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 OSA

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  1. V. Boyer, A. M. Marino, R. C. Pooser, and P. D. Lett, “Entangled images from four-wave mixing,” Science321, 544–547 (2008).
    [CrossRef] [PubMed]
  2. Q. Glorieux, J. B. Clark, A. M. Marino, Z. Zhou, and P. D. Lett, “Temporally multiplexed storage of images in a gradient echo memory,” Opt. Express20, 12350–12358 (2012).
    [CrossRef] [PubMed]
  3. D.-S. Ding, Z.-Y. Zhou, B.-S. Shi, X.-B. Zou, and G.-C. Guo, “Image transfer through two sequential four-wave-mixing processes in hot atomic vapor,” Phys. Rev. A85, 053815 (2012).
    [CrossRef]
  4. J. B. Clark, Z. Zhou, Q. Glorieux, A. M. Marino, and P. D. Lett, “Imaging using quantum noise properties of light,” Opt. Express20, 17050–17058 (2012).
    [CrossRef]
  5. E. Brambilla, L. Caspani, O. Jedrkiewicz, L. Lugiato, and A. Gatti, “High-sensitivity imaging with multi-mode twin beams,” Phys. Rev. A77, 053807 (2008).
    [CrossRef]
  6. V. Boyer, A. M. Marino, and P. D. Lett, “Generation of spatially broadband twin beams for quantum imaging,” Phys. Rev. Lett.100, 143601 (2008).
    [CrossRef] [PubMed]
  7. N. V. Corzo, A. M. Marino, K. M. Jones, and P. D. Lett, “Noiseless optical amplifier operating on hundreds of spatial modes,” Phys. Rev. Lett.109, 043602 (2012).
    [CrossRef] [PubMed]
  8. M. I. Kolobov and C. Fabre, “Quantum limits on optical resolution,” Phys. Rev. Lett.85, 3789–3792 (2000).
    [CrossRef] [PubMed]
  9. M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H.-A. Bachor, P. K. Lam, N. Treps, P. Buchhave, C. Fabre, and C. C. Harb, “Tools for multimode quantum information: Modulation, detection, and spatial quantum correlations,” Phys. Rev. Lett.98, 083602 (2007).
    [CrossRef] [PubMed]
  10. G. Brida, M. Genovese, and I. Berchera, “Experimental realization of sub-shot-noise quantum imaging,” Nature Photon.4, 227–230 (2010).
    [CrossRef]
  11. O. Aytür and P. Kumar, “Squeezed-light generation with a mode-locked q-switched laser and detection by using a matched local oscillator,” Opt. Lett.17, 529–531 (1992).
    [CrossRef] [PubMed]
  12. D. Smithey, M. Beck, M. Belsley, and M. Raymer, “Sub-shot-noise correlation of total photon number using macroscopic twin pulses of light,” Phys. Rev. Lett.69, 2650–2653 (1992).
    [CrossRef] [PubMed]
  13. L. Jiying, Z. Jubo, L. Chuan, and H. Shisheng, “High-quality quantum-imaging algorithm and experiment based on compressive sensing,” Opt. Lett.35, 1206–1208 (2010).
    [CrossRef] [PubMed]
  14. O. Katz, Y. Bromberg, and Y. Silberberg, “Compressive ghost imaging,” App. Phys. Lett.95, 131110 (2009).
    [CrossRef]
  15. P. Zerom, K. W. C. Chan, J. C. Howell, and R. W. Boyd, “Entangled-photon compressive ghost imaging,” Phys. Rev. A84, 061804 (2011).
    [CrossRef]
  16. T. Do, L. Gan, N. Nguyen, and T. Tran, “Fast and efficient compressive sensing using structurally random matrices,” IEEE Trans. Signal Process.60, 139–154 (2012).
    [CrossRef]
  17. D. Smith, J. Gore, T. Yankeelov, and E. Welch, “Real-time compressive sensing MRI reconstruction using GPU computing and split bregman methods,” Int. J. of Biomed. Imag.2012, 864827 (2012).
  18. R. Pooser, B. Lawrie, and W. Grice, “Compressive sampling low light beam profiler using structural random matrices with a semilocal randomizer,” In Preparation.
  19. E. Candès, J. Romberg, and T. Tao, “Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information,” IEEE Trans. Inf. Theory52, 489–509 (2006).
    [CrossRef]
  20. M. Figueiredo, R. Nowak, and S. Wright, “Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems,” IEEE J. Sel. Top. Sig. Process1, 586 –597 (2007).
    [CrossRef]
  21. C. Li, W. Yin, H. Jiang, and Y. Zhang, “An efficient augmented lagrangian method with applications to total variation minimization,” Tech. Rep. TR12-13, Computational and Applied Mathematics, Rice University, Houston, TX, (2012).

2012 (6)

D.-S. Ding, Z.-Y. Zhou, B.-S. Shi, X.-B. Zou, and G.-C. Guo, “Image transfer through two sequential four-wave-mixing processes in hot atomic vapor,” Phys. Rev. A85, 053815 (2012).
[CrossRef]

N. V. Corzo, A. M. Marino, K. M. Jones, and P. D. Lett, “Noiseless optical amplifier operating on hundreds of spatial modes,” Phys. Rev. Lett.109, 043602 (2012).
[CrossRef] [PubMed]

T. Do, L. Gan, N. Nguyen, and T. Tran, “Fast and efficient compressive sensing using structurally random matrices,” IEEE Trans. Signal Process.60, 139–154 (2012).
[CrossRef]

D. Smith, J. Gore, T. Yankeelov, and E. Welch, “Real-time compressive sensing MRI reconstruction using GPU computing and split bregman methods,” Int. J. of Biomed. Imag.2012, 864827 (2012).

Q. Glorieux, J. B. Clark, A. M. Marino, Z. Zhou, and P. D. Lett, “Temporally multiplexed storage of images in a gradient echo memory,” Opt. Express20, 12350–12358 (2012).
[CrossRef] [PubMed]

J. B. Clark, Z. Zhou, Q. Glorieux, A. M. Marino, and P. D. Lett, “Imaging using quantum noise properties of light,” Opt. Express20, 17050–17058 (2012).
[CrossRef]

2011 (1)

P. Zerom, K. W. C. Chan, J. C. Howell, and R. W. Boyd, “Entangled-photon compressive ghost imaging,” Phys. Rev. A84, 061804 (2011).
[CrossRef]

2010 (2)

L. Jiying, Z. Jubo, L. Chuan, and H. Shisheng, “High-quality quantum-imaging algorithm and experiment based on compressive sensing,” Opt. Lett.35, 1206–1208 (2010).
[CrossRef] [PubMed]

G. Brida, M. Genovese, and I. Berchera, “Experimental realization of sub-shot-noise quantum imaging,” Nature Photon.4, 227–230 (2010).
[CrossRef]

2009 (1)

O. Katz, Y. Bromberg, and Y. Silberberg, “Compressive ghost imaging,” App. Phys. Lett.95, 131110 (2009).
[CrossRef]

2008 (3)

V. Boyer, A. M. Marino, R. C. Pooser, and P. D. Lett, “Entangled images from four-wave mixing,” Science321, 544–547 (2008).
[CrossRef] [PubMed]

E. Brambilla, L. Caspani, O. Jedrkiewicz, L. Lugiato, and A. Gatti, “High-sensitivity imaging with multi-mode twin beams,” Phys. Rev. A77, 053807 (2008).
[CrossRef]

V. Boyer, A. M. Marino, and P. D. Lett, “Generation of spatially broadband twin beams for quantum imaging,” Phys. Rev. Lett.100, 143601 (2008).
[CrossRef] [PubMed]

2007 (2)

M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H.-A. Bachor, P. K. Lam, N. Treps, P. Buchhave, C. Fabre, and C. C. Harb, “Tools for multimode quantum information: Modulation, detection, and spatial quantum correlations,” Phys. Rev. Lett.98, 083602 (2007).
[CrossRef] [PubMed]

M. Figueiredo, R. Nowak, and S. Wright, “Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems,” IEEE J. Sel. Top. Sig. Process1, 586 –597 (2007).
[CrossRef]

2006 (1)

E. Candès, J. Romberg, and T. Tao, “Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information,” IEEE Trans. Inf. Theory52, 489–509 (2006).
[CrossRef]

2000 (1)

M. I. Kolobov and C. Fabre, “Quantum limits on optical resolution,” Phys. Rev. Lett.85, 3789–3792 (2000).
[CrossRef] [PubMed]

1992 (2)

D. Smithey, M. Beck, M. Belsley, and M. Raymer, “Sub-shot-noise correlation of total photon number using macroscopic twin pulses of light,” Phys. Rev. Lett.69, 2650–2653 (1992).
[CrossRef] [PubMed]

O. Aytür and P. Kumar, “Squeezed-light generation with a mode-locked q-switched laser and detection by using a matched local oscillator,” Opt. Lett.17, 529–531 (1992).
[CrossRef] [PubMed]

Aytür, O.

Bachor, H.-A.

M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H.-A. Bachor, P. K. Lam, N. Treps, P. Buchhave, C. Fabre, and C. C. Harb, “Tools for multimode quantum information: Modulation, detection, and spatial quantum correlations,” Phys. Rev. Lett.98, 083602 (2007).
[CrossRef] [PubMed]

Beck, M.

D. Smithey, M. Beck, M. Belsley, and M. Raymer, “Sub-shot-noise correlation of total photon number using macroscopic twin pulses of light,” Phys. Rev. Lett.69, 2650–2653 (1992).
[CrossRef] [PubMed]

Belsley, M.

D. Smithey, M. Beck, M. Belsley, and M. Raymer, “Sub-shot-noise correlation of total photon number using macroscopic twin pulses of light,” Phys. Rev. Lett.69, 2650–2653 (1992).
[CrossRef] [PubMed]

Berchera, I.

G. Brida, M. Genovese, and I. Berchera, “Experimental realization of sub-shot-noise quantum imaging,” Nature Photon.4, 227–230 (2010).
[CrossRef]

Boyd, R. W.

P. Zerom, K. W. C. Chan, J. C. Howell, and R. W. Boyd, “Entangled-photon compressive ghost imaging,” Phys. Rev. A84, 061804 (2011).
[CrossRef]

Boyer, V.

V. Boyer, A. M. Marino, R. C. Pooser, and P. D. Lett, “Entangled images from four-wave mixing,” Science321, 544–547 (2008).
[CrossRef] [PubMed]

V. Boyer, A. M. Marino, and P. D. Lett, “Generation of spatially broadband twin beams for quantum imaging,” Phys. Rev. Lett.100, 143601 (2008).
[CrossRef] [PubMed]

Brambilla, E.

E. Brambilla, L. Caspani, O. Jedrkiewicz, L. Lugiato, and A. Gatti, “High-sensitivity imaging with multi-mode twin beams,” Phys. Rev. A77, 053807 (2008).
[CrossRef]

Brida, G.

G. Brida, M. Genovese, and I. Berchera, “Experimental realization of sub-shot-noise quantum imaging,” Nature Photon.4, 227–230 (2010).
[CrossRef]

Bromberg, Y.

O. Katz, Y. Bromberg, and Y. Silberberg, “Compressive ghost imaging,” App. Phys. Lett.95, 131110 (2009).
[CrossRef]

Buchhave, P.

M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H.-A. Bachor, P. K. Lam, N. Treps, P. Buchhave, C. Fabre, and C. C. Harb, “Tools for multimode quantum information: Modulation, detection, and spatial quantum correlations,” Phys. Rev. Lett.98, 083602 (2007).
[CrossRef] [PubMed]

Candès, E.

E. Candès, J. Romberg, and T. Tao, “Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information,” IEEE Trans. Inf. Theory52, 489–509 (2006).
[CrossRef]

Caspani, L.

E. Brambilla, L. Caspani, O. Jedrkiewicz, L. Lugiato, and A. Gatti, “High-sensitivity imaging with multi-mode twin beams,” Phys. Rev. A77, 053807 (2008).
[CrossRef]

Chan, K. W. C.

P. Zerom, K. W. C. Chan, J. C. Howell, and R. W. Boyd, “Entangled-photon compressive ghost imaging,” Phys. Rev. A84, 061804 (2011).
[CrossRef]

Chuan, L.

Clark, J. B.

Corzo, N. V.

N. V. Corzo, A. M. Marino, K. M. Jones, and P. D. Lett, “Noiseless optical amplifier operating on hundreds of spatial modes,” Phys. Rev. Lett.109, 043602 (2012).
[CrossRef] [PubMed]

Delaubert, V.

M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H.-A. Bachor, P. K. Lam, N. Treps, P. Buchhave, C. Fabre, and C. C. Harb, “Tools for multimode quantum information: Modulation, detection, and spatial quantum correlations,” Phys. Rev. Lett.98, 083602 (2007).
[CrossRef] [PubMed]

Ding, D.-S.

D.-S. Ding, Z.-Y. Zhou, B.-S. Shi, X.-B. Zou, and G.-C. Guo, “Image transfer through two sequential four-wave-mixing processes in hot atomic vapor,” Phys. Rev. A85, 053815 (2012).
[CrossRef]

Do, T.

T. Do, L. Gan, N. Nguyen, and T. Tran, “Fast and efficient compressive sensing using structurally random matrices,” IEEE Trans. Signal Process.60, 139–154 (2012).
[CrossRef]

Fabre, C.

M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H.-A. Bachor, P. K. Lam, N. Treps, P. Buchhave, C. Fabre, and C. C. Harb, “Tools for multimode quantum information: Modulation, detection, and spatial quantum correlations,” Phys. Rev. Lett.98, 083602 (2007).
[CrossRef] [PubMed]

M. I. Kolobov and C. Fabre, “Quantum limits on optical resolution,” Phys. Rev. Lett.85, 3789–3792 (2000).
[CrossRef] [PubMed]

Figueiredo, M.

M. Figueiredo, R. Nowak, and S. Wright, “Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems,” IEEE J. Sel. Top. Sig. Process1, 586 –597 (2007).
[CrossRef]

Gan, L.

T. Do, L. Gan, N. Nguyen, and T. Tran, “Fast and efficient compressive sensing using structurally random matrices,” IEEE Trans. Signal Process.60, 139–154 (2012).
[CrossRef]

Gatti, A.

E. Brambilla, L. Caspani, O. Jedrkiewicz, L. Lugiato, and A. Gatti, “High-sensitivity imaging with multi-mode twin beams,” Phys. Rev. A77, 053807 (2008).
[CrossRef]

Genovese, M.

G. Brida, M. Genovese, and I. Berchera, “Experimental realization of sub-shot-noise quantum imaging,” Nature Photon.4, 227–230 (2010).
[CrossRef]

Glorieux, Q.

Gore, J.

D. Smith, J. Gore, T. Yankeelov, and E. Welch, “Real-time compressive sensing MRI reconstruction using GPU computing and split bregman methods,” Int. J. of Biomed. Imag.2012, 864827 (2012).

Grice, W.

R. Pooser, B. Lawrie, and W. Grice, “Compressive sampling low light beam profiler using structural random matrices with a semilocal randomizer,” In Preparation.

Guo, G.-C.

D.-S. Ding, Z.-Y. Zhou, B.-S. Shi, X.-B. Zou, and G.-C. Guo, “Image transfer through two sequential four-wave-mixing processes in hot atomic vapor,” Phys. Rev. A85, 053815 (2012).
[CrossRef]

Harb, C. C.

M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H.-A. Bachor, P. K. Lam, N. Treps, P. Buchhave, C. Fabre, and C. C. Harb, “Tools for multimode quantum information: Modulation, detection, and spatial quantum correlations,” Phys. Rev. Lett.98, 083602 (2007).
[CrossRef] [PubMed]

Howell, J. C.

P. Zerom, K. W. C. Chan, J. C. Howell, and R. W. Boyd, “Entangled-photon compressive ghost imaging,” Phys. Rev. A84, 061804 (2011).
[CrossRef]

Janousek, J.

M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H.-A. Bachor, P. K. Lam, N. Treps, P. Buchhave, C. Fabre, and C. C. Harb, “Tools for multimode quantum information: Modulation, detection, and spatial quantum correlations,” Phys. Rev. Lett.98, 083602 (2007).
[CrossRef] [PubMed]

Jedrkiewicz, O.

E. Brambilla, L. Caspani, O. Jedrkiewicz, L. Lugiato, and A. Gatti, “High-sensitivity imaging with multi-mode twin beams,” Phys. Rev. A77, 053807 (2008).
[CrossRef]

Jiang, H.

C. Li, W. Yin, H. Jiang, and Y. Zhang, “An efficient augmented lagrangian method with applications to total variation minimization,” Tech. Rep. TR12-13, Computational and Applied Mathematics, Rice University, Houston, TX, (2012).

Jiying, L.

Jones, K. M.

N. V. Corzo, A. M. Marino, K. M. Jones, and P. D. Lett, “Noiseless optical amplifier operating on hundreds of spatial modes,” Phys. Rev. Lett.109, 043602 (2012).
[CrossRef] [PubMed]

Jubo, Z.

Katz, O.

O. Katz, Y. Bromberg, and Y. Silberberg, “Compressive ghost imaging,” App. Phys. Lett.95, 131110 (2009).
[CrossRef]

Kolobov, M. I.

M. I. Kolobov and C. Fabre, “Quantum limits on optical resolution,” Phys. Rev. Lett.85, 3789–3792 (2000).
[CrossRef] [PubMed]

Kumar, P.

Lam, P. K.

M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H.-A. Bachor, P. K. Lam, N. Treps, P. Buchhave, C. Fabre, and C. C. Harb, “Tools for multimode quantum information: Modulation, detection, and spatial quantum correlations,” Phys. Rev. Lett.98, 083602 (2007).
[CrossRef] [PubMed]

Lassen, M.

M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H.-A. Bachor, P. K. Lam, N. Treps, P. Buchhave, C. Fabre, and C. C. Harb, “Tools for multimode quantum information: Modulation, detection, and spatial quantum correlations,” Phys. Rev. Lett.98, 083602 (2007).
[CrossRef] [PubMed]

Lawrie, B.

R. Pooser, B. Lawrie, and W. Grice, “Compressive sampling low light beam profiler using structural random matrices with a semilocal randomizer,” In Preparation.

Lett, P. D.

N. V. Corzo, A. M. Marino, K. M. Jones, and P. D. Lett, “Noiseless optical amplifier operating on hundreds of spatial modes,” Phys. Rev. Lett.109, 043602 (2012).
[CrossRef] [PubMed]

Q. Glorieux, J. B. Clark, A. M. Marino, Z. Zhou, and P. D. Lett, “Temporally multiplexed storage of images in a gradient echo memory,” Opt. Express20, 12350–12358 (2012).
[CrossRef] [PubMed]

J. B. Clark, Z. Zhou, Q. Glorieux, A. M. Marino, and P. D. Lett, “Imaging using quantum noise properties of light,” Opt. Express20, 17050–17058 (2012).
[CrossRef]

V. Boyer, A. M. Marino, and P. D. Lett, “Generation of spatially broadband twin beams for quantum imaging,” Phys. Rev. Lett.100, 143601 (2008).
[CrossRef] [PubMed]

V. Boyer, A. M. Marino, R. C. Pooser, and P. D. Lett, “Entangled images from four-wave mixing,” Science321, 544–547 (2008).
[CrossRef] [PubMed]

Li, C.

C. Li, W. Yin, H. Jiang, and Y. Zhang, “An efficient augmented lagrangian method with applications to total variation minimization,” Tech. Rep. TR12-13, Computational and Applied Mathematics, Rice University, Houston, TX, (2012).

Lugiato, L.

E. Brambilla, L. Caspani, O. Jedrkiewicz, L. Lugiato, and A. Gatti, “High-sensitivity imaging with multi-mode twin beams,” Phys. Rev. A77, 053807 (2008).
[CrossRef]

Marino, A. M.

Q. Glorieux, J. B. Clark, A. M. Marino, Z. Zhou, and P. D. Lett, “Temporally multiplexed storage of images in a gradient echo memory,” Opt. Express20, 12350–12358 (2012).
[CrossRef] [PubMed]

J. B. Clark, Z. Zhou, Q. Glorieux, A. M. Marino, and P. D. Lett, “Imaging using quantum noise properties of light,” Opt. Express20, 17050–17058 (2012).
[CrossRef]

N. V. Corzo, A. M. Marino, K. M. Jones, and P. D. Lett, “Noiseless optical amplifier operating on hundreds of spatial modes,” Phys. Rev. Lett.109, 043602 (2012).
[CrossRef] [PubMed]

V. Boyer, A. M. Marino, and P. D. Lett, “Generation of spatially broadband twin beams for quantum imaging,” Phys. Rev. Lett.100, 143601 (2008).
[CrossRef] [PubMed]

V. Boyer, A. M. Marino, R. C. Pooser, and P. D. Lett, “Entangled images from four-wave mixing,” Science321, 544–547 (2008).
[CrossRef] [PubMed]

Nguyen, N.

T. Do, L. Gan, N. Nguyen, and T. Tran, “Fast and efficient compressive sensing using structurally random matrices,” IEEE Trans. Signal Process.60, 139–154 (2012).
[CrossRef]

Nowak, R.

M. Figueiredo, R. Nowak, and S. Wright, “Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems,” IEEE J. Sel. Top. Sig. Process1, 586 –597 (2007).
[CrossRef]

Pooser, R.

R. Pooser, B. Lawrie, and W. Grice, “Compressive sampling low light beam profiler using structural random matrices with a semilocal randomizer,” In Preparation.

Pooser, R. C.

V. Boyer, A. M. Marino, R. C. Pooser, and P. D. Lett, “Entangled images from four-wave mixing,” Science321, 544–547 (2008).
[CrossRef] [PubMed]

Raymer, M.

D. Smithey, M. Beck, M. Belsley, and M. Raymer, “Sub-shot-noise correlation of total photon number using macroscopic twin pulses of light,” Phys. Rev. Lett.69, 2650–2653 (1992).
[CrossRef] [PubMed]

Romberg, J.

E. Candès, J. Romberg, and T. Tao, “Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information,” IEEE Trans. Inf. Theory52, 489–509 (2006).
[CrossRef]

Shi, B.-S.

D.-S. Ding, Z.-Y. Zhou, B.-S. Shi, X.-B. Zou, and G.-C. Guo, “Image transfer through two sequential four-wave-mixing processes in hot atomic vapor,” Phys. Rev. A85, 053815 (2012).
[CrossRef]

Shisheng, H.

Silberberg, Y.

O. Katz, Y. Bromberg, and Y. Silberberg, “Compressive ghost imaging,” App. Phys. Lett.95, 131110 (2009).
[CrossRef]

Smith, D.

D. Smith, J. Gore, T. Yankeelov, and E. Welch, “Real-time compressive sensing MRI reconstruction using GPU computing and split bregman methods,” Int. J. of Biomed. Imag.2012, 864827 (2012).

Smithey, D.

D. Smithey, M. Beck, M. Belsley, and M. Raymer, “Sub-shot-noise correlation of total photon number using macroscopic twin pulses of light,” Phys. Rev. Lett.69, 2650–2653 (1992).
[CrossRef] [PubMed]

Tao, T.

E. Candès, J. Romberg, and T. Tao, “Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information,” IEEE Trans. Inf. Theory52, 489–509 (2006).
[CrossRef]

Tran, T.

T. Do, L. Gan, N. Nguyen, and T. Tran, “Fast and efficient compressive sensing using structurally random matrices,” IEEE Trans. Signal Process.60, 139–154 (2012).
[CrossRef]

Treps, N.

M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H.-A. Bachor, P. K. Lam, N. Treps, P. Buchhave, C. Fabre, and C. C. Harb, “Tools for multimode quantum information: Modulation, detection, and spatial quantum correlations,” Phys. Rev. Lett.98, 083602 (2007).
[CrossRef] [PubMed]

Wagner, K.

M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H.-A. Bachor, P. K. Lam, N. Treps, P. Buchhave, C. Fabre, and C. C. Harb, “Tools for multimode quantum information: Modulation, detection, and spatial quantum correlations,” Phys. Rev. Lett.98, 083602 (2007).
[CrossRef] [PubMed]

Welch, E.

D. Smith, J. Gore, T. Yankeelov, and E. Welch, “Real-time compressive sensing MRI reconstruction using GPU computing and split bregman methods,” Int. J. of Biomed. Imag.2012, 864827 (2012).

Wright, S.

M. Figueiredo, R. Nowak, and S. Wright, “Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems,” IEEE J. Sel. Top. Sig. Process1, 586 –597 (2007).
[CrossRef]

Yankeelov, T.

D. Smith, J. Gore, T. Yankeelov, and E. Welch, “Real-time compressive sensing MRI reconstruction using GPU computing and split bregman methods,” Int. J. of Biomed. Imag.2012, 864827 (2012).

Yin, W.

C. Li, W. Yin, H. Jiang, and Y. Zhang, “An efficient augmented lagrangian method with applications to total variation minimization,” Tech. Rep. TR12-13, Computational and Applied Mathematics, Rice University, Houston, TX, (2012).

Zerom, P.

P. Zerom, K. W. C. Chan, J. C. Howell, and R. W. Boyd, “Entangled-photon compressive ghost imaging,” Phys. Rev. A84, 061804 (2011).
[CrossRef]

Zhang, Y.

C. Li, W. Yin, H. Jiang, and Y. Zhang, “An efficient augmented lagrangian method with applications to total variation minimization,” Tech. Rep. TR12-13, Computational and Applied Mathematics, Rice University, Houston, TX, (2012).

Zhou, Z.

Zhou, Z.-Y.

D.-S. Ding, Z.-Y. Zhou, B.-S. Shi, X.-B. Zou, and G.-C. Guo, “Image transfer through two sequential four-wave-mixing processes in hot atomic vapor,” Phys. Rev. A85, 053815 (2012).
[CrossRef]

Zou, X.-B.

D.-S. Ding, Z.-Y. Zhou, B.-S. Shi, X.-B. Zou, and G.-C. Guo, “Image transfer through two sequential four-wave-mixing processes in hot atomic vapor,” Phys. Rev. A85, 053815 (2012).
[CrossRef]

App. Phys. Lett. (1)

O. Katz, Y. Bromberg, and Y. Silberberg, “Compressive ghost imaging,” App. Phys. Lett.95, 131110 (2009).
[CrossRef]

IEEE J. Sel. Top. Sig. Process (1)

M. Figueiredo, R. Nowak, and S. Wright, “Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems,” IEEE J. Sel. Top. Sig. Process1, 586 –597 (2007).
[CrossRef]

IEEE Trans. Inf. Theory (1)

E. Candès, J. Romberg, and T. Tao, “Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information,” IEEE Trans. Inf. Theory52, 489–509 (2006).
[CrossRef]

IEEE Trans. Signal Process. (1)

T. Do, L. Gan, N. Nguyen, and T. Tran, “Fast and efficient compressive sensing using structurally random matrices,” IEEE Trans. Signal Process.60, 139–154 (2012).
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Supplementary Material (3)

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