J. Romero, D. Giovannini, S. Franke-Anold, S. M. Barnett, and M. J. Padgett, “Increasing the dimension in high-dimensional two-photon orbital angular momentum entanglement,” Phys. Rev. A86, 012334 (2012).

[CrossRef]

A. Yao, “Spectral decomposition of entangled photons with an arbitrary pump,” New J. Phys.13, 053048 (2011).

[CrossRef]

G. Vallone, I. Gianani, E. Inostroza, C. Saavedra, G. Lima, A. Cabello, and P. Mataloni, “Testing hardys nonlocality proof with genuine energy-time entanglement,” Phys. Rev. A83, 042105 (2011).

[CrossRef]

M. Wiesniak, T. Paterek, and A. Zeilinger, “Entanglement in mutually unbiased bases,” New J. Phys.13, 053047 (2011).

[CrossRef]

M. Dennis, R.P. King, B. Jack, K. O’Holleran, and M.J. Padgett, “Isolated optical vortex knots”, Nat. Phys.6, 118–121 (2010).

[CrossRef]

J. Leach, B. Jack, J. Romero, A. Jha, A. Yao, S. Franke-Arnold, D. Ireland, R. Boyd, S. Barnett, and M. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science329, 662 (2010).

[CrossRef]

B. Jack, A. Yao, J. Leach, J. Romero, S. Franke-Arnold, D. Ireland, S. Barnett, and M. Padgett, “Entanglement of arbitrary superpositions of modes within two-dimensional orbital angular momentum state spaces,” Phys. Rev. A81, 43844 (2010).

[CrossRef]

J. Leach, B. Jack, J. Romero, M. Ritsch-Marte, R. Boyd, A. Jha, S. Barnett, S. Franke-Arnold, and M. J. Padgett, “Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces,” Opt. Express10, 8287–8293 (2009).

[CrossRef]

S. Franke-Arnold, L. Allen, and M. Padgett, “Advances in optical angular momentum,” Laser Photonics Rev.2, 299–313 (2008).

[CrossRef]

G. Molina-Terriza, J. Torres, and L. Torner, “Twisted photons,” Nat. Phys.3, 305–310 (2007).

[CrossRef]

M. Barbieri, F. De Martini, G. Di Nepi, and P. Mataloni, “Towards a test of non-locality without ’supplementary assumptions’,” Phys. Lett. A334, 23–29 (2005).

[CrossRef]

M. Genovese, “Research on hidden variable theories: a review of recent progresses,” Phys. Rep.413, 319–396 (2005).

[CrossRef]

J. Torres, A. Alexandrescu, and L. Torner, “Quantum spiral bandwidth of entangled two-photon states,” Phys. Rev. A68, 050301 (2003).

[CrossRef]

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature412, 313–316 (2001).

[CrossRef]

G. Di Giuseppe, F. De Martini, and D. Boschi, “Experimental test of the violation of local realism in quantum mechanics without Bell inequalities,” Phys. Rev. A56, 176–181 (1997).

[CrossRef]

D. Boschi, S. Branca, F. De Martini, and L. Hardy, “Ladder proof of nonlocality without inequalities: theoretical and experimental results,” Phys. Rev. Lett.79, 2755–2758 (1997).

[CrossRef]

N. Mermin, “The best version of Bell’s theorem,” Ann. N. Y. Acad. Sci.755, 616–623 (1995).

[CrossRef]

J. Torgerson, D. Branning, C. Monken, and L. Mandel, “Experimental demonstration of the violation of local realism without Bell inequalities,” Phys. Lett. A204, 323–328 (1995).

[CrossRef]

S. Goldstein, “Nonlocality without inequalities for almost all entangled states for two particles,” Phys. Rev. Lett.72, 1951–1951 (1994).

[CrossRef]

T. Jordan, “Testing einstein-podolsky-rosen assumptions without inequalities with two photons or particles with spin 1/2,” Phys. Rev. A50, 62–66 (1994).

[CrossRef]

L. Hardy, “Nonlocality for two particles without inequalities for almost all entangled states,” Phys. Rev. Lett.71, 1665–1668 (1993).

[CrossRef]

Y. Shih and C. Alley, “New type of eisntein-podolsky-rosen bohm experiment using pairs of light quanta produced by optical parametric down conversion,” Phys. Rev. Lett.61, 2921–2924 (1988).

[CrossRef]

J. Bell, “On the problem of hidden variables in quantum mechanics,” Rev. Mod. Phys.38, 447–452 (1966).

[CrossRef]

A. Einstein, B. Podolsky, and N. Rosen, “Can quantum mechanical description of reality ever be considered complete?” Phys. Rev.47, 777–780 (1935).

[CrossRef]

J. Torres, A. Alexandrescu, and L. Torner, “Quantum spiral bandwidth of entangled two-photon states,” Phys. Rev. A68, 050301 (2003).

[CrossRef]

S. Franke-Arnold, L. Allen, and M. Padgett, “Advances in optical angular momentum,” Laser Photonics Rev.2, 299–313 (2008).

[CrossRef]

Y. Shih and C. Alley, “New type of eisntein-podolsky-rosen bohm experiment using pairs of light quanta produced by optical parametric down conversion,” Phys. Rev. Lett.61, 2921–2924 (1988).

[CrossRef]

M. Barbieri, F. De Martini, G. Di Nepi, and P. Mataloni, “Towards a test of non-locality without ’supplementary assumptions’,” Phys. Lett. A334, 23–29 (2005).

[CrossRef]

B. Jack, A. Yao, J. Leach, J. Romero, S. Franke-Arnold, D. Ireland, S. Barnett, and M. Padgett, “Entanglement of arbitrary superpositions of modes within two-dimensional orbital angular momentum state spaces,” Phys. Rev. A81, 43844 (2010).

[CrossRef]

J. Leach, B. Jack, J. Romero, A. Jha, A. Yao, S. Franke-Arnold, D. Ireland, R. Boyd, S. Barnett, and M. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science329, 662 (2010).

[CrossRef]

J. Leach, B. Jack, J. Romero, M. Ritsch-Marte, R. Boyd, A. Jha, S. Barnett, S. Franke-Arnold, and M. J. Padgett, “Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces,” Opt. Express10, 8287–8293 (2009).

[CrossRef]

J. Romero, D. Giovannini, S. Franke-Anold, S. M. Barnett, and M. J. Padgett, “Increasing the dimension in high-dimensional two-photon orbital angular momentum entanglement,” Phys. Rev. A86, 012334 (2012).

[CrossRef]

J. Bell, “On the problem of hidden variables in quantum mechanics,” Rev. Mod. Phys.38, 447–452 (1966).

[CrossRef]

D. Boschi, S. Branca, F. De Martini, and L. Hardy, “Ladder proof of nonlocality without inequalities: theoretical and experimental results,” Phys. Rev. Lett.79, 2755–2758 (1997).

[CrossRef]

G. Di Giuseppe, F. De Martini, and D. Boschi, “Experimental test of the violation of local realism in quantum mechanics without Bell inequalities,” Phys. Rev. A56, 176–181 (1997).

[CrossRef]

J. Leach, B. Jack, J. Romero, A. Jha, A. Yao, S. Franke-Arnold, D. Ireland, R. Boyd, S. Barnett, and M. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science329, 662 (2010).

[CrossRef]

J. Leach, B. Jack, J. Romero, M. Ritsch-Marte, R. Boyd, A. Jha, S. Barnett, S. Franke-Arnold, and M. J. Padgett, “Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces,” Opt. Express10, 8287–8293 (2009).

[CrossRef]

D. Boschi, S. Branca, F. De Martini, and L. Hardy, “Ladder proof of nonlocality without inequalities: theoretical and experimental results,” Phys. Rev. Lett.79, 2755–2758 (1997).

[CrossRef]

J. Torgerson, D. Branning, C. Monken, and L. Mandel, “Experimental demonstration of the violation of local realism without Bell inequalities,” Phys. Lett. A204, 323–328 (1995).

[CrossRef]

G. Vallone, I. Gianani, E. Inostroza, C. Saavedra, G. Lima, A. Cabello, and P. Mataloni, “Testing hardys nonlocality proof with genuine energy-time entanglement,” Phys. Rev. A83, 042105 (2011).

[CrossRef]

M. Barbieri, F. De Martini, G. Di Nepi, and P. Mataloni, “Towards a test of non-locality without ’supplementary assumptions’,” Phys. Lett. A334, 23–29 (2005).

[CrossRef]

G. Di Giuseppe, F. De Martini, and D. Boschi, “Experimental test of the violation of local realism in quantum mechanics without Bell inequalities,” Phys. Rev. A56, 176–181 (1997).

[CrossRef]

D. Boschi, S. Branca, F. De Martini, and L. Hardy, “Ladder proof of nonlocality without inequalities: theoretical and experimental results,” Phys. Rev. Lett.79, 2755–2758 (1997).

[CrossRef]

M. Dennis, R.P. King, B. Jack, K. O’Holleran, and M.J. Padgett, “Isolated optical vortex knots”, Nat. Phys.6, 118–121 (2010).

[CrossRef]

G. Di Giuseppe, F. De Martini, and D. Boschi, “Experimental test of the violation of local realism in quantum mechanics without Bell inequalities,” Phys. Rev. A56, 176–181 (1997).

[CrossRef]

M. Barbieri, F. De Martini, G. Di Nepi, and P. Mataloni, “Towards a test of non-locality without ’supplementary assumptions’,” Phys. Lett. A334, 23–29 (2005).

[CrossRef]

A. Einstein, B. Podolsky, and N. Rosen, “Can quantum mechanical description of reality ever be considered complete?” Phys. Rev.47, 777–780 (1935).

[CrossRef]

J. Romero, D. Giovannini, S. Franke-Anold, S. M. Barnett, and M. J. Padgett, “Increasing the dimension in high-dimensional two-photon orbital angular momentum entanglement,” Phys. Rev. A86, 012334 (2012).

[CrossRef]

J. Leach, B. Jack, J. Romero, A. Jha, A. Yao, S. Franke-Arnold, D. Ireland, R. Boyd, S. Barnett, and M. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science329, 662 (2010).

[CrossRef]

B. Jack, A. Yao, J. Leach, J. Romero, S. Franke-Arnold, D. Ireland, S. Barnett, and M. Padgett, “Entanglement of arbitrary superpositions of modes within two-dimensional orbital angular momentum state spaces,” Phys. Rev. A81, 43844 (2010).

[CrossRef]

J. Leach, B. Jack, J. Romero, M. Ritsch-Marte, R. Boyd, A. Jha, S. Barnett, S. Franke-Arnold, and M. J. Padgett, “Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces,” Opt. Express10, 8287–8293 (2009).

[CrossRef]

S. Franke-Arnold, L. Allen, and M. Padgett, “Advances in optical angular momentum,” Laser Photonics Rev.2, 299–313 (2008).

[CrossRef]

M. Genovese, “Research on hidden variable theories: a review of recent progresses,” Phys. Rep.413, 319–396 (2005).

[CrossRef]

G. Vallone, I. Gianani, E. Inostroza, C. Saavedra, G. Lima, A. Cabello, and P. Mataloni, “Testing hardys nonlocality proof with genuine energy-time entanglement,” Phys. Rev. A83, 042105 (2011).

[CrossRef]

J. Romero, D. Giovannini, S. Franke-Anold, S. M. Barnett, and M. J. Padgett, “Increasing the dimension in high-dimensional two-photon orbital angular momentum entanglement,” Phys. Rev. A86, 012334 (2012).

[CrossRef]

S. Goldstein, “Nonlocality without inequalities for almost all entangled states for two particles,” Phys. Rev. Lett.72, 1951–1951 (1994).

[CrossRef]

D. Boschi, S. Branca, F. De Martini, and L. Hardy, “Ladder proof of nonlocality without inequalities: theoretical and experimental results,” Phys. Rev. Lett.79, 2755–2758 (1997).

[CrossRef]

L. Hardy, “Nonlocality for two particles without inequalities for almost all entangled states,” Phys. Rev. Lett.71, 1665–1668 (1993).

[CrossRef]

G. Vallone, I. Gianani, E. Inostroza, C. Saavedra, G. Lima, A. Cabello, and P. Mataloni, “Testing hardys nonlocality proof with genuine energy-time entanglement,” Phys. Rev. A83, 042105 (2011).

[CrossRef]

B. Jack, A. Yao, J. Leach, J. Romero, S. Franke-Arnold, D. Ireland, S. Barnett, and M. Padgett, “Entanglement of arbitrary superpositions of modes within two-dimensional orbital angular momentum state spaces,” Phys. Rev. A81, 43844 (2010).

[CrossRef]

J. Leach, B. Jack, J. Romero, A. Jha, A. Yao, S. Franke-Arnold, D. Ireland, R. Boyd, S. Barnett, and M. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science329, 662 (2010).

[CrossRef]

J. Leach, B. Jack, J. Romero, A. Jha, A. Yao, S. Franke-Arnold, D. Ireland, R. Boyd, S. Barnett, and M. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science329, 662 (2010).

[CrossRef]

B. Jack, A. Yao, J. Leach, J. Romero, S. Franke-Arnold, D. Ireland, S. Barnett, and M. Padgett, “Entanglement of arbitrary superpositions of modes within two-dimensional orbital angular momentum state spaces,” Phys. Rev. A81, 43844 (2010).

[CrossRef]

M. Dennis, R.P. King, B. Jack, K. O’Holleran, and M.J. Padgett, “Isolated optical vortex knots”, Nat. Phys.6, 118–121 (2010).

[CrossRef]

J. Leach, B. Jack, J. Romero, M. Ritsch-Marte, R. Boyd, A. Jha, S. Barnett, S. Franke-Arnold, and M. J. Padgett, “Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces,” Opt. Express10, 8287–8293 (2009).

[CrossRef]

J. Leach, B. Jack, J. Romero, A. Jha, A. Yao, S. Franke-Arnold, D. Ireland, R. Boyd, S. Barnett, and M. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science329, 662 (2010).

[CrossRef]

J. Leach, B. Jack, J. Romero, M. Ritsch-Marte, R. Boyd, A. Jha, S. Barnett, S. Franke-Arnold, and M. J. Padgett, “Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces,” Opt. Express10, 8287–8293 (2009).

[CrossRef]

T. Jordan, “Testing einstein-podolsky-rosen assumptions without inequalities with two photons or particles with spin 1/2,” Phys. Rev. A50, 62–66 (1994).

[CrossRef]

M. Dennis, R.P. King, B. Jack, K. O’Holleran, and M.J. Padgett, “Isolated optical vortex knots”, Nat. Phys.6, 118–121 (2010).

[CrossRef]

B. Jack, A. Yao, J. Leach, J. Romero, S. Franke-Arnold, D. Ireland, S. Barnett, and M. Padgett, “Entanglement of arbitrary superpositions of modes within two-dimensional orbital angular momentum state spaces,” Phys. Rev. A81, 43844 (2010).

[CrossRef]

J. Leach, B. Jack, J. Romero, A. Jha, A. Yao, S. Franke-Arnold, D. Ireland, R. Boyd, S. Barnett, and M. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science329, 662 (2010).

[CrossRef]

J. Leach, B. Jack, J. Romero, M. Ritsch-Marte, R. Boyd, A. Jha, S. Barnett, S. Franke-Arnold, and M. J. Padgett, “Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces,” Opt. Express10, 8287–8293 (2009).

[CrossRef]

G. Vallone, I. Gianani, E. Inostroza, C. Saavedra, G. Lima, A. Cabello, and P. Mataloni, “Testing hardys nonlocality proof with genuine energy-time entanglement,” Phys. Rev. A83, 042105 (2011).

[CrossRef]

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature412, 313–316 (2001).

[CrossRef]

J. Torgerson, D. Branning, C. Monken, and L. Mandel, “Experimental demonstration of the violation of local realism without Bell inequalities,” Phys. Lett. A204, 323–328 (1995).

[CrossRef]

G. Vallone, I. Gianani, E. Inostroza, C. Saavedra, G. Lima, A. Cabello, and P. Mataloni, “Testing hardys nonlocality proof with genuine energy-time entanglement,” Phys. Rev. A83, 042105 (2011).

[CrossRef]

M. Barbieri, F. De Martini, G. Di Nepi, and P. Mataloni, “Towards a test of non-locality without ’supplementary assumptions’,” Phys. Lett. A334, 23–29 (2005).

[CrossRef]

N. Mermin, “The best version of Bell’s theorem,” Ann. N. Y. Acad. Sci.755, 616–623 (1995).

[CrossRef]

G. Molina-Terriza, J. Torres, and L. Torner, “Twisted photons,” Nat. Phys.3, 305–310 (2007).

[CrossRef]

J. Torgerson, D. Branning, C. Monken, and L. Mandel, “Experimental demonstration of the violation of local realism without Bell inequalities,” Phys. Lett. A204, 323–328 (1995).

[CrossRef]

M. Dennis, R.P. King, B. Jack, K. O’Holleran, and M.J. Padgett, “Isolated optical vortex knots”, Nat. Phys.6, 118–121 (2010).

[CrossRef]

B. Jack, A. Yao, J. Leach, J. Romero, S. Franke-Arnold, D. Ireland, S. Barnett, and M. Padgett, “Entanglement of arbitrary superpositions of modes within two-dimensional orbital angular momentum state spaces,” Phys. Rev. A81, 43844 (2010).

[CrossRef]

J. Leach, B. Jack, J. Romero, A. Jha, A. Yao, S. Franke-Arnold, D. Ireland, R. Boyd, S. Barnett, and M. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science329, 662 (2010).

[CrossRef]

S. Franke-Arnold, L. Allen, and M. Padgett, “Advances in optical angular momentum,” Laser Photonics Rev.2, 299–313 (2008).

[CrossRef]

M. Padgett and J. Courtial, “Poincare-sphere equivalentfor light beams containing orbital angular momentum,” Opt. Lett.24, 430–432 (1999).

[CrossRef]

J. Romero, D. Giovannini, S. Franke-Anold, S. M. Barnett, and M. J. Padgett, “Increasing the dimension in high-dimensional two-photon orbital angular momentum entanglement,” Phys. Rev. A86, 012334 (2012).

[CrossRef]

J. Leach, B. Jack, J. Romero, M. Ritsch-Marte, R. Boyd, A. Jha, S. Barnett, S. Franke-Arnold, and M. J. Padgett, “Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces,” Opt. Express10, 8287–8293 (2009).

[CrossRef]

M. Dennis, R.P. King, B. Jack, K. O’Holleran, and M.J. Padgett, “Isolated optical vortex knots”, Nat. Phys.6, 118–121 (2010).

[CrossRef]

M. Wiesniak, T. Paterek, and A. Zeilinger, “Entanglement in mutually unbiased bases,” New J. Phys.13, 053047 (2011).

[CrossRef]

A. Einstein, B. Podolsky, and N. Rosen, “Can quantum mechanical description of reality ever be considered complete?” Phys. Rev.47, 777–780 (1935).

[CrossRef]

J. Leach, B. Jack, J. Romero, M. Ritsch-Marte, R. Boyd, A. Jha, S. Barnett, S. Franke-Arnold, and M. J. Padgett, “Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces,” Opt. Express10, 8287–8293 (2009).

[CrossRef]

J. Romero, D. Giovannini, S. Franke-Anold, S. M. Barnett, and M. J. Padgett, “Increasing the dimension in high-dimensional two-photon orbital angular momentum entanglement,” Phys. Rev. A86, 012334 (2012).

[CrossRef]

J. Leach, B. Jack, J. Romero, A. Jha, A. Yao, S. Franke-Arnold, D. Ireland, R. Boyd, S. Barnett, and M. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science329, 662 (2010).

[CrossRef]

B. Jack, A. Yao, J. Leach, J. Romero, S. Franke-Arnold, D. Ireland, S. Barnett, and M. Padgett, “Entanglement of arbitrary superpositions of modes within two-dimensional orbital angular momentum state spaces,” Phys. Rev. A81, 43844 (2010).

[CrossRef]

J. Leach, B. Jack, J. Romero, M. Ritsch-Marte, R. Boyd, A. Jha, S. Barnett, S. Franke-Arnold, and M. J. Padgett, “Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces,” Opt. Express10, 8287–8293 (2009).

[CrossRef]

A. Einstein, B. Podolsky, and N. Rosen, “Can quantum mechanical description of reality ever be considered complete?” Phys. Rev.47, 777–780 (1935).

[CrossRef]

G. Vallone, I. Gianani, E. Inostroza, C. Saavedra, G. Lima, A. Cabello, and P. Mataloni, “Testing hardys nonlocality proof with genuine energy-time entanglement,” Phys. Rev. A83, 042105 (2011).

[CrossRef]

Y. Shih and C. Alley, “New type of eisntein-podolsky-rosen bohm experiment using pairs of light quanta produced by optical parametric down conversion,” Phys. Rev. Lett.61, 2921–2924 (1988).

[CrossRef]

J. Torgerson, D. Branning, C. Monken, and L. Mandel, “Experimental demonstration of the violation of local realism without Bell inequalities,” Phys. Lett. A204, 323–328 (1995).

[CrossRef]

G. Molina-Terriza, J. Torres, and L. Torner, “Twisted photons,” Nat. Phys.3, 305–310 (2007).

[CrossRef]

J. Torres, A. Alexandrescu, and L. Torner, “Quantum spiral bandwidth of entangled two-photon states,” Phys. Rev. A68, 050301 (2003).

[CrossRef]

G. Molina-Terriza, J. Torres, and L. Torner, “Twisted photons,” Nat. Phys.3, 305–310 (2007).

[CrossRef]

J. Torres, A. Alexandrescu, and L. Torner, “Quantum spiral bandwidth of entangled two-photon states,” Phys. Rev. A68, 050301 (2003).

[CrossRef]

G. Vallone, I. Gianani, E. Inostroza, C. Saavedra, G. Lima, A. Cabello, and P. Mataloni, “Testing hardys nonlocality proof with genuine energy-time entanglement,” Phys. Rev. A83, 042105 (2011).

[CrossRef]

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature412, 313–316 (2001).

[CrossRef]

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature412, 313–316 (2001).

[CrossRef]

M. Wiesniak, T. Paterek, and A. Zeilinger, “Entanglement in mutually unbiased bases,” New J. Phys.13, 053047 (2011).

[CrossRef]

A. Yao, “Spectral decomposition of entangled photons with an arbitrary pump,” New J. Phys.13, 053048 (2011).

[CrossRef]

B. Jack, A. Yao, J. Leach, J. Romero, S. Franke-Arnold, D. Ireland, S. Barnett, and M. Padgett, “Entanglement of arbitrary superpositions of modes within two-dimensional orbital angular momentum state spaces,” Phys. Rev. A81, 43844 (2010).

[CrossRef]

J. Leach, B. Jack, J. Romero, A. Jha, A. Yao, S. Franke-Arnold, D. Ireland, R. Boyd, S. Barnett, and M. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science329, 662 (2010).

[CrossRef]

M. Wiesniak, T. Paterek, and A. Zeilinger, “Entanglement in mutually unbiased bases,” New J. Phys.13, 053047 (2011).

[CrossRef]

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature412, 313–316 (2001).

[CrossRef]

N. Mermin, “The best version of Bell’s theorem,” Ann. N. Y. Acad. Sci.755, 616–623 (1995).

[CrossRef]

S. Franke-Arnold, L. Allen, and M. Padgett, “Advances in optical angular momentum,” Laser Photonics Rev.2, 299–313 (2008).

[CrossRef]

M. Dennis, R.P. King, B. Jack, K. O’Holleran, and M.J. Padgett, “Isolated optical vortex knots”, Nat. Phys.6, 118–121 (2010).

[CrossRef]

G. Molina-Terriza, J. Torres, and L. Torner, “Twisted photons,” Nat. Phys.3, 305–310 (2007).

[CrossRef]

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature412, 313–316 (2001).

[CrossRef]

M. Wiesniak, T. Paterek, and A. Zeilinger, “Entanglement in mutually unbiased bases,” New J. Phys.13, 053047 (2011).

[CrossRef]

A. Yao, “Spectral decomposition of entangled photons with an arbitrary pump,” New J. Phys.13, 053048 (2011).

[CrossRef]

J. Leach, B. Jack, J. Romero, M. Ritsch-Marte, R. Boyd, A. Jha, S. Barnett, S. Franke-Arnold, and M. J. Padgett, “Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces,” Opt. Express10, 8287–8293 (2009).

[CrossRef]

M. Barbieri, F. De Martini, G. Di Nepi, and P. Mataloni, “Towards a test of non-locality without ’supplementary assumptions’,” Phys. Lett. A334, 23–29 (2005).

[CrossRef]

J. Torgerson, D. Branning, C. Monken, and L. Mandel, “Experimental demonstration of the violation of local realism without Bell inequalities,” Phys. Lett. A204, 323–328 (1995).

[CrossRef]

M. Genovese, “Research on hidden variable theories: a review of recent progresses,” Phys. Rep.413, 319–396 (2005).

[CrossRef]

A. Einstein, B. Podolsky, and N. Rosen, “Can quantum mechanical description of reality ever be considered complete?” Phys. Rev.47, 777–780 (1935).

[CrossRef]

T. Jordan, “Testing einstein-podolsky-rosen assumptions without inequalities with two photons or particles with spin 1/2,” Phys. Rev. A50, 62–66 (1994).

[CrossRef]

G. Vallone, I. Gianani, E. Inostroza, C. Saavedra, G. Lima, A. Cabello, and P. Mataloni, “Testing hardys nonlocality proof with genuine energy-time entanglement,” Phys. Rev. A83, 042105 (2011).

[CrossRef]

G. Di Giuseppe, F. De Martini, and D. Boschi, “Experimental test of the violation of local realism in quantum mechanics without Bell inequalities,” Phys. Rev. A56, 176–181 (1997).

[CrossRef]

B. Jack, A. Yao, J. Leach, J. Romero, S. Franke-Arnold, D. Ireland, S. Barnett, and M. Padgett, “Entanglement of arbitrary superpositions of modes within two-dimensional orbital angular momentum state spaces,” Phys. Rev. A81, 43844 (2010).

[CrossRef]

J. Torres, A. Alexandrescu, and L. Torner, “Quantum spiral bandwidth of entangled two-photon states,” Phys. Rev. A68, 050301 (2003).

[CrossRef]

J. Romero, D. Giovannini, S. Franke-Anold, S. M. Barnett, and M. J. Padgett, “Increasing the dimension in high-dimensional two-photon orbital angular momentum entanglement,” Phys. Rev. A86, 012334 (2012).

[CrossRef]

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[CrossRef]

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