Signal-to-noise ratio of Gaussian-state ghost imaging
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Erkmen-2009-Signal-to-noise rati.pdf
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Author(s)
Erkmen, Baris I.
Shapiro, Jeffrey H.
Date Issued
February 2009
Journal
Physical Review A
Publisher
American Physical Society
Citation
Erkmen, Baris I., and Jeffrey H. Shapiro. “Signal-to-noise ratio of Gaussian-state ghost imaging.” Physical Review A 79.2 (2009): 023833. © 2009 The American Physical Society.
Version
Final published version
Abstract
The signal-to-noise ratios (SNRs) of three Gaussian-state ghost-imaging configurations—distinguished by the nature of their light sources—are derived. Two use classical-state light, specifically a joint signal-reference field state that has either the maximum phase-insensitive or the maximum phase-sensitive cross correlation consistent with having a proper P representation. The third uses nonclassical light, in particular an entangled signal-reference field state with the maximum phase-sensitive cross correlation permitted by quantum mechanics. Analytic SNR expressions are developed for the near-field and far-field regimes, within which simple asymptotic approximations are presented for low-brightness and high-brightness sources. A high-brightness thermal-state (classical phase-insensitive state) source will typically achieve a higher SNR than a biphoton-state (low-brightness, low-flux limit of the entangled-state) source, when all other system parameters are equal for the two systems. With high efficiency photon-number-resolving detectors, a low-brightness, high-flux entangled-state source may achieve a higher SNR than that obtained with a high-brightness thermal-state source.
MIT Department
Massachusetts Institute of Technology. Research Laboratory of Electronics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
http://dx.doi.org/10.1103/PhysRevA.79.023833
