Bounds and optimisation of orbital angular momentum bandwidths within parametric down-conversion systems

Miatto, F. M.1, Giovannini, D.2, Romero, J.2, Franke-Arnold, S.2, Barnett, S. M.1, Padgett, M. J.2
1SUPA and Department of Physics, University of Strathclyde, Glasgow, UK
2School of Physics and Astronomy, SUPA, University of Glasgow, Glasgow, UK

Tóm tắt

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.

Tài liệu tham khảo

M.A. Neilsen, I.L. Chuang, Quantum computation and quantum information (Cambridge University Press, Cambridge, 2000) citation_journal_title=Nat. Phys.; citation_author=G. Molina-Terriza, J.P. Torres, L. Torner; citation_volume=3; citation_publication_date=2008; citation_pages=305; citation_doi=10.1038/nphys607; citation_id=CR2 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) citation_journal_title=Nature; citation_author=A. Mair, A. Vaziri, G. Weihs, A. Zeilinger; citation_volume=412; citation_publication_date=2001; citation_pages=313; citation_doi=10.1038/35085529; citation_id=CR7 citation_journal_title=Phys. Rev. A; citation_author=S. Franke-Arnold, S.M. Barnett, M.J. Padgett, L. Allen; citation_volume=65; citation_publication_date=2002; citation_pages=033823; citation_doi=10.1103/PhysRevA.65.033823; citation_id=CR8 citation_journal_title=Phys. Rev. A; citation_author=J.P. Torres, A. Alexandrescu, L. Torner; citation_volume=68; citation_publication_date=2003; citation_pages=050301; citation_doi=10.1103/PhysRevA.68.050301; citation_id=CR9 citation_journal_title=Science; citation_author=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; citation_volume=329; citation_publication_date=2010; citation_pages=662; citation_doi=10.1126/science.1190523; citation_id=CR10 citation_journal_title=Phys. Rev. A; citation_author=S.M. Barnett, D.T. Pegg; citation_volume=41; citation_publication_date=1990; citation_pages=3427; citation_doi=10.1103/PhysRevA.41.3427; citation_id=CR11 citation_journal_title=J. Opt.; citation_author=B.J. Pors, F. Miatto, G.W. ’t Hooft, E.R. Eliel, J.P. Woerdman; citation_volume=3; citation_publication_date=2011; citation_pages=064008; citation_doi=10.1088/2040-8978/13/6/064008; citation_id=CR12 citation_journal_title=Phys. Rev. A; citation_author=F.M. Miatto, A.M. Yao, S.M. Barnett; citation_volume=83; citation_publication_date=2011; citation_pages=033816; citation_doi=10.1103/PhysRevA.83.033816; citation_id=CR13 citation_journal_title=Phys. Rev. A; citation_author=B. Jack, A.M. Yao, J. Leach, J. Romero, S. Franke-Arnold, D.G. Ireland, S.M. Barnett, M.J. Padgett; citation_volume=81; citation_publication_date=2010; citation_pages=043844; citation_doi=10.1103/PhysRevA.81.043844; citation_id=CR14 citation_journal_title=Phys. Rev. Lett.; citation_author=S.S.R. Oemrawsingh, X. Ma, D. Voigt, A. Aiello, E.R. Eliel, G.W. ’t Hooft, J.P. Woerdman; citation_volume=95; citation_publication_date=2005; citation_pages=240501; citation_doi=10.1103/PhysRevLett.95.240501; citation_id=CR15 citation_journal_title=Nat. Phys.; citation_author=A.C. Dada, J. Leach, G.S. Buller, M.J. Padgett, E. Andersson; citation_volume=7; citation_publication_date=2011; citation_pages=677; citation_doi=10.1038/nphys1996; citation_id=CR16 citation_journal_title=Phys. Rev. Lett.; citation_author=J.T. Barreiro, N.K. Langford, N.A. Peters, P.G. Kwiat; citation_volume=95; citation_publication_date=2005; citation_pages=260501; citation_doi=10.1103/PhysRevLett.95.260501; citation_id=CR17 B.E.A. Saleh, M.C. Teich, Fundamentals of Photonics (Wiley, New York, 2007) citation_journal_title=Phys. Rev. A; citation_author=R.S. Bennink; citation_volume=81; citation_publication_date=2010; citation_pages=053805; citation_doi=10.1103/PhysRevA.81.053805; citation_id=CR19 citation_journal_title=New J. Phys.; citation_author=A.M. Yao; citation_volume=13; citation_publication_date=2011; citation_pages=053048; citation_doi=10.1088/1367-2630/13/5/053048; citation_id=CR20 citation_journal_title=Phys. Rev. Lett.; citation_author=C.K. Law, J.H. Eberly; citation_volume=92; citation_publication_date=2004; citation_pages=127903; citation_doi=10.1103/PhysRevLett.92.127903; citation_id=CR21 citation_journal_title=Phys. Rev. Lett.; citation_author=J.B. Pors, S.S.R. Oemrawsingh, A. Aiello, M.P. Exter, E.R. Eliel, G.W. ’t Hooft, J.P. Woerdman; citation_volume=101; citation_publication_date=2008; citation_pages=120502; citation_doi=10.1103/PhysRevLett.101.120502; citation_id=CR22 citation_journal_title=Phys. Rev. Lett.; citation_author=J. Romero, J. Leach, M.R. Dennis, S. Franke-Arnold, S.M. Barnett, M.J. Padgett; citation_volume=106; citation_publication_date=2011; citation_pages=100407; citation_doi=10.1103/PhysRevLett.106.100407; citation_id=CR23 G. Watson, A Treatise on the Theory of Bessel Functions, Cambridge Mathematical Library (Cambridge University Press, 1995) citation_journal_title=Opt. Commun.; citation_author=M.J. Padgett, L. Allen; citation_volume=121; citation_publication_date=1995; citation_pages=36; citation_doi=10.1016/0030-4018(95)00455-H; citation_id=CR25 citation_journal_title=Phys. Rev. A; citation_author=M.P. Exter, A. Aiello, S.S.R. Oemrawsingh, G. Nienhuis, J.P. Woerdman; citation_volume=74; citation_publication_date=2006; citation_pages=012309; citation_doi=10.1103/PhysRevA.74.012309; citation_id=CR26