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Rayleigh's criterion for resolving two incoherent point sources has been the most influential measure of optical imaging resolution for over a century.
Leonard Mandel, “Fluctuations of photon beams: The distribution of the photo-electrons,” Proceedings of the Physical Society 74
1959
Earlier work this paper cites.
Carl W. Helstrom, “Resolution of point sources of light as analyzed by quantum detection theory,” IEEE Transactions on Information Theory 19
1973
Earlier work this paper cites.
Carl W. Helstrom, Quantum Detection and Estimation Theory (Academic Press, New York, 1976)
1976
Earlier work this paper cites.
Horace P. Yuen and Jeffrey H. Shapiro, “Optical communication with two-photon coherent states–Part I: Quantum-state propagation and quantum-noise,” IEEE Transactions on Information Theory 24
1978
Earlier work this paper cites.
Lennart Lindegren, “Photoelectric astrometry - A comparison of methods for precise image location,” in IAU Colloq. 48: Modern Astrometry , edited by F. V. Prochazka and R. H. Tucker (1978) pp. 197–217
1978
Earlier work this paper cites.
D. R. Cox and D. V. Hinkley, Theoretical Statistics (Chapman & Hall/CRC, Boca Raton, 1979)
1979
Earlier work this paper cites.
Ivan R. King, “Accuracy of measurement of star images on a pixel array,” Publications of the Astronomical Society of the Pacific 95
1983
Earlier work this paper cites.
Joseph W. Goodman, Statistical Optics (Wiley, New York, 1985)
1985
Earlier work this paper cites.
W. V. Sorin, B. Y. Kim, and H. J. Shaw, “Highly selective evanescent modal filter for two-mode optical fibers,” Optics Letters 11
1986
Earlier work this paper cites.
Norman Bobroff, “Position measurement with a resolution and noise-limited instrument,” Review of Scientific Instruments 57
1986
Earlier work this paper cites.
Amnon Yariv, Quantum Electronics (Wiley, New York, 1989)
1989
Earlier work this paper cites.
Stefan W. Hell and Jan Wichmann, “Breaking the diffraction resolution limit by stimulated emission: stimulated-emission-depletion fluorescence microscopy,” Opt. Lett. 19
1994
Earlier work this paper cites.
Samuel L. Braunstein and Carlton M. Caves, “Statistical distance and the geometry of quantum states,” Phys. Rev. Lett. 72
1994
Earlier work this paper cites.
Eric Betzig, “Proposed method for molecular optical imaging,” Opt. Lett. 20
1995
Earlier work this paper cites.
Leonard Mandel and Emil Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995)
1995
Earlier work this paper cites.
T. B. Pittman, Y. H. Shih, D. V. Strekalov, and A. V. Sergienko, “Optical imaging by means of two-photon quantum entanglement,” Phys. Rev. A 52
1995
Earlier work this paper cites.
A. W. van der Vaart, Festschrift for Lucien Le Cam: Research Papers in Probability and Statistics , edited by David Pollard, Erik Torgersen, and Grace L. Yang (Springer, New York, 1997) Chap. 27. Superefficiency, pp. 397–410
1997
Earlier work this paper cites.
Max Born and Emil Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Cambridge University Press, Cambridge, 1999)
1999
Earlier work this paper cites.
E. Bettens, D. Van Dyck, A. J. den Dekker, J. Sijbers, and A. van den Bos, “Model-based two-object resolution from observations having counting statistics,” Ultramicroscopy 77
1999
Earlier work this paper cites.
Mikhail I. Kolobov, “The spatial behavior of nonclassical light,” Rev. Mod. Phys. 71
1999
Earlier work this paper cites.
Charles H. Townes, “Noise and sensitivity in interferometry,” in Principles of Long Baseline Stellar Interferometry , edited by Peter R. Lawson (2000) Chap. 4, pp. 59–70
2000
Earlier work this paper cites.
C. Fabre, J. B. Fouet, and A. Maître, “Quantum limits in the measurement of very small displacements in optical images,” Optics Letters 25
2000
Earlier work this paper cites.
Mikhail I. Kolobov and Claude Fabre, “Quantum limits on optical resolution,” Phys. Rev. Lett. 85
2000
Earlier work this paper cites.
Agedi N. Boto, Pieter Kok, Daniel S. Abrams, Samuel L. Braunstein, Colin P. Williams, and Jonathan P. Dowling, “Quantum interferometric optical lithography: Exploiting entanglement to beat the diffraction limit,” Phys. Rev. Lett. 85
2000
Earlier work this paper cites.
Harry L. Van Trees, Detection, Estimation, and Modulation Theory, Part I. (John Wiley & Sons, New York, 2001)
2001
Earlier work this paper cites.
S. Van Aert, A. J. den Dekker, D. Van Dyck, and A. van den Bos, “High-resolution electron microscopy and electron tomography: resolution versus precision,” Journal of Structural Biology 138
2002
Earlier work this paper cites.
Jonas Zmuidzinas, “Cramér–Rao sensitivity limits for astronomical instruments: implications for interferometer design,” J. Opt. Soc. Am. A 20
2003
Earlier work this paper cites.
S. M. Barnett, C. Fabre, and A. Maître, “Ultimate quantum limits for resolution of beam displacements,” The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics 22
2003
Earlier work this paper cites.
Nicolas Treps, Nicolai Grosse, Warwick P. Bowen, Claude Fabre, Hans-A. Bachor, and Ping Koy Lam, “A quantum laser pointer,” Science 301
2003
Earlier work this paper cites.
Joseph W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 2004)
2004
Cited alongside, same era.
Raimund J. Ober, Sripad Ram, and E. Sally Ward, “Localization accuracy in single-molecule microscopy,” Biophysical Journal 86
2004
Cited alongside, same era.
Larry A. Wasserman, All of Statistics (Springer, New York, 2004)
2004
Cited alongside, same era.
A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Ghost imaging with thermal light: Comparing entanglement and classical correlation,” Phys. Rev. Lett. 93
2004
Cited alongside, same era.
Masahito Hayashi, ed., Asymptotic Theory of Quantum Statistical Inference: Selected Papers (World Scientific, Singapore, 2005)
2005
Cited alongside, same era.
Ranjith Nair and Brent J. Yen, “Optimal quantum states for image sensing in loss,” Phys. Rev. Lett. 107
2011
Later among the works it cites.
Heedeuk Shin, Kam Wai Clifford Chan, Hye Jeong Chang, and Robert W. Boyd, “Quantum spatial superresolution by optical centroid measurements,” Phys. Rev. Lett. 107
2011
Later among the works it cites.
Daniel Gottesman, Thomas Jennewein, and Sarah Croke, “Longer-baseline telescopes using quantum repeaters,” Phys. Rev. Lett. 109
2012
Later among the works it cites.
Carlos A. Pérez-Delgado, Mark E. Pearce, and Pieter Kok, “Fundamental limits of classical and quantum imaging,” Phys. Rev. Lett. 109
2012
Later among the works it cites.
Kevin Piché, Jonathan Leach, Allan S. Johnson, Jeff Z. Salvail, Mikhail I. Kolobov, and Robert W. Boyd, “Experimental realization of optical eigenmode super-resolution,” Opt. Express 20
2012
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Vladislav N. Beskrovnyy and Mikhail I. Kolobov, “Quantum limits of super-resolution in reconstruction of optical objects,” Phys. Rev. A 71
2005
Cited alongside, same era.
Eric Betzig, George H. Patterson, Rachid Sougrat, O. Wolf Lindwasser, Scott Olenych, Juan S. Bonifacino, Michael W. Davidson, Jennifer Lippincott-Schwartz, and Harald F. Hess, “Imaging intracellular fluorescent proteins at nanometer resolution,” Science 313
2006
Cited alongside, same era.
Sripad Ram, E. Sally Ward, and Raimund J. Ober, “Beyond Rayleigh’s criterion: A resolution measure with application to single-molecule microscopy,” Proceedings of the National Academy of Sciences of the United States of America 103
2006
Cited alongside, same era.
James B. Pawley, ed., Handbook of Biological Confocal Microscopy (Springer, New York, 2006)
2006
Cited alongside, same era.
Antoine Labeyrie, Stephen G. Lipson, and Peter Nisenson, An Introduction to Optical Stellar Interferometry (Cambridge University Press, Cambridge, 2006)
2006
Cited alongside, same era.
Steve B. Howell, Handbook of CCD Astronomy (Cambridge University Press, Cambridge, 2006)
2006
Cited alongside, same era.
Akio Fujiwara, “Strong consistency and asymptotic efficiency for adaptive quantum estimation problems,” Journal of Physics A: Mathematical and General 39
2006
Cited alongside, same era.
Later among the works it cites.
S. Oppel, T. Büttner, P. Kok, and J. von Zanthier, “Superresolving multiphoton interferences with independent light sources,” Phys. Rev. Lett. 109
2012
Later among the works it cites.
Robert W. Boyd and Jonathan P. Dowling, “Quantum lithography: status of the field,” Quantum Information Processing 11
2012
Later among the works it cites.
Philip R. Hemmer and Todd Zapata, “The universal scaling laws that determine the achievable resolution in different schemes for super-resolution imaging,” Journal of Optics 14
2012
Later among the works it cites.
Martin C. E. Huber, Anuschka Pauluhn, J. Len Culhane, J. Gethyn Timothy, Klaus Wilhelm, and Alex Zehnder, eds., Observing Photons in Space: A Guide to Experimental Space Astronomy (Springer, New York, 2013) Chap. High-accuracy positioning: astrometry, pp. 299–311
2013
Later among the works it cites.
Michael A. Taylor, Jiri Janousek, Vincent Daria, Joachim Knittel, Boris Hage, Hans-A. Bachor, and Warwick P. Bowen, “Biological measurement beyond the quantum limit,” Nature Photonics 7
2013
Later among the works it cites.
Osip Schwartz, Jonathan M. Levitt, Ron Tenne, Stella Itzhakov, Zvicka Deutsch, and Dan Oron, “Superresolution microscopy with quantum emitters,” Nano Letters 13
2013
Later among the works it cites.
Jin-Ming Cui, Fang-Wen Sun, Xiang-Dong Chen, Zhao-Jun Gong, and Guang-Can Guo, “Quantum statistical imaging of particles without restriction of the diffraction limit,” Phys. Rev. Lett. 110
2013
Later among the works it cites.
Hendrik Deschout, Francesca Cella Zanacchi, Michael Mlodzianoski, Alberto Diaspro, Joerg Bewersdorf, Samuel T. Hess, and Kevin Braeckmans, “Precisely and accurately localizing single emitters in fluorescence microscopy,” Nature Methods 11
2014
Later among the works it cites.
Lee A. Rozema, James D. Bateman, Dylan H. Mahler, Ryo Okamoto, Amir Feizpour, Alex Hayat, and Aephraim M. Steinberg, “Scalable spatial superresolution using entangled photons,” Phys. Rev. Lett. 112
2014
Later among the works it cites.
D. Gatto Monticone, K. Katamadze, P. Traina, E. Moreva, J. Forneris, I. Ruo-Berchera, P. Olivero, I. P. Degiovanni, G. Brida, and M. Genovese, “Beating the abbe diffraction limit in confocal microscopy via nonclassical photon statistics,” Phys. Rev. Lett. 113
2014
Later among the works it cites.
Mankei Tsang, “Quantum limits to optical point-source localization,” Optica 2
2015
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Jerry Chao, E. Sally Ward, and Raimund J. Ober, “Fisher information theory for parameter estimation in single molecule microscopy: tutorial,” Journal of the Optical Society of America A 33
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Ranjith Nair and Mankei Tsang, “Interferometric superlocalization of two incoherent optical point sources,” Opt. Express 24
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