Abstract
The measurement of high-dimensional entangled states of orbital angular momentum prepared by spontaneous parametric down-conversion can be considered in two separate stages: a generation stage and a detection stage. Given a certain number of generated modes, the number of measured modes is determined by the measurement apparatus. We derive a simple relationship between the generation and detection parameters and the number of measured entangled modes.
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References
M.A. Neilsen, I.L. Chuang, Quantum computation and quantum information (Cambridge University Press, Cambridge, 2000)
G. Molina-Terriza, J.P. Torres, L. Torner, Nat. Phys. 3, 305 (2008)
S.M. Barnett, Quantum information (Oxford University Press, Oxford, 2009)
F.M. Miatto, T. Brougham, A.M. Yao, Eur. Phys. J. D (2012), DOI: 10.1140/epjd/e2012-30063-y
L. Allen, S.M. Barnett, M.J. Padgett, Optical Angular Momentum (Institute of Physics Publishing, Bristol, 2003)
A.E. Siegman, Lasers (University Science Books, Sausalito, 1986)
A. Mair, A. Vaziri, G. Weihs, A. Zeilinger, Nature 412, 313 (2001)
S. Franke-Arnold, S.M. Barnett, M.J. Padgett, L. Allen, Phys. Rev. A 65, 033823 (2002)
J.P. Torres, A. Alexandrescu, L. Torner, Phys. Rev. A 68, 050301 (2003)
J. Leach, B. Jack, J. Romero, A.K. Jha, A.M. Yao, S. Franke-Arnold, D.G. Ireland, R.W. Boyd, S.M. Barnett, M.J. Padgett, Science 329, 662 (2010)
S.M. Barnett, D.T. Pegg, Phys. Rev. A 41, 3427 (1990)
B.J. Pors, F. Miatto, G.W. ’t Hooft, E.R. Eliel, J.P. Woerdman, J. Opt. 3, 064008 (2011)
F.M. Miatto, A.M. Yao, S.M. Barnett, Phys. Rev. A 83, 033816 (2011)
B. Jack, A.M. Yao, J. Leach, J. Romero, S. Franke-Arnold, D.G. Ireland, S.M. Barnett, M.J. Padgett, Phys. Rev. A 81, 043844 (2010)
S.S.R. Oemrawsingh, X. Ma, D. Voigt, A. Aiello, E.R. Eliel, G.W. ’t Hooft, J.P. Woerdman, Phys. Rev. Lett. 95, 240501 (2005)
A.C. Dada, J. Leach, G.S. Buller, M.J. Padgett, E. Andersson, Nat. Phys. 7, 677 (2011)
J.T. Barreiro, N.K. Langford, N.A. Peters, P.G. Kwiat, Phys. Rev. Lett. 95, 260501 (2005)
B.E.A. Saleh, M.C. Teich, Fundamentals of Photonics (Wiley, New York, 2007)
R.S. Bennink, Phys. Rev. A 81, 053805 (2010)
A.M. Yao, New J. Phys. 13, 053048 (2011)
C.K. Law, J.H. Eberly, Phys. Rev. Lett. 92, 127903 (2004)
J.B. Pors, S.S.R. Oemrawsingh, A. Aiello, M.P. van Exter, E.R. Eliel, G.W. ’t Hooft, J.P. Woerdman, Phys. Rev. Lett. 101, 120502 (2008)
J. Romero, J. Leach, M.R. Dennis, S. Franke-Arnold, S.M. Barnett, M.J. Padgett, Phys. Rev. Lett. 106, 100407 (2011)
G. Watson, A Treatise on the Theory of Bessel Functions, Cambridge Mathematical Library (Cambridge University Press, 1995)
M.J. Padgett, L. Allen, Opt. Commun. 121, 36 (1995)
M.P. van Exter, A. Aiello, S.S.R. Oemrawsingh, G. Nienhuis, J.P. Woerdman, Phys. Rev. A 74, 012309 (2006)
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Miatto, F.M., Giovannini, D., Romero, J. et al. Bounds and optimisation of orbital angular momentum bandwidths within parametric down-conversion systems. Eur. Phys. J. D 66, 178 (2012). https://doi.org/10.1140/epjd/e2012-20736-x
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DOI: https://doi.org/10.1140/epjd/e2012-20736-x