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Any lossless transformation on $n_{s}$ spatial and $n_{p}$ internal modes of light can be described by an $n_{s}n_{p}\times n_{s}n_{p}$ unitary matrix, but there is no known procedure to effect an arbitrary $n_{s}n_{p}\times n_{s}n_{p}$ unitary matrix on light in $n_{s}$ spatial and $n_{p}$ internal modes.
G. Golub and W. Kahan, SIAM J. Numer. Anal. 2
1965
Earlier work this paper cites.
G. W. Stewart, SIAM Rev. 19
1977
Earlier work this paper cites.
V. Klema and A. Laub, IEEE Trans. Automat. Contr. 25
1980
Earlier work this paper cites.
G. W. Stewart, Numer. Math. 40
1982
Earlier work this paper cites.
R. Simon and N. Mukunda, Phys. Lett. A 138
1989
Earlier work this paper cites.
R. Simon and N. Mukunda, Phys. Lett. A 143
1990
Earlier work this paper cites.
E. Anderson, Z. Bai, C. Bischof, J. Demmel, J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney, S. Ostrouchov, and D. Sorensen, LAPACK’s User’s Guide (Society for Industrial and Applied Mathematics, Philadelphia, 1992)
1992
Earlier work this paper cites.
M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani, Phys. Rev. Lett. 73
1994
Earlier work this paper cites.
W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C , Vol. 2 (Cambridge University Press, Cambridge, 1996)
1996
Earlier work this paper cites.
D. J. Rowe, B. C. Sanders, and H. de Guise, J. Math. Phys. 40
1999
Earlier work this paper cites.
E. Knill, R. Laflamme, and G. J. Milburn, Nature 409
2001
Earlier work this paper cites.
H. d. Guise, B. C. Sanders, S. D. Bartlett, and W. Zhang, Czech. J. Phys. 51
2001
Earlier work this paper cites.
S. P. Walborn, A. N. de Oliveira, S. Pádua, and C. H. Monken, Phys. Rev. Lett. 90
2003
Earlier work this paper cites.
S. S. Bullock, Quantum Inf. Comput. 4
2004
Cited alongside, same era.
C. Schuck, G. Huber, C. Kurtsiefer, and H. Weinfurter, Phys. Rev. Lett. 96
2006
Cited alongside, same era.
F. S. Khan and M. Perkowski, Theor. Comput. Sci. 367
2006
Cited alongside, same era.
V. V. Shende, S. S. Bullock, and I. L. Markov, IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst. 25
2006
Cited alongside, same era.
P. Kok, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, Rev. Mod. Phys. 79
2007
Cited alongside, same era.
A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, and J. L. O’Brien, Science 320
2008
Cited alongside, same era.
S. Aaronson and A. Arkhipov, Theory Comput. 9
2013
Later among the works it cites.
S. K. Goyal, F. S. Roux, A. Forbes, and T. Konrad, Phys. Rev. Lett. 110
2013
Later among the works it cites.
M. A. Broome, A. Fedrizzi, S. Rahimi-Keshari, J. Dove, S. Aaronson, T. C. Ralph, and A. G. White, Science 339
2013
Later among the works it cites.
J. B. Spring, B. J. Metcalf, P. C. Humphreys, W. S. Kolthammer, X.-M. Jin, M. Barbieri, A. Datta, N. Thomas-Peter, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, Science 339
2013
Later among the works it cites.
B. J. Metcalf, N. Thomas-Peter, J. B. Spring, D. Kundys, M. A. Broome, P. C. Humphreys, X.-M. Jin, M. Barbieri, W. S. Kolthammer, J. C. Gates, et al. , Nat. Commun. 4
2013
Later among the works it cites.
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Y. Lahini, R. Pugatch, F. Pozzi, M. Sorel, R. Morandotti, N. Davidson, and Y. Silberberg, Phys. Rev. Lett. 103
2009
Cited alongside, same era.
B. D. Sutton, Numer. Algorithms 50
2009
Cited alongside, same era.
E. Nagali, L. Sansoni, F. Sciarrino, F. De Martini, L. Marrucci, B. Piccirillo, E. Karimi, and E. Santamato, Nat. Photonics 3
2009
Cited alongside, same era.
A. Peruzzo, M. Lobino, J. C. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Wörhoff, et al. , Science 329
2010
Cited alongside, same era.
J. C. García-Escartín and P. Chamorro-Posada, J. Opt. 13
2011
Cited alongside, same era.
B. N. Simon, C. M. Chandrashekar, and S. Simon, Phys. Rev. A 85
2012
Cited alongside, same era.
D. Flamm, C. Schulze, D. Naidoo, S. Schröter, A. Forbes, and M. Duparré, J. Lightwave Technol. 31
2013
Later among the works it cites.
K. R. Motes, A. Gilchrist, J. P. Dowling, and P. P. Rohde, Phys. Rev. Lett. 113
2014
Later among the works it cites.
K. Poulios, R. Keil, D. Fry, J. D. A. Meinecke, J. C. F. Matthews, A. Politi, M. Lobino, M. Gräfe, M. Heinrich, S. Nolte, A. Szameit, and J. L. O’Brien, Phys. Rev. Lett. 112
2014
Later among the works it cites.
S. R. Huisman, T. J. Huisman, S. A. Goorden, A. P. Mosk, and P. W. H. Pinkse, Opt. Express 22
2014
Later among the works it cites.
E. Karimi, D. Giovannini, E. Bolduc, N. Bent, F. M. Miatto, M. J. Padgett, and R. W. Boyd, Phys. Rev. A 89
2014
Later among the works it cites.
M. Bentivegna, N. Spagnolo, C. Vitelli, F. Flamini, N. Viggianiello, L. Latmiral, P. Mataloni, D. J. Brod, E. F. Galvão, A. Crespi, R. Ramponi, R. Osellame, and F. Sciarrino, Sci. Adv. 1
2015
Closest in time.
I. Dhand and S. K. Goyal, “https://github.com/ishdhand/internal-spatial-decomposition,” (2015)
2015
Closest in time.