Abstract
Quantum radar is a promising technology that has been getting attraction in recent years, with possible applications in military and civilian fields. In this chapter, the historical background, developments during the last two decades, proposals that are mainly referred to as quantum radar, and their experimental implementation cases are presented. Throughout this chapter, we will use the term radar to cover both radar and lidar, since quantum “radar” is not a radar in the strict sense of the meaning. It is used as an umbrella term to cover multiple proposals, some of which are capable of only detection and not ranging, with different techniques applicable both in the optical and microwave regimes. Therefore, when the term “quantum radar” is invoked, it is used for multiple purposes that are wider than just a quantum version of the classical radar systems.
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Notes
- 1.
Query used for this search in the ISI database is: (“supersensitivity” AND “fock state”) OR (“heisenberg limit” AND “fock state”) OR (“heisenberg limit” AND “squeezed state”) OR (“supersensitivity” AND “squeezed state”) OR “gaussian state illumination” OR “quantum Illumination” OR “entanglement illumination” OR “quantum radar” OR (“NOON state” AND (“standard quantum limit” OR radar)) OR (“standard quantum limit” AND heisenberg AND measurement AND entanglement) as of August 30th 2020. Afterwards, 203 articles and proceedings were checked manually and 167 of them were found to be acceptable to include into the dataset.
- 2.
For convenience, in these formulas natural units with ħ = 2 are accepted, as in Ref.[74].
References
Lanzagorta, M. (2011). Quantum radar. Synthesis Lectures on Quantum Computing, 3(1), 1–139. https://doi.org/10.2200/S00384ED1V01Y201110QMC005.
Lloyd, S. (2008). Enhanced sensitivity of photodetection via quantum illumination. Science, 321(5895), 1463–1465. ISSN: 0036-8075. https://doi.org/10.1126/science.1160627. https://science.sciencemag.org/content/321/5895/1463.full.pdf. https://science.sciencemag.org/content/321/5895/1463.
Giovannetti, V., Lloyd, S., & Maccone, L. (2001). Quantum-enhanced positioning and clock synchronization. Nature, 412(6845), 417–419. ISSN: 1476–4687. https://doi.org/10.1038/35086525.
Steinhardt, A., & McCrae, J. (2003). Radar in the quantum limit. In IEEE International Symposium on Phased Array Systems and Technology (pp. 31–34).
Zaugg, T. (2004). Entangled-photon range finding system and method
Edward, H. (2005). Allen and Markos Karageorgis. In Radar systems and methods using entangled quantum particles.
Brandsema, M. J., Narayanan, R. M., & Lanzagorta, M. (2016). Theoretical and computational analysis of the quantum radar cross section for simple geometrical targets. Quantum Information Processing, 16(1), 32. ISSN: 1573–1332. https://doi.org/10.1007/s11128-016-1494-6.
Afek, I., Ambar, O., & Silberberg, Y. (2010). High-NOON states by mixing quantum and classical light. Science, 328(5980), 879–881.
Eisert, J., & Plenio, M. B. (1999). A comparison of entanglement measures. Journal of Modern Optics, 46(1), 145–154. https://doi.org/10.1080/09500349908231260. https://www.tandfonline.com/doi/pdf/10.1080/09500349908231260. https://www.tandfonline.com/doi/abs/10.1080/09500349908231260.
Horodecki, M., Horodecki, P., & Horodecki, R. (1998). Mixed-state entanglement and distillation: is there a “Bound” entanglement in nature? Physical Review Letters, 80, 5239–5242. https://doi.org/10.1103/PhysRevLett.80.5239. https://link.aps.org/doi/10.1103/PhysRevLett.80.5239.
Yu, T., & Eberly, J. H. (2009). Sudden death of entanglement. Science, 323(5914), 598–601. ISSN: 0036-8075. https://doi.org/10.1126/science.1167343. https://science.sciencemag.org/content/323/5914/598.full.pdf. https://science.sciencemag.org/content/323/5914/598.
Raimond, J. M., Brune, M., & Haroche, S. (2001). Manipulating quantum entanglement with atoms and photons in a cavity. Reviews of Modern Physics, 73, 565–582. https://doi.org/10.1103/RevModPhys.73.565. https://link.aps.org/doi/10.1103/RevModPhys.73.565.
Bennett, C. H., et al. (1993). Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Physical Review Letters, 70, 1895–1899. https://doi.org/10.1103/PhysRevLett.70.1895. https://link.aps.org/doi/10.1103/PhysRevLett.70.1895.
Mermin, N. D. (1990). Extreme quantum entanglement in a superposition of macroscopically distinct states. Physical Review Letters, 65, 1838–1840. https://doi.org/10.1103/PhysRevLett.65.1838. https://link.aps.org/doi/10.1103/PhysRevLett.65.1838.
Clauser, J. F., et al. (1969). Proposed experiment to test local hidden-variable theories. Physical Review Letters, 23(15), 880–884. https://doi.org/10.1103/PhysRevLett.23.880.
Maccone, L., & Ren, C. (2020). Quantum radar. Physical Review Letters, 124, 200503. https://doi.org/10.1103/PhysRevLett.124.200503. https://link.aps.org/doi/10.1103/PhysRevLett.124.200503.
Luong, D., et al. (2020). Receiver operating characteristics for a prototype quantum two-mode squeezing radar. IEEE Transactions on Aerospace and Electronic Systems, 56(3), 2041–2060.
Sorelli, G., et al. (2020). Detecting a target with quantum entanglement. eprint: ar**v:2005.07116.
Chang, C. W. S., et al. (2019). Quantum-enhanced noise radar. Applied Physics Letters, 114(11), 112601. https://doi.org/10.1063/1.5085002.
Tan, S.-H., et al. (2008). Quantum illumination with Gaussian states. Physical Review Letters, 101, 253601. https://doi.org/10.1103/PhysRevLett.101.253601. https://link.aps.org/doi/10.1103/PhysRevLett.101.253601.
Lopaeva, E. D., et al. (2013). Experimental realization of quantum illumination. Physical Review Letters, 110, 153603. https://doi.org/10.1103/PhysRevLett.110.153603. https://link.aps.org/doi/10.1103/PhysRevLett.110.153603.
Giovannetti, V., Lloyd, S., & Maccone, L. (2004). Quantum-enhanced measurements: beating the standard quantum limit. Science, 306(5700), 1330–1336. ISSN: 0036-8075. https://doi.org/10.1126/science.1104149. https://science.sciencemag.org/content/306/5700/1330.full.pdf. https://science.sciencemag.org/content/306/5700/1330.
Barzanjeh, S., et al. (2015). Microwave quantum illumination. Physical Review Letters, 114, 080503. https://doi.org/10.1103/PhysRevLett.114.080503. https://link.aps.org/doi/10.1103/PhysRevLett.114.080503.
Barzanjeh, S., et al. (2020). Microwave quantum illumination using a digital receiver. Science Advances, 6(19). https://doi.org/10.1126/sciadv.abb0451. https://advances.sciencemag.org/content/6/19/eabb0451.full.pdf. https://advances.sciencemag.org/content/6/19/eabb0451.
Torromé, R. G., Bekhti-Winkel, N. B., & Knott, P. (2020). Introduction to quantum radar. ar**v: 2006.14238. http://arxiv.org/abs/2006.14238.
Harris Corporation. (2009). Quantum sensors program. https://apps.dtic.mil/dtic/tr/fulltext/u2/a506209.pdf.
Lloyd, S. (2008). Quantum illumination. eprint: ar**v:0803.2022.
Shapiro, J. H., & Lloyd, S. (2009). Quantum illumination versus coherent-state target detection. New Journal of Physics, 11(6), 063045. https://doi.org/10.1088/1367-2630/11/6/063045.
Durak, K., Jam, N., & Dindar, C. (2019). Object tracking and identification by quantum radar. ar**v:1908.06850.
Torromé, R. G., Bekhti-Winkel, N. B., & Knott, P. (2020). Quantum illumination with multiple entangled photons. ar**v:2008.09455.
Bell, J. S. (2004). On the Einstein Podolsky Rosen Paradox. In Speakable and unspeakable in quantum mechanics (pp. 14–21). Cambridge University Press.
Greenberger, D. M., et al. (1990). Bell’s theorem without inequalities. American Journal of Physics, 58(12), 1131–1143. https://doi.org/10.1119/1.16243.
Horodecki, M., Horodecki, P., & Horodecki, R. (1996). Separability of mixed states: necessary and sufficient conditions. Physics Letters, A 223(1), 1–8. ISSN: 0375-9601. https://doi.org/10.1016/S0375-9601(96)00706-2. http://www.sciencedirect.com/science/article/pii/S0375960196007062.
Horodecki, P. (1997). Separability criterion and inseparable mixed states with positive partial transposition. Physics Letters A, 232(5), 333–339. ISSN: 0375–9601. https://doi.org/10.1016/S0375-9601(97)00416-7. http://www.sciencedirect.com/science/article/pii/S0375960197004167.
Chruściński, D., & Sarbicki, G. (2014). Entanglement witnesses: construction, analysis and classification. Journal of Physics A: Mathematical and Theoretical, 47(48), 483001. https://doi.org/10.1088/1751-8113/47/48/483001.
Braunstein, S. L., & Caves, C. M. (1994). Statistical distance and the geometry of quantum states. Physical Review Letters, 72, 3439–3443. https://doi.org/10.1103/PhysRevLett.72.3439. https://link.aps.org/doi/10.1103/PhysRevLett.72.3439.
Einstein, A., Podolsky, B., & Rosen, N. (1935). Can quantum-mechanical description of physical reality be considered complete? Physics Review, 47, 777–780. https://doi.org/10.1103/PhysRev.47.777. https://link.aps.org/doi/10.1103/PhysRev.47.777.
Schrödinger, E. (1935). Die gegenwärtige situation in der quantenmechanik. Naturwissenschaften, 23(48), 807–812. ISSN: 1432–1904. https://doi.org/10.1007/BF01491891.
Ekert, A. K. (1991). Quantum cryptography based on Bell’s theorem. Physical Review Letters, 67, 661–663. https://doi.org/10.1103/PhysRevLett.67.661. https://link.aps.org/doi/10.1103/PhysRevLett.67.661.
Bennett, C. H., & Wiesner, S. J. (1992). Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states. Physical Review Letters, 69, 2881–2884. https://doi.org/10.1103/PhysRevLett.69.2881. https://link.aps.org/doi/10.1103/PhysRevLett.69.2881.
Mattle, K., et al. (1996). Dense coding in experimental quantum communication. Physical Review Letters, 76, 4656–4659. https://doi.org/10.1103/PhysRevLett.76.4656. https://link.aps.org/doi/10.1103/PhysRevLett.76.4656.
Horodecki, R., et al. (2009). Quantum entanglement. Reviews of Modern Physics, 81, 865–942. https://doi.org/10.1103/RevModPhys.81.865. https://link.aps.org/doi/10.1103/RevModPhys.81.865.
Kimble, H. J. (2008). The quantum internet. Nature, 453(7198), 1023–1030. ISSN: 1476–4687. https://doi.org/10.1038/nature07127. https://doi.org/10.1038/nature07127.
Amico, L., et al. (2008). Entanglement in many-body systems. Reviews of Modern Physics, 80, 517–576. https://doi.org/10.1103/RevModPhys.80.517. https://link.aps.org/doi/10.1103/RevModPhys.80.517.
Dür, W., & Briegel, H. J. (2007). Entanglement purification and quantum error correction. Reports on Progress in Physics, 70(8), 1381–1424. https://doi.org/10.1088/0034-4885/70/8/r03.
Gühne, O., & Tóth, G. (2009). Entanglement detection. Physics Reports, 474(1), 1–75. ISSN: 0370–1573. https://doi.org/10.1016/j.physrep.2009.02.004. http://www.sciencedirect.com/science/article/pii/S0370157309000623.
Plenio, M. B., & Virmani, S. (2007). An introduction to entanglement measures. Quantum Information and Computation, 7(1), 1–51. ISSN: 1533–7146.
Calabrese, P., & Cardy, J. (2009). Entanglement entropy and conformal field theory. Journal of Physics A: Mathematical and Theoretical, 42(50), 504005. https://doi.org/10.1088/1751-8113/42/50/504005.
Blatt, R., & Wineland, D. (2008). Entangled states of trapped atomic ions. Nature, 453(7198). https://doi.org/10.1038/nature07125.
Heaney, L., & Vedral, V. (2009). Natural mode entanglement as a resource for quantum communication. Physical Review Letters, 103, 200502. https://doi.org/10.1103/PhysRevLett.103.200502. https://link.aps.org/doi/10.1103/PhysRevLett.103.200502.
de Vicente, J. I., Spee, C., & Kraus, B. (2013). Maximally entangled set of multipartite quantum states. Physical Review Letters, 111, 110502. https://doi.org/10.1103/PhysRevLett.111.110502. https://link.aps.org/doi/10.1103/PhysRevLett.111.110502.
Werner, R. F. (1989). Quantum states with Einstein-Podolsky-Rosen correlations admitting a hiddenvariable model. Physical Review A, 40, 4277–4281. https://doi.org/10.1103/PhysRevA.40.4277. https://link.aps.org/doi/10.1103/PhysRevA.40.4277.
Thirring, W., et al. (2011). Entanglement or separability: the choice of how to factorize the algebra of a density matrix. The European Physical Journal D, 64(2), 181–196. ISSN: 1434–6079. https://doi.org/10.1140/epjd/e2011-20452-1.
Mintert, F., Ku ś, M., & Buchleitner, A. (2004). Concurrence of mixed bipartite quantum states in arbitrary dimensions. Physical Review Letters, 92, 167902. https://doi.org/10.1103/PhysRevLett.92.167902. https://link.aps.org/doi/10.1103/PhysRevLett.92.167902.
Cramer, M., Plenio, M. B., & Wunderlich, H. (2011). Measuring entanglement in condensed matter systems. Physical Review Letters, 106, 020401. https://doi.org/10.1103/PhysRevLett.106.020401. https://link.aps.org/doi/10.1103/PhysRevLett.106.020401.
Bennett, C. H., et al. (1999). Quantum nonlocality without entanglement. Physical Review Letters, 59, 1070–1091. https://doi.org/10.1103/PhysRevA.59.1070. https://link.aps.org/doi/10.1103/PhysRevA.59.1070.
Ollivier, H., & Zurek, W. H. (2001). Quantum discord: a measure of the quantumness of correlations. Physical Review Letters, 88, 017901. https://doi.org/10.1103/PhysRevLett.88.017901. https://link.aps.org/doi/10.1103/PhysRevLett.88.017901.
Henderson, L., & Vedral, V. (2001). Classical, quantum and total correlations. Journal of Physics A: Mathematical and General, 34(35), 6899–6905. https://doi.org/10.1088/0305-4470/34/35/315.
Bera, A., et al. (2017). Quantum discord and its allies: a review of recent progress. Reports on Progress in Physics, 81(2), 024001. https://doi.org/10.1088/1361-6633/aa872f.
De Chiara, G., & Sanpera, A. (2018). Genuine quantum correlations in quantum many-body systems: a review of recent progress. Reports on Progress in Physics, 81(7), 074002. https://doi.org/10.1088/1361-6633/aabf61.
Streltsov, A. (2014). Quantum correlations beyond entanglement: And their role in quantum information theory. SpringerBriefs in Physics. Springer International Publishing. ISBN: 978-3319096568. https://books.google.com.tr/books?id=-rQjBQAAQBAJ.
Fanchini, F. F., de Oliveira Soares Pinto, D., & Adesso, G. (2017). Lectures on general quantum correlations and their applications. Quantum Science and Technology. Springer International Publishing. ISBN: 978-3319534121. https://books.google.com.tr/books?id=G3opDwAAQBAJ.
Yuen, H. P. (1986). Amplification of quantum states and noiseless photon amplifiers. Physics Letters A, 113(8), 405–407.
Adnane, H., Teklu, B., & Paris, M. G. A. (2019). Quantum phase communication channels assisted by non-deterministic noiseless amplifiers. JOSA B, 36(11), 2938–2945.
Abram, I., & Levenson, J. A. (1994). Quantum noise in parametric amplification. In Nonlinear spectroscopy of solids (pp. 251–287). Springer.
Zavatta, A., Fiurášek, J., & Bellini, M. (2011). A high-fidelity noiseless amplifier for quantum light states. Nature Photonics, 5(1), 52–56.
He, H., et al. (2020). Non-classical semiconductor photon sources enhancing the performance of classical target detection systems. Journal of Lightwave Technology, 38, 4540–4547.
Boto, A. N., et al. (2000). Quantum interferometric optical lithography: exploiting entanglement to beat the diffraction limit. Physical Review Letters, 85, 2733–2736. https://doi.org/10.1103/PhysRevLett.85.2733. https://link.aps.org/doi/10.1103/PhysRevLett.85.2733.
Israel, Y., Rosen, S., & Silberberg, Y. (2014). Supersensitive polarization microscopy using NOON states of light. Physical Review Letters, 112(10), 103604.
Wang, W., et al. (2019). Heisenberg-limited single-mode quantum metrology in a superconducting circuit. Nature Communications, 10(1), 1–6.
Luo, C., et al. (2017). Heisenberg-limited Sagnac interferometer with multiparticle states. Physical Review A, 95(2), 023608.
Zhou, Z.-Y., et al. (2017). Superresolving phase measurement with short-wavelength noon states by quantum frequency up-conversion. Physical Review Applied, 7(6), 064025.
Smith III, J. F. (2009). Quantum entangled radar theory and a correction method for the effects of the atmosphere on entanglement. In Quantum information and computation VII (Vol. 7342). International Society for Optics and Photonics, 73420A.
Adesso, G., & Illuminati, F. (2007). Entanglement in continuous-variable systems: recent advances and current perspectives. Journal of Physics A: Mathematical and Theoretical, 40(28), 7821–7880. ISSN: 1751–8113. https://doi.org/10.1088/1751-8113/40/28/S01. https://iopscience.iop.org/article/10.1088/1751-8113/40/28/S01.
Wang, X., et al. (2007). Quantum information with Gaussian states. Physics Reports, 448(1–4), 1–111. ISSN: 03701573. https://doi.org/10.1016/j.physrep.2007.04.005. https://linkinghub.elsevier.com/retrieve/pii/S0370157307001822.
Weedbrook, C., et al. (2012). Gaussian quantum information. Reviews of Modern Physics, 84(2), 621–669. ISSN: 00346861. https://doi.org/10.1103/RevModPhys.84.621. eprint: 1110.3234.
Barzanjeh, S., et al. (2019). Stationary entangled radiation from micromechanical motion. Nature, 570(7762), 480–483. ISSN: 0028–0836. https://doi.org/10.1038/s41586-019-1320-2. http://www.nature.com/articles/s41586-019-1320-2.
Zhang, Z., et al. (2015). Entanglement-enhanced sensing in a lossy and noisy environment. Physical Review Letters, 114(11). ISSN: 10797114. https://doi.org/10.1103/PhysRevLett.114.110506. ar**v:1411.5969.
Luong, D., Rajan, S., & Balaji, B. (2020). Quantum two-mode squeezing radar and noise radar: correlation coefficients for target detection. https://doi.org/10.1109/JSEN.2020.2971851. ar**v: 1911.09062.
Shapiro, J. H. (2019). The quantum illumination story. eprint: ar**v:1910.12277.
Brandsema, M. J., Narayanan, R. M., & Lanzagorta, M. O. (2020). Correlation properties of single photon binary waveforms used in quantum radar/lidar. In A. M. Raynal & K. I. Ranney (Ed.), Radar sensor technology XXIV (p. 35). SPIE, Apr. ISBN: 9781510635937. https://doi.org/10.1117/12.2560184. https://www.spiedigitallibrary.org/conference-proceedings-of-spie/11408/2560184/Correlation-properties-of-single-photon-binary-waveforms-used-in-quantum/10.1117/12.2560184.full.
Torromé, R. G., Bekhti-Winkel, N. B., & Knott, P. (2020). Quantum illumination with multiple entangled photons. ar**v preprint ar**v:2008.09455.
Gilbert, G., & Weinstein, Y. S. (2008). Aspects of practical remote quantum sensing. Journal of Modern Optics, 55(19–20), 3283–3291. https://doi.org/10.1080/09500340802428314. https://doi.org/10.1080/09500340802428314.
Gilbert, G., & Hamrick, M. (2000). Practical quantum cryptography: a comprehensive analysis (part one). eprint: ar**v:quant-ph/0009027.
Barnett, S. M., Fabre, C., & Maítre, A. (2003). Ultimate quantum limits for resolution of beam displacements. The European Physical Journal D – Atomic, Molecular, Optical and Plasma Physics, 22(3), 513–519. ISSN: 1434–6079. https://doi.org/10.1140/epjd/e2003-00003-3.
Simon, C., et al. (2010). Quantum memories. The European Physical Journal D, 58(1), 1–22. ISSN: 1434-6079. https://doi.org/10.1140/epjd/e2010-00103-y.
Heshami, K., et al. (2016). Quantum memories: emerging applications and recent advances. Journal of Modern Optics, 63(20), 2005–2028. PMID: 27695198. https://doi.org/10.1080/09500340.2016.1148212.
Hadfield, R. H. (2009). Single-photon detectors for optical quantum information applications. Nature Photonics, 3(12), 696–705. ISSN: 1749-4893. https://doi.org/10.1038/nphoton.2009.230.
Chunnilall, C. J., et al. (2014). Metrology of single-photon sources and detectors: a review. Optical Engineering, 53(8), 1–17. https://doi.org/10.1117/1.OE.53.8.081910.
Maccone, L., & Riccardi, A. (2020). Squeezing metrology: a unified framework. Quantum, 4, 292. ISSN: 2521-327X. https://doi.org/10.22331/q-2020-07-09-292.
Skolnik, M. (2002). Introduction to radar systems. McGraw-Hill Education. ISBN: 0072881380.
Liu, K., et al. (2014). Analysis of quantum radar cross section and its influence on target detection performance. IEEE Photonics Technology Letters, 26(11), 1146–1149.
Fang, C., et al. (2018). The calculation and analysis of the bistatic quantum radar cross section for the typical 2-D plate. IEEE Photonics Journal, 10(2), 1–14.
Chang, C. W. S., et al. (2018). Generating multimode entangled microwaves with a superconducting parametric cavity. Physical Review Applied, 10(4), 044019.
Messaoudi, N., et al. (2020). Quantum-enhanced noise radar. Bulletin of the American Physical Society, 65.
England, D. G., Balaji, B., & Sussman, B. J. (2019). Quantum-enhanced standoff detection using correlated photon pairs. Physical Review A, 99(2), 023828.
Zhang, Z., et al. (2017). Floodlight quantum key distribution: demonstrating a framework for high-rate secure communication. Physical Review A, 95, 012332. https://doi.org/10.1103/PhysRevA.95.012332. https://link.aps.org/doi/10.1103/PhysRevA.95.012332.
Shapiro, J. H., et al. (2019). Quantum low probability of intercept. Journal of the Optical Society of America B: Optical Physics, 36(3), B41–B50. https://doi.org/10.1364/JOSAB.36.000B41. http://josab.osa.org/abstract.cfm?URI=josab-36-3-B41.
Berchera, I. R., & Degiovanni, I. P. (2019). Quantum imaging with sub-Poissonian light: challenges and perspectives in optical metrology. Metrologia, 56(2), 024001. https://doi.org/10.1088/1681-7575/aaf7b2.
Gregory, T., et al. (2020). Imaging through noise with quantum illumination. Science Advances, 6(6) (2020). https://doi.org/10.1126/sciadv.aay2652. https://advances.sciencemag.org/content/6/6/eaay2652.full.pdf. https://advances.sciencemag.org/content/6/6/eaay2652.
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Durak, K., Seskir, Z., Rami, B. (2022). Quantum Radar. In: Iyengar, S.S., Mastriani, M., Kumar, K.L. (eds) Quantum Computing Environments. Springer, Cham. https://doi.org/10.1007/978-3-030-89746-8_4
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