Sensitivity & Resolution of Quantum-Enhanced Imaging: Decoherence, Coherence, and Ancillas

By Bahaa E. A. Saleh

College of Optics and Photonics, University of Central Florida, Orlando, FL

Published on

Abstract

Outline:

  • Brief overview of quantum-enhanced sensing & imaging
  • Quantum limits on precision of phase measurement: combatting decoherence with ancilla
  • Quantum limits on precision of phase-gradient measurement: Role of beam size
  • Quantum limits on two-point resolution: coherence resurrects Rayleigh’s curse

Bio

Bahaa E. A. Saleh Bahaa E. A. Saleh has been distinguished professor of optics and photonics at CREOL, The College of Optics and Photonics, University of Central Florida, since January 2009. He served as dean of CREOL from January 2009 to December 2019. He was a faculty member in the Department of Electrical and Computer Engineering (ECE) at Boston University in 1994-2008, and he served as Chair of that Department in 1994-2007. He also served as Deputy Director of the Gordon Center for Subsurface Sensing and Imaging Systems, an NSF Engineering Research Center in 2000-2008.

He received the B.S. degree from Cairo University in 1966 and the Ph.D. degree from the Johns Hopkins University in 1971, both in electrical engineering. He held faculty and research positions at the University of Santa Catarina in Brazil, Kuwait University, Max Planck Institute in Germany, the University of California-Berkeley, the European Molecular Biology Laboratory, Columbia University, University of Vienna, and the University of Wisconsin-Madison where he was a faculty member from 1977 to 1994 and served as Chair of the Department of Electrical and Computer Engineering from 1990 to 1994.

His research contributions cover a broad spectrum of topics in optics and photonics including statistical and quantum optics, optical communication and signal processing, nonlinear optics, photodetectors, image processing, and vision.

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Cite this work

Researchers should cite this work as follows:

  • Bahaa E. A. Saleh (2020), "Sensitivity & Resolution of Quantum-Enhanced Imaging: Decoherence, Coherence, and Ancillas," https://nanohub.org/resources/31901.

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Location

Hall for Discovery and Learning Research, Purdue University, West Lafayette, IN

Tags

Sensitivity & Resolution of Quantum-Enhanced Imaging: Decoherence, Coherence, and Ancillas
  • Sensitivity & Resolution of Quantum-Enhanced Imaging: Decoherence, Coherence, and Ancillas 1. Sensitivity & Resolution of Qu… 0
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  • Sensitivity & Resolution of Quantum-Enhanced Imaging: Decoherence, Coherence, and Ancillas 2. Sensitivity & Resolution of Qu… 45.779112445779113
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  • Outline 3. Outline 83.216549883216558
    00:00/00:00
  • Quantum Sensing and Imaging 4. Quantum Sensing and Imaging 88.455121788455131
    00:00/00:00
  • Taxonomy of Quantum states of light 5. Taxonomy of Quantum states of … 130.663997330664
    00:00/00:00
  • Taxonomy of Sensing Configurations 6. Taxonomy of Sensing Configurat… 246.5131798465132
    00:00/00:00
  • Phase Sensing 7. Phase Sensing 288.55522188855525
    00:00/00:00
  • Taxonomy of Imaging Configurations 8. Taxonomy of Imaging Configurat… 323.05638972305638
    00:00/00:00
  • Phase Imaging 9. Phase Imaging 374.40774107440774
    00:00/00:00
  • The image-inversion interferometer 10. The image-inversion interferom… 467.73440106773444
    00:00/00:00
  • App 1App Parity analysis 11. App 1App Parity analysis 626.926926926927
    00:00/00:00
  • App 2 Projection on even and odd functions 12. App 2 Projection on even and o… 658.324991658325
    00:00/00:00
  • App 3 Cosine & sine Fourier transforms (concurrent) 13. App 3 Cosine & sine Fourier tr… 687.18718718718719
    00:00/00:00
  • App 4 Interferometry with incoherent light 14. App 4 Interferometry with inco… 701.06773440106781
    00:00/00:00
  • App 4 Interferometry with incoherent light 15. App 4 Interferometry with inco… 752.585919252586
    00:00/00:00
  • App 5 Laser scanning fluorescence microscopy 16. App 5 Laser scanning fluoresce… 836.23623623623632
    00:00/00:00
  • App 6 Cosine transform with incoherent light 17. App 6 Cosine transform with in… 878.7454120787454
    00:00/00:00
  • App 7 Wigner Distribution Function 18. App 7 Wigner Distribution Func… 905.8391725058392
    00:00/00:00
  • Single-photon & two-photon optics 19. Single-photon & two-photon opt… 941.74174174174175
    00:00/00:00
  • Two-Photon Optics 20. Two-Photon Optics 1086.4531197864533
    00:00/00:00
  • Entanglement: a resource for quantum sensing & imaging 21. Entanglement: a resource for q… 1224.3910577243912
    00:00/00:00
  • Two-photon optics of the beam splitter 22. Two-photon optics of the beam … 1250.5839172505839
    00:00/00:00
  • Hong-Ou-Mandel Interferometer 23. Hong-Ou-Mandel Interferometer 1366.2328995662328
    00:00/00:00
  • A few principles from classical & quantum estimation theory 24. A few principles from classica… 1408.2415749082415
    00:00/00:00
  • Quantum 25. Quantum 1512.4124124124126
    00:00/00:00
  • Outline 26. Outline 1617.3506840173507
    00:00/00:00
  • Quantum bounds on Phase Estimation 27. Quantum bounds on Phase Estima… 1628.8288288288288
    00:00/00:00
  • Phase estimation by use of an MZ interferometer 28. Phase estimation by use of an … 1783.3833833833835
    00:00/00:00
  • N photons in 𝑁00𝑁 State 29. N photons in 𝑁00𝑁 State 1866.0660660660662
    00:00/00:00
  • Effect of decoherence on sensitivity 30. Effect of decoherence on sensi… 1891.5915915915916
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  • We can use a reference phase 31. We can use a reference phase 1964.7981314647982
    00:00/00:00
  • Restoration of 2-photon super-sensitivity 32. Restoration of 2-photon super-… 1995.3620286953621
    00:00/00:00
  • Result 33. Result 2054.5879212545879
    00:00/00:00
  • Outline 34. Outline 2089.1891891891892
    00:00/00:00
  • Precision bounds for measurement of phase gradient 35. Precision bounds for measureme… 2095.4621287954624
    00:00/00:00
  • Fisher information for measurement of 𝜃 36. Fisher information for measure… 2251.5849182515849
    00:00/00:00
  • Factor of 2 advantage is lost for large beam width 37. Factor of 2 advantage is lost … 2298.1648314981649
    00:00/00:00
  • Concurrent estimation of phase 𝜑 0 and phase gradient 𝜃 38. Concurrent estimation of phase… 2346.78011344678
    00:00/00:00
  • Single photon 39. Single photon 2386.1194527861194
    00:00/00:00
  • Single photon 40. Single photon 2401.801801801802
    00:00/00:00
  • Single photon 41. Single photon 2405.8391725058391
    00:00/00:00
  • Two photons 42. Two photons 2409.4761428094762
    00:00/00:00
  • Outline 43. Outline 2419.5528862195529
    00:00/00:00
  • Best precision of estimates of 𝑠 44. Best precision of estimates of… 2435.5355355355355
    00:00/00:00
  • Best precision of estimates of the distance between two incoherent point sources 45. Best precision of estimates of… 2519.1191191191192
    00:00/00:00
  • Configuration using an image inversion interferometer and binary measurement 46. Configuration using an image i… 2551.2512512512512
    00:00/00:00
  • Precision bounds on estimates of distance 47. Precision bounds on estimates … 2618.4851518184851
    00:00/00:00
  • Quantum precision bound (Optimal field measurement) 48. Quantum precision bound (Optim… 2638.4718051384721
    00:00/00:00
  • Concluding Remarks 49. Concluding Remarks 2694.4944944944946
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  • Thank you! 50. Thank you! 2755.2886219552888
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