We present a compressive sensing protocol that tracks a moving object by removing static components from a scene. The implementation is carried out on a ghost imaging scheme to minimize both the number of photons and the number of measurements required to form a quantum image of the tracked object. This procedure tracks an object at low light levels with fewer than 3% of the measurements required for a raster scan, permitting us to more effectively use the information content in each photon.
REFERENCES
1.
H.
Wang
, S.
Han
, and M. I.
Kolobov
, Opt. Express
20
, 23235
(2012
).2.
W.-K.
Yu
, X.-F.
Liu
, X.-R.
Yao
, C.
Wang
, S.-Q.
Gao
, G.-J.
Zhai
, Q.
Zhao
, and M.-L.
Ge
, e-print arXiv:1202.5866v1.3.
G. A.
Howland
, P. B.
Dixon
, and J. C.
Howell
, Appl. Opt.
50
, 5917
(2011
).4.
G. A.
Howland
and J. C.
Howell
, Phys. Rev. X
3
, 011013
(2013
).5.
O.
Katz
, Y.
Bromberg
, and Y.
Silberberg
, Appl. Phys. Lett.
95
, 131110
(2009
).6.
P.
Zerom
, K. W. C.
Chan
, J.
Howell
, and R.
Boyd
, Phys. Rev. A
84
, 061804
(2011
).7.
E. J.
Candès
and T.
Tao
, IEEE Trans. Inf. Theory
52
, 5406
(2006
).8.
E. J.
Candès
and M. B.
Wakin
, IEEE Signal Process. Mag.
25
, 21
(2008
).9.
D.
Gross
, Y.-K.
Liu
, S. T.
Flammia
, S.
Becker
, and J.
Eisert
, Phys. Rev. Lett.
105
, 150401
(2010
).10.
W. T.
Liu
, T.
Zhang
, J. Y.
Liu
, P. X.
Chen
, and J. M.
Yuan
, Phys. Rev. Lett.
108
, 170403
(2012
).11.
A. K.
Jha
, M.
Malik
, and R. W.
Boyd
, Phys. Rev. Lett.
101
, 180405
(2008
).12.
T.
Pittman
, Y.
Shih
, D.
Strekalov
, and A.
Sergienko
, Phys. Rev. A
52
, R3429
(1995
).13.
P.
Clemente
, V.
Durán
, V.
Torres-Company
, E.
Tajahuerce
, and J.
Lancis
, Opt. Lett.
35
, 2391
(2010
).14.
S.
Karmakar
and Y.
Shih
, Phys. Rev. A
81
, 033845
(2010
).15.
M.
Malik
, H.
Shin
, M.
O’Sullivan
, P.
Zerom
, and R. W.
Boyd
, Phys. Rev. Lett.
104
, 163602
(2010
).16.
17.
J. L.
O’Brien
, A.
Furusawa
, and J.
Vučković
, Nat. Photonics
3
, 687
(2009
).18.
C. E.
Shannon
, Proc. IRE
37
, 10
(1949
).19.
M.
Malik
, H.
Shin
, and R. W.
Boyd
, in Laser Science, OSA Technical Digest (CD), paper LTuC2 (2011).20.
R.
Bennink
, S.
Bentley
, and R.
Boyd
, Phys. Rev. Lett.
89
, 113601
(2002
).21.
A.
Gatti
, E.
Brambilla
, M.
Bache
, and L.
Lugiato
, Phys. Rev. Lett.
93
, 093602
(2004
).22.
C.
Monken
, P.
Ribeiro
, and S.
Pádua
, Phys. Rev. A
57
, 3123
(1998
).23.
R. M.
Willett
, R. F.
Marcia
, and J. M.
Nichols
, Opt. Eng.
50
, 072601
(2011
).24.
C.
Li
, M.S. thesis, Rice University
, 2009
.25.
S.
Nakadate
, T.
Yatagai
, and H.
Saito
, Appl. Opt.
19
, 1879
(1980
).© 2013 AIP Publishing LLC.
2013
AIP Publishing LLC
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