11 July 2022
Dr Hannah Stern, University Of Cambridge
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24 August 2022
Dr Zixin Huang, Macquarie University, Sydney, Australia
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The resolution limit of standard imaging techniques is expressed by the Rayleigh criterion, which states that two point-like sources are difficult to resolve if their transverse separation is smaller than the Rayleigh length. While the criterion is useful in the case of direct detection imaging, other measurement techniques may not be subject to this limitation. Estimating the angular separation between two sources is a challenging task for direct imaging, especially when their angular separation is smaller than or comparable to the Rayleigh limit. In addition, if one is tasked with first discriminating whether there are one or two sources, then detecting the faint emission of a secondary source in the proximity of a much brighter one is in itself a severe challenge for direct imaging.
Using quantum state discrimination and quantum imaging techniques, we show that one can significantly reduce the probability of error for detecting the presence of a weak secondary source, especially when the two sources have small angular separations. If the weak source has intensity ε≪1 relative to the bright source, we find that the error exponent can be improved by a factor of 1/ε. We also find linear-optical measurements that are optimal in this regime [1]. We apply these techniques to LIDAR [2] as well as exoplanet detection.
We then experimentally demonstrate clear sub-Rayleigh scaling for quantum state discrimination of singular versus binary sources, and we approach the quantum Cramer-Rao bound for estimating the angular separation of two sources with equal brightness. Most importantly, the two tasks can be achieved with a single measurement setup: all the above tasks can be performed with a simple interferometer [3].
[1] Z Huang, C Lupo, Phys. Rev. Lett. 127, 130502 (2021); Editor's Selection and Featured in Physics.
[2] Z Huang, C Lupo, P Kok, PRX Quantum 2 (3), 030303 (2021)
[3] U Zanforlin, C Lupo, P Connolly, P Kok, G Buller, and Z Huang, accepted in Nat. Comm. (2022); arXiv:2202.09406
30 November 2020
Dr Hannah Price, University Of Birmingham
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Dr Edward Laird, Lancaster University
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Dr Hamidreza Siampour, the University Of Sheffield
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Dr Claire Le Gall, University Of Cambridge
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Dr Edmund Harbord, University Of Bristol
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Dr Riccardo Sapienza, Imperial College of Science and Technology
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Dr Benjamin Walker, Imperial College London
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Professor Jonathan Knight, University Of Bath
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Professor Rachel Oliver, University Of Cambridge
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Professor David Whittaker, the University Of Sheffield
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Dr Dmitry Solnyshkov, Institut Pascal, University Clermont Auvergne/CNRS, Clermont-Ferrand, France
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Professor Y Otani, The University Of Tokyo
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11 January 2019
Emil Denning, Technical University Of Denmark
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21 November 2018
Dr Krishna Balram, University Of Bristol
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1 November 2018
Dr Anthony Laing, University Of Bristol
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Dr Jonathan Fletcher, Quantum Detection Group, National Physical Laboratory
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11 October 2018
Dr Konstantinos Lagoudakis, University Of Strathclyde
3 July 2018
Professor Goki Eda, National University Of Singapore
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6 June 2018
Dr Albert Politi, University Of Southampton
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Professor Shuang Zhang, University Of Birmingham
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Dr Philip King, University Of St Andrews
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Professor Dr Jonathan Finley, TU Munich
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Professor Natalia Berloff, University Of Cambridge
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Professor Edmund Linfield, University Of Leeds
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Dr Marzena Szymanska, University College London
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Professor Ian R Sellers, University Of Oklahoma
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11 October 2017
Dr Jan Huwer, Cambridge Research Laboratory, Toshiba Research Europe Ltd.
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Dr Alex Clark, Imperial College, London
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30 May 2017
Dr Jorge Barreto, University Of Bristol
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Professor Peter Beton, University Of Nottingham
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4 May 2017
Professor Manfred Bayer, TU Dortmund
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Dr Michael Vanner, University Of Oxford
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23 February 2017
Dr Riccardo Degl'Innocenti, University Of Cambridge
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