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Toward real-time quantum imaging with a single pixel camera

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Abstract

We present a workbench for the study of real-time quantum imaging by measuring the frame-by-frame quantum noise reduction of multi-spatial-mode twin beams generated by four wave mixing in Rb vapor. Exploiting the multiple spatial modes of this squeezed light source, we utilize spatial light modulators to selectively pass macropixels of quantum correlated modes from each of the twin beams to a high quantum efficiency balanced detector. In low-light-level imaging applications, the ability to measure the quantum correlations between individual spatial modes and macropixels of spatial modes with a single pixel camera will facilitate compressive quantum imaging with sensitivity below the photon shot noise limit.

© 2013 Optical Society of America

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Supplementary Material (3)

Media 1: AVI (3232 KB)     
Media 2: AVI (242 KB)     
Media 3: AVI (2255 KB)     

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Figures (7)

Fig. 1
Fig. 1 (a) Schematic of the quantum imaging experiment that utilized a DMD as an SLM to control the spatial modes present in the twin beams and either two CCD cameras or two DMDs and a balanced photodiode to analyze the image quality and quantum noise reduction after 4WM. (b) an energy diagram of the 4WM process at the D1 transition in 85Rb, and (c) a typical squeezing spectrum demonstrating quantum noise reduction 4.5 dB below the SQL.
Fig. 2
Fig. 2 (left) A bitmap image of a happy face 2 mm in diameter that was programmed onto the DMD spatially coincident with the incident probe beam, with the probe (middle) and conjugate (right) images acquired in the respective image planes after four-wave mixing.
Fig. 3
Fig. 3 The quantum noise reduction associated with various probe seed beam profiles. The images in the top row were imprinted on the probe beam prior to 4WM.
Fig. 4
Fig. 4 (a) Video of conjugate, pump and probe beam profiles from left to right at the probe image plane ( Media 1), (b) quantum noise reduction as a function of cross rotation angle ( Media 2), and (c) a corresponding video of the conjugate in the conjugate image plane ( Media 3).
Fig. 5
Fig. 5 (bottom) The quantum noise reduction associated with various masks introduced to the DMD, and (top) the quantum noise reduction spectrum associated with the leftmost bottom image. The total transmission (η) and predicted squeezing for a single spatial mode are shown for each image. The uncertainty associated with each squeezing value is 0.1 dB, while the uncertainty on each transmission measurement is 1%.
Fig. 6
Fig. 6 Thresholded images of the conjugate (a) and probe (b) gaussian beam profiles in white. The line on the conjugate beam profile was placed on the conjugate DMD in the center of the conjugate beam profile. The line on the probe beam profile was rastered across the probe on the probe DMD. The QNR spectrum (c) shows the quantum noise reduction of approximately 1 dB at 500 kHz that emerged when the mask was centered on the probe beam profile. The reduction of the width of the line by a factor of 2 yielded a dramatic reduction of squeezing even in the case where corresponding areas of the probe and conjugate were passed by the respective DMDs (d).
Fig. 7
Fig. 7 An example sampling matrix used in the compressive imaging algorithm (left); beam profiles of probe and conjugate ’E’ in probe image plane acquired with a CCD camera (middle left), beam profile of probe acquired with total variation minimization with equality constraints utilizing the probe DMD at the probe image plane (middle right), and the beam profile of the conjugate (right) acquired with compressive imaging techniques with the conjugate DMD placed at the conjugate image plane.

Equations (2)

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x = Ψ α
y = A x + Γ
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