Ruo-Berchera, Quantum readout of imperfect classical data, Sensors 22, 2266 (2022).
- C. Helstrom, Quantum Detection and Estimation Theory (Academic Press, New York, 1976).
- S. Pirandola, R. Laurenza, C. Ottaviani, and L. Banchi, Fundamental limits of repeaterless quantum communications, Nat. Commun. 8, 15043 (2017).
- C. Leang and D. Johnson, On the asymptotics of m-hypothesis Bayesian detection, IEEE Trans. Inf. Theory 43, 280 (1997).
- F. Nielsen, Revisiting Chernoff information with likelihood ratio exponential families, Entropy 24, 1400 (2022).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.7.L022059 for detailed calculations and additional analysis.