Abstract

Single-photon (SP) sources are important for a number of optical quantum information processing applications. We study the possibility to integrate triggered solid-state SP emitters directly on a photonic chip. A major challenge consists in efficiently extracting their emission into a single guided mode. Using 3D finite-difference time-domain simulations, we investigate the SP emission from dipole-like nanometer-sized inclusions embedded into different silicon nitride (SiNx) photonic nanowire waveguide designs. We elucidate the effect of the geometry on the emission lifetime and the polarization of the emitted SP. The results show that highly efficient and polarized SP sources can be realized using suspended SiNx slot-waveguides. Combining this with the well-established CMOS-compatible processing technology, fully integrated and complex optical circuits for quantum optics experiments can be developed.

© 2015 Optical Society of America

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References

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M. Rau, T. Heindel, S. Unsleber, T. Braun, J. Fischer, S. Frick, S. Nauerth, C. Schneider, G. Vest, S. Reitzenstein, M. Kamp, A. Forchel, S. Höfling, and H. Weinfurter, “Free space quantum key distribution over 500 meters using electrically driven quantum dot single-photon sources: a proof of principle experiment,” New J. Phys. 16, 043003 (2014).
[Crossref]

N. Spagnolo, C. Vitelli, M. Bentivegna, D. J. Brod, A. Crespi, F. Flamini, S. Giacomini, G. Milani, R. Ramponi, P. Mataloni, R. Osellame, E. F. Galvão, and F. Sciarrino, “Experimental validation of photonic boson sampling,” Nat. Photonics 8, 615–620 (2014).
[Crossref]

2013 (2)

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, “Boson sampling on a photonic chip,” Science 339, 798–801 (2013).
[Crossref]

A. Crespi, R. Osellame, R. Ramponi, D. J. Brod, E. F. Galvão, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7, 545–549 (2013).
[Crossref]

2012 (3)

M. E. Reimer, G. Bulgarini, N. Akopian, M. Hocevar, M. B. Bavinck, M. A. Verheijen, E.P.A.M. Bakkers, L. P. Kouwenhoven, and V. Zwiller, “Bright single-photon sources in bottom-up tailored nanowires,” Nat. Commun. 3, 737 (2012).
[Crossref] [PubMed]

R. Kolesov, K. Xia, R. Reuter, R. Stöhr, A. Zappe, J. Meijer, P. R. Hemmer, and J. Wrachtrup, “Optical detection of a single rare-earth ion in a crystal,” Nat. Commun. 3, 1029 (2012).
[Crossref] [PubMed]

B. De Geyter, K. Komorowska, E. Brainis, P. Emplit, P. Geiregat, A. Hassinen, Z. Hens, and D. Van Thourhout, “From fabrication to mode mapping in silicon nitride microdisks with embedded colloidal quantum dots,” Appl. Phys. Lett. 101, 161101 (2012).
[Crossref]

2010 (4)

F. Pisanello, L. Martiradonna, G. Leménager, P. Spinicelli, A. Fiore, L. Manna, J.-P. Hermier, R. Cingolani, E. Giacobino, M. De Vittorio, and A. Bramati, “Room temperature-dipolelike single photon source with a colloidal dot-in-rod,” Appl. Phys. Lett. 96, 033101 (2010).
[Crossref]

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gerard, “A highly efficient single-photon source based on a quantum dot in a photonic nanowire,” Nat. Photonics 4, 174–177 (2010).

N. Gregersen, T. R. Nielsen, J. Mørk, J. Claudon, and J.-M. Gérard, “Designs for high-efficiency electrically pumped photonic nanowire single-photon sources,” Opt. Express 18, 21204–21218 (2010).
[Crossref] [PubMed]

T. D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe, and J. L. O’Brien, “Quantum computers,” Nature 464, 45–53 (2010).
[Crossref] [PubMed]

2009 (2)

V. Scarani, H. Bechmann-Pasquinucci, N. J. Cerf, M. Dušek, N. Lütkenhaus, and M. Peev, “The security of practical quantum key distribution,” Rev. Mod. Phys. 81, 1301–1350 (2009).
[Crossref]

Y. C. Chul, R. M. Briggs, H. A. Atwater, and M. L. Brongersma, “Broadband enhancement of light emission in silicon slot waveguides,” Opt. Express 17, 7479–7490 (2009).
[Crossref]

2008 (6)

Y. Shen, T. M. Sweeney, and H. Wang, “Zero-phonon linewidth of single nitrogen vacancy centers in diamond nanocrystals,” Phys. Rev. C 77, 033201 (2008).
[Crossref]

Y. Chen, J. Vela, H. Htoon, J. L. Casson, D. J. Werder, D. A. Bussian, V. I. Klimov, and J. A. Hollingsworth, “”giant” multishell CdSe nanocrystal quantum dots with suppressed blinking,” J. Am. Chem. Soc. 130, 5026–5027 (2008).
[Crossref] [PubMed]

B. Mahler, P. Spinicelli, S. Buil, X. Quelin, J.-P. Hermier, and B. Dubertret, “Towards non-blinking colloidal quantum dots,” Nat. Mater. 7, 659–664 (2008).
[Crossref] [PubMed]

J. F. Dynes, Z. L. Yuan, A. W. Sharpe, and A. J. Shields, “A high speed, postprocessing free, quantum random number generator,” Appl. Phys. Lett. 93, 031109 (2008).
[Crossref]

M. Varnava, D. E. Browne, and T. Rudolph, “How good must single photon sources and detectors be for efficient linear optical quantum computation?” Phys. Rev. Lett. 100, 060502 (2008).
[Crossref] [PubMed]

A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, and J. L. O’Brien, “Silica-on-silicon waveguide quantum circuits,” Science 320, 646–649 (2008).
[Crossref] [PubMed]

2006 (1)

M. Galli, D. Gerace, A. Politi, M. Liscidini, M. Patrini, L. C. Andreani, A. Canino, M. Miritello, R. L. Savio, A. Irrera, and F. Priolo, “Direct evidence of light confinement and emission enhancement in active silicon-on-insulator slot waveguides,” Appl. Phys. Lett. 89, 241114 (2006).
[Crossref]

2005 (2)

L.-P. Lamoureux, E. Brainis, D. Amans, J. Barrett, and S. Massar, “Provably secure experimental quantum bit-string generation,” Phys. Rev. Lett. 94, 050503 (2005).
[Crossref] [PubMed]

L.-P. Lamoureux, E. Brainis, N. J. Cerf, P. Emplit, M. Haelterman, and S. Massar, “Experimental error filtration for quantum communication over highly noisy channels,” Phys. Rev. Lett. 94, 230501 (2005).
[Crossref] [PubMed]

2004 (2)

X. Brokmann, G. Messin, P. Desbiolles, E. Giacobino, M. Dahan, and J. P. Hermier, “Colloidal CdSe/ZnS quantum dots as single-photon sources,” New J. Phys. 6, 99 (2004).
[Crossref]

Q. Xu, V. R. Almeida, R. R. Panepucci, and M. Lipson, “Experimental demonstration of guiding and confining light in nanometer-sizelow-refractive-index material,” Opt. Lett. 29, 1626–1628 (2004).
[Crossref] [PubMed]

2003 (1)

E. Brainis, L.-P. Lamoureux, N. J. Cerf, P. Emplit, M. Haelterman, and S. Massar, “Fiber-optics implementation of the Deutsch-Jozsa and Bernstein-Vazirani quantum algorithms with three qubits,” Phys. Rev. Lett. 90, 157902 (2003).
[Crossref] [PubMed]

2002 (1)

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys. 74, 145–195 (2002).
[Crossref]

2001 (2)

E. Knill, R. Laflamme, and G. J. Milburn, “A scheme for efficient quantum computation with linear optics,” Nature 409, 46–52 (2001).
[Crossref] [PubMed]

A. Beveratos, R. Brouri, T. Gacoin, J.-P. Poizat, and P. Grangier, “Nonclassical radiation from diamond nanocrystals,” Phys. Rev. B 64, 061802 (2001).
[Crossref]

2000 (1)

S. Takeuchi, “Experimental demonstration of a three-qubit quantum computation algorithm using a single photon and linear optics,” Phys. Rev. B 62, 032301 (2000).
[Crossref]

1999 (1)

1992 (1)

C. H. Bennett, F. Bessette, G. Brassard, L. Salvail, and J. Smolin, “Experimental quantum cryptography,” J. Cryptology 5, 3–28 (1992).
[Crossref]

Akopian, N.

M. E. Reimer, G. Bulgarini, N. Akopian, M. Hocevar, M. B. Bavinck, M. A. Verheijen, E.P.A.M. Bakkers, L. P. Kouwenhoven, and V. Zwiller, “Bright single-photon sources in bottom-up tailored nanowires,” Nat. Commun. 3, 737 (2012).
[Crossref] [PubMed]

Almeida, V. R.

Amans, D.

L.-P. Lamoureux, E. Brainis, D. Amans, J. Barrett, and S. Massar, “Provably secure experimental quantum bit-string generation,” Phys. Rev. Lett. 94, 050503 (2005).
[Crossref] [PubMed]

Andreani, L. C.

M. Galli, D. Gerace, A. Politi, M. Liscidini, M. Patrini, L. C. Andreani, A. Canino, M. Miritello, R. L. Savio, A. Irrera, and F. Priolo, “Direct evidence of light confinement and emission enhancement in active silicon-on-insulator slot waveguides,” Appl. Phys. Lett. 89, 241114 (2006).
[Crossref]

Atwater, H. A.

Bakkers, E.P.A.M.

M. E. Reimer, G. Bulgarini, N. Akopian, M. Hocevar, M. B. Bavinck, M. A. Verheijen, E.P.A.M. Bakkers, L. P. Kouwenhoven, and V. Zwiller, “Bright single-photon sources in bottom-up tailored nanowires,” Nat. Commun. 3, 737 (2012).
[Crossref] [PubMed]

Barbieri, M.

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, “Boson sampling on a photonic chip,” Science 339, 798–801 (2013).
[Crossref]

Barrett, J.

L.-P. Lamoureux, E. Brainis, D. Amans, J. Barrett, and S. Massar, “Provably secure experimental quantum bit-string generation,” Phys. Rev. Lett. 94, 050503 (2005).
[Crossref] [PubMed]

Bavinck, M. B.

M. E. Reimer, G. Bulgarini, N. Akopian, M. Hocevar, M. B. Bavinck, M. A. Verheijen, E.P.A.M. Bakkers, L. P. Kouwenhoven, and V. Zwiller, “Bright single-photon sources in bottom-up tailored nanowires,” Nat. Commun. 3, 737 (2012).
[Crossref] [PubMed]

Bazin, M.

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gerard, “A highly efficient single-photon source based on a quantum dot in a photonic nanowire,” Nat. Photonics 4, 174–177 (2010).

Bechmann-Pasquinucci, H.

V. Scarani, H. Bechmann-Pasquinucci, N. J. Cerf, M. Dušek, N. Lütkenhaus, and M. Peev, “The security of practical quantum key distribution,” Rev. Mod. Phys. 81, 1301–1350 (2009).
[Crossref]

Bennett, C. H.

C. H. Bennett, F. Bessette, G. Brassard, L. Salvail, and J. Smolin, “Experimental quantum cryptography,” J. Cryptology 5, 3–28 (1992).
[Crossref]

Bentivegna, M.

N. Spagnolo, C. Vitelli, M. Bentivegna, D. J. Brod, A. Crespi, F. Flamini, S. Giacomini, G. Milani, R. Ramponi, P. Mataloni, R. Osellame, E. F. Galvão, and F. Sciarrino, “Experimental validation of photonic boson sampling,” Nat. Photonics 8, 615–620 (2014).
[Crossref]

Bessette, F.

C. H. Bennett, F. Bessette, G. Brassard, L. Salvail, and J. Smolin, “Experimental quantum cryptography,” J. Cryptology 5, 3–28 (1992).
[Crossref]

Beveratos, A.

A. Beveratos, R. Brouri, T. Gacoin, J.-P. Poizat, and P. Grangier, “Nonclassical radiation from diamond nanocrystals,” Phys. Rev. B 64, 061802 (2001).
[Crossref]

Bleuse, J.

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gerard, “A highly efficient single-photon source based on a quantum dot in a photonic nanowire,” Nat. Photonics 4, 174–177 (2010).

Brainis, E.

B. De Geyter, K. Komorowska, E. Brainis, P. Emplit, P. Geiregat, A. Hassinen, Z. Hens, and D. Van Thourhout, “From fabrication to mode mapping in silicon nitride microdisks with embedded colloidal quantum dots,” Appl. Phys. Lett. 101, 161101 (2012).
[Crossref]

L.-P. Lamoureux, E. Brainis, D. Amans, J. Barrett, and S. Massar, “Provably secure experimental quantum bit-string generation,” Phys. Rev. Lett. 94, 050503 (2005).
[Crossref] [PubMed]

L.-P. Lamoureux, E. Brainis, N. J. Cerf, P. Emplit, M. Haelterman, and S. Massar, “Experimental error filtration for quantum communication over highly noisy channels,” Phys. Rev. Lett. 94, 230501 (2005).
[Crossref] [PubMed]

E. Brainis, L.-P. Lamoureux, N. J. Cerf, P. Emplit, M. Haelterman, and S. Massar, “Fiber-optics implementation of the Deutsch-Jozsa and Bernstein-Vazirani quantum algorithms with three qubits,” Phys. Rev. Lett. 90, 157902 (2003).
[Crossref] [PubMed]

Bramati, A.

F. Pisanello, L. Martiradonna, G. Leménager, P. Spinicelli, A. Fiore, L. Manna, J.-P. Hermier, R. Cingolani, E. Giacobino, M. De Vittorio, and A. Bramati, “Room temperature-dipolelike single photon source with a colloidal dot-in-rod,” Appl. Phys. Lett. 96, 033101 (2010).
[Crossref]

Brassard, G.

C. H. Bennett, F. Bessette, G. Brassard, L. Salvail, and J. Smolin, “Experimental quantum cryptography,” J. Cryptology 5, 3–28 (1992).
[Crossref]

Braun, T.

M. Rau, T. Heindel, S. Unsleber, T. Braun, J. Fischer, S. Frick, S. Nauerth, C. Schneider, G. Vest, S. Reitzenstein, M. Kamp, A. Forchel, S. Höfling, and H. Weinfurter, “Free space quantum key distribution over 500 meters using electrically driven quantum dot single-photon sources: a proof of principle experiment,” New J. Phys. 16, 043003 (2014).
[Crossref]

Briggs, R. M.

Brod, D. J.

N. Spagnolo, C. Vitelli, M. Bentivegna, D. J. Brod, A. Crespi, F. Flamini, S. Giacomini, G. Milani, R. Ramponi, P. Mataloni, R. Osellame, E. F. Galvão, and F. Sciarrino, “Experimental validation of photonic boson sampling,” Nat. Photonics 8, 615–620 (2014).
[Crossref]

A. Crespi, R. Osellame, R. Ramponi, D. J. Brod, E. F. Galvão, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7, 545–549 (2013).
[Crossref]

Brokmann, X.

X. Brokmann, G. Messin, P. Desbiolles, E. Giacobino, M. Dahan, and J. P. Hermier, “Colloidal CdSe/ZnS quantum dots as single-photon sources,” New J. Phys. 6, 99 (2004).
[Crossref]

Brongersma, M. L.

Brouri, R.

A. Beveratos, R. Brouri, T. Gacoin, J.-P. Poizat, and P. Grangier, “Nonclassical radiation from diamond nanocrystals,” Phys. Rev. B 64, 061802 (2001).
[Crossref]

Browne, D. E.

M. Varnava, D. E. Browne, and T. Rudolph, “How good must single photon sources and detectors be for efficient linear optical quantum computation?” Phys. Rev. Lett. 100, 060502 (2008).
[Crossref] [PubMed]

Buil, S.

B. Mahler, P. Spinicelli, S. Buil, X. Quelin, J.-P. Hermier, and B. Dubertret, “Towards non-blinking colloidal quantum dots,” Nat. Mater. 7, 659–664 (2008).
[Crossref] [PubMed]

Bulgarini, G.

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N. Spagnolo, C. Vitelli, M. Bentivegna, D. J. Brod, A. Crespi, F. Flamini, S. Giacomini, G. Milani, R. Ramponi, P. Mataloni, R. Osellame, E. F. Galvão, and F. Sciarrino, “Experimental validation of photonic boson sampling,” Nat. Photonics 8, 615–620 (2014).
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B. De Geyter, K. Komorowska, E. Brainis, P. Emplit, P. Geiregat, A. Hassinen, Z. Hens, and D. Van Thourhout, “From fabrication to mode mapping in silicon nitride microdisks with embedded colloidal quantum dots,” Appl. Phys. Lett. 101, 161101 (2012).
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F. Pisanello, L. Martiradonna, G. Leménager, P. Spinicelli, A. Fiore, L. Manna, J.-P. Hermier, R. Cingolani, E. Giacobino, M. De Vittorio, and A. Bramati, “Room temperature-dipolelike single photon source with a colloidal dot-in-rod,” Appl. Phys. Lett. 96, 033101 (2010).
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F. Pisanello, L. Martiradonna, G. Leménager, P. Spinicelli, A. Fiore, L. Manna, J.-P. Hermier, R. Cingolani, E. Giacobino, M. De Vittorio, and A. Bramati, “Room temperature-dipolelike single photon source with a colloidal dot-in-rod,” Appl. Phys. Lett. 96, 033101 (2010).
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M. Rau, T. Heindel, S. Unsleber, T. Braun, J. Fischer, S. Frick, S. Nauerth, C. Schneider, G. Vest, S. Reitzenstein, M. Kamp, A. Forchel, S. Höfling, and H. Weinfurter, “Free space quantum key distribution over 500 meters using electrically driven quantum dot single-photon sources: a proof of principle experiment,” New J. Phys. 16, 043003 (2014).
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N. Spagnolo, C. Vitelli, M. Bentivegna, D. J. Brod, A. Crespi, F. Flamini, S. Giacomini, G. Milani, R. Ramponi, P. Mataloni, R. Osellame, E. F. Galvão, and F. Sciarrino, “Experimental validation of photonic boson sampling,” Nat. Photonics 8, 615–620 (2014).
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A. Crespi, R. Osellame, R. Ramponi, D. J. Brod, E. F. Galvão, N. Spagnolo, C. Vitelli, E. Maiorino, P. Mataloni, and F. Sciarrino, “Integrated multimode interferometers with arbitrary designs for photonic boson sampling,” Nat. Photonics 7, 545–549 (2013).
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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, “Boson sampling on a photonic chip,” Science 339, 798–801 (2013).
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Geiregat, P.

B. De Geyter, K. Komorowska, E. Brainis, P. Emplit, P. Geiregat, A. Hassinen, Z. Hens, and D. Van Thourhout, “From fabrication to mode mapping in silicon nitride microdisks with embedded colloidal quantum dots,” Appl. Phys. Lett. 101, 161101 (2012).
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M. Galli, D. Gerace, A. Politi, M. Liscidini, M. Patrini, L. C. Andreani, A. Canino, M. Miritello, R. L. Savio, A. Irrera, and F. Priolo, “Direct evidence of light confinement and emission enhancement in active silicon-on-insulator slot waveguides,” Appl. Phys. Lett. 89, 241114 (2006).
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J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gerard, “A highly efficient single-photon source based on a quantum dot in a photonic nanowire,” Nat. Photonics 4, 174–177 (2010).

Gérard, J.-M.

Giacobino, E.

F. Pisanello, L. Martiradonna, G. Leménager, P. Spinicelli, A. Fiore, L. Manna, J.-P. Hermier, R. Cingolani, E. Giacobino, M. De Vittorio, and A. Bramati, “Room temperature-dipolelike single photon source with a colloidal dot-in-rod,” Appl. Phys. Lett. 96, 033101 (2010).
[Crossref]

X. Brokmann, G. Messin, P. Desbiolles, E. Giacobino, M. Dahan, and J. P. Hermier, “Colloidal CdSe/ZnS quantum dots as single-photon sources,” New J. Phys. 6, 99 (2004).
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N. Spagnolo, C. Vitelli, M. Bentivegna, D. J. Brod, A. Crespi, F. Flamini, S. Giacomini, G. Milani, R. Ramponi, P. Mataloni, R. Osellame, E. F. Galvão, and F. Sciarrino, “Experimental validation of photonic boson sampling,” Nat. Photonics 8, 615–620 (2014).
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J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gerard, “A highly efficient single-photon source based on a quantum dot in a photonic nanowire,” Nat. Photonics 4, 174–177 (2010).

N. Gregersen, T. R. Nielsen, J. Mørk, J. Claudon, and J.-M. Gérard, “Designs for high-efficiency electrically pumped photonic nanowire single-photon sources,” Opt. Express 18, 21204–21218 (2010).
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L.-P. Lamoureux, E. Brainis, N. J. Cerf, P. Emplit, M. Haelterman, and S. Massar, “Experimental error filtration for quantum communication over highly noisy channels,” Phys. Rev. Lett. 94, 230501 (2005).
[Crossref] [PubMed]

E. Brainis, L.-P. Lamoureux, N. J. Cerf, P. Emplit, M. Haelterman, and S. Massar, “Fiber-optics implementation of the Deutsch-Jozsa and Bernstein-Vazirani quantum algorithms with three qubits,” Phys. Rev. Lett. 90, 157902 (2003).
[Crossref] [PubMed]

Hassinen, A.

B. De Geyter, K. Komorowska, E. Brainis, P. Emplit, P. Geiregat, A. Hassinen, Z. Hens, and D. Van Thourhout, “From fabrication to mode mapping in silicon nitride microdisks with embedded colloidal quantum dots,” Appl. Phys. Lett. 101, 161101 (2012).
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M. Rau, T. Heindel, S. Unsleber, T. Braun, J. Fischer, S. Frick, S. Nauerth, C. Schneider, G. Vest, S. Reitzenstein, M. Kamp, A. Forchel, S. Höfling, and H. Weinfurter, “Free space quantum key distribution over 500 meters using electrically driven quantum dot single-photon sources: a proof of principle experiment,” New J. Phys. 16, 043003 (2014).
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R. Kolesov, K. Xia, R. Reuter, R. Stöhr, A. Zappe, J. Meijer, P. R. Hemmer, and J. Wrachtrup, “Optical detection of a single rare-earth ion in a crystal,” Nat. Commun. 3, 1029 (2012).
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B. De Geyter, K. Komorowska, E. Brainis, P. Emplit, P. Geiregat, A. Hassinen, Z. Hens, and D. Van Thourhout, “From fabrication to mode mapping in silicon nitride microdisks with embedded colloidal quantum dots,” Appl. Phys. Lett. 101, 161101 (2012).
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X. Brokmann, G. Messin, P. Desbiolles, E. Giacobino, M. Dahan, and J. P. Hermier, “Colloidal CdSe/ZnS quantum dots as single-photon sources,” New J. Phys. 6, 99 (2004).
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F. Pisanello, L. Martiradonna, G. Leménager, P. Spinicelli, A. Fiore, L. Manna, J.-P. Hermier, R. Cingolani, E. Giacobino, M. De Vittorio, and A. Bramati, “Room temperature-dipolelike single photon source with a colloidal dot-in-rod,” Appl. Phys. Lett. 96, 033101 (2010).
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B. Mahler, P. Spinicelli, S. Buil, X. Quelin, J.-P. Hermier, and B. Dubertret, “Towards non-blinking colloidal quantum dots,” Nat. Mater. 7, 659–664 (2008).
[Crossref] [PubMed]

Hocevar, M.

M. E. Reimer, G. Bulgarini, N. Akopian, M. Hocevar, M. B. Bavinck, M. A. Verheijen, E.P.A.M. Bakkers, L. P. Kouwenhoven, and V. Zwiller, “Bright single-photon sources in bottom-up tailored nanowires,” Nat. Commun. 3, 737 (2012).
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Höfling, S.

M. Rau, T. Heindel, S. Unsleber, T. Braun, J. Fischer, S. Frick, S. Nauerth, C. Schneider, G. Vest, S. Reitzenstein, M. Kamp, A. Forchel, S. Höfling, and H. Weinfurter, “Free space quantum key distribution over 500 meters using electrically driven quantum dot single-photon sources: a proof of principle experiment,” New J. Phys. 16, 043003 (2014).
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Hollingsworth, J. A.

Y. Chen, J. Vela, H. Htoon, J. L. Casson, D. J. Werder, D. A. Bussian, V. I. Klimov, and J. A. Hollingsworth, “”giant” multishell CdSe nanocrystal quantum dots with suppressed blinking,” J. Am. Chem. Soc. 130, 5026–5027 (2008).
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Y. Chen, J. Vela, H. Htoon, J. L. Casson, D. J. Werder, D. A. Bussian, V. I. Klimov, and J. A. Hollingsworth, “”giant” multishell CdSe nanocrystal quantum dots with suppressed blinking,” J. Am. Chem. Soc. 130, 5026–5027 (2008).
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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, “Boson sampling on a photonic chip,” Science 339, 798–801 (2013).
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Irrera, A.

M. Galli, D. Gerace, A. Politi, M. Liscidini, M. Patrini, L. C. Andreani, A. Canino, M. Miritello, R. L. Savio, A. Irrera, and F. Priolo, “Direct evidence of light confinement and emission enhancement in active silicon-on-insulator slot waveguides,” Appl. Phys. Lett. 89, 241114 (2006).
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Jaffrennou, P.

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gerard, “A highly efficient single-photon source based on a quantum dot in a photonic nanowire,” Nat. Photonics 4, 174–177 (2010).

Jelezko, F.

T. D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe, and J. L. O’Brien, “Quantum computers,” Nature 464, 45–53 (2010).
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Jin, X.-M.

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, “Boson sampling on a photonic chip,” Science 339, 798–801 (2013).
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Kamp, M.

M. Rau, T. Heindel, S. Unsleber, T. Braun, J. Fischer, S. Frick, S. Nauerth, C. Schneider, G. Vest, S. Reitzenstein, M. Kamp, A. Forchel, S. Höfling, and H. Weinfurter, “Free space quantum key distribution over 500 meters using electrically driven quantum dot single-photon sources: a proof of principle experiment,” New J. Phys. 16, 043003 (2014).
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Klimov, V. I.

Y. Chen, J. Vela, H. Htoon, J. L. Casson, D. J. Werder, D. A. Bussian, V. I. Klimov, and J. A. Hollingsworth, “”giant” multishell CdSe nanocrystal quantum dots with suppressed blinking,” J. Am. Chem. Soc. 130, 5026–5027 (2008).
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Knill, E.

E. Knill, R. Laflamme, and G. J. Milburn, “A scheme for efficient quantum computation with linear optics,” Nature 409, 46–52 (2001).
[Crossref] [PubMed]

Kolesov, R.

R. Kolesov, K. Xia, R. Reuter, R. Stöhr, A. Zappe, J. Meijer, P. R. Hemmer, and J. Wrachtrup, “Optical detection of a single rare-earth ion in a crystal,” Nat. Commun. 3, 1029 (2012).
[Crossref] [PubMed]

Kolthammer, W.S.

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, “Boson sampling on a photonic chip,” Science 339, 798–801 (2013).
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Komorowska, K.

B. De Geyter, K. Komorowska, E. Brainis, P. Emplit, P. Geiregat, A. Hassinen, Z. Hens, and D. Van Thourhout, “From fabrication to mode mapping in silicon nitride microdisks with embedded colloidal quantum dots,” Appl. Phys. Lett. 101, 161101 (2012).
[Crossref]

Kouwenhoven, L. P.

M. E. Reimer, G. Bulgarini, N. Akopian, M. Hocevar, M. B. Bavinck, M. A. Verheijen, E.P.A.M. Bakkers, L. P. Kouwenhoven, and V. Zwiller, “Bright single-photon sources in bottom-up tailored nanowires,” Nat. Commun. 3, 737 (2012).
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Kundys, D.

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, “Boson sampling on a photonic chip,” Science 339, 798–801 (2013).
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T. D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe, and J. L. O’Brien, “Quantum computers,” Nature 464, 45–53 (2010).
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Laflamme, R.

T. D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe, and J. L. O’Brien, “Quantum computers,” Nature 464, 45–53 (2010).
[Crossref] [PubMed]

E. Knill, R. Laflamme, and G. J. Milburn, “A scheme for efficient quantum computation with linear optics,” Nature 409, 46–52 (2001).
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Lalanne, P.

J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gerard, “A highly efficient single-photon source based on a quantum dot in a photonic nanowire,” Nat. Photonics 4, 174–177 (2010).

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L.-P. Lamoureux, E. Brainis, D. Amans, J. Barrett, and S. Massar, “Provably secure experimental quantum bit-string generation,” Phys. Rev. Lett. 94, 050503 (2005).
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L.-P. Lamoureux, E. Brainis, N. J. Cerf, P. Emplit, M. Haelterman, and S. Massar, “Experimental error filtration for quantum communication over highly noisy channels,” Phys. Rev. Lett. 94, 230501 (2005).
[Crossref] [PubMed]

E. Brainis, L.-P. Lamoureux, N. J. Cerf, P. Emplit, M. Haelterman, and S. Massar, “Fiber-optics implementation of the Deutsch-Jozsa and Bernstein-Vazirani quantum algorithms with three qubits,” Phys. Rev. Lett. 90, 157902 (2003).
[Crossref] [PubMed]

Langford, N.K.

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, “Boson sampling on a photonic chip,” Science 339, 798–801 (2013).
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Leménager, G.

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Figures (8)

Fig. 1
Fig. 1 Layout of the simulated structures. (a) Silicon nitride (SiNx) strip waveguide on top of silicon oxide (SiOx) substrate. (b) suspended SiNx strip waveguide. (c) SiNx slot waveguide on top of SiOx substrate with SiOx slot. (d) suspended SiNx slot waveguide with SiOx slot. The dipole is located at the center of the waveguide (red dot).
Fig. 2
Fig. 2 Strip SiNx waveguide on substrate: a) fraction of light radiated by a y-oscillating dipole (fy, dashed line) and by a z-oscillating dipole (fz, plain line) that is coupled to the guided modes as a function of the waveguide width W for three different waveguide heights H = 200 nm (red), 220 nm (blue), and 300 nm (black). b) Mode profiles of the two guided modes for a waveguide with H = 220 nm and W = 350 nm. Top: fundamental TE mode. Bottom: fundamental TM mode.
Fig. 3
Fig. 3 Strip SiNx waveguide on substrate: a) Total coupling factor β to the guided modes as a function of the waveguide width W for three different waveguide heights H = 200 nm (red), 220 nm (blue), and 300 nm (black). b) Polarization dependent coupling factors βy (dashed line) and βz (plain line) as a function of the waveguide width W for three different waveguide heights H = 200 nm (red), 220 nm (blue), and 300 nm (black).
Fig. 4
Fig. 4 Suspended SiNx waveguide: a) Partial Purcell factor Fy (dashed line), and Fz (plain line) as a function of the waveguide width W for two waveguide heights: H = 100 nm (red line) and H = 220 nm (blue line). Mode profiles of guided fundamental TE and TM modes for a waveguide with dimensions: b) H = 220 nm and W = 350 nm, c) H = 100 nm and W = 350 nm.
Fig. 5
Fig. 5 Suspended SiNx waveguide: a) Total coupling factor β to the guided modes as a function of the waveguide width W for two different waveguide heights H = 100 nm (red) and 220 nm (blue). b) Polarization dependent coupling factors βy (dashed line) and βz (plain line) as a function of the waveguide width W for two different waveguide heights H = 100 nm (red) and 220 nm (blue).
Fig. 6
Fig. 6 SiN Slot waveguide on substrate: a) Total coupling factor β to the guided modes as a function of the waveguide width W for three different waveguide heights H = 220 nm (red), 300 nm (blue) and 500 nm (black). b) Polarization dependent coupling factors βy (dashed line) and βz (plain line) for the same waveguide dimensions as in a. The slot height is Hg = 20 nm. c) mode profiles of the two guided modes for a waveguide with H = 220 nm and W = 350 nm. Top: fundamental TE mode. Bottom: fundamental TM mode.
Fig. 7
Fig. 7 Suspended SiNx slot-waveguide: a) Partial Purcell factor Fy (dashed line), and Fz (plain line) as a function of the waveguide width W for two waveguide heights: H=300nm (red line) and H=500nm (blue line).b) Mode profiles of guided fundamental TE and TM modes for a waveguide with dimensions: b) H = 220 nm and W = 350 nm, c) H = 300 nm and W = 130 nm.
Fig. 8
Fig. 8 Suspended SiNx slot-waveguide: a) Total coupling factor β to the guided modes as a function of the waveguide width W for two different waveguide heights H = 300 nm (red) and 500 nm (blue). b) Polarization dependent coupling factors βy (dashed line) and βz (plain line) as a function of the waveguide width W for two different waveguide heights H = 300 nm (red) and 500 nm (blue).

Equations (5)

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Γ = 2 π 2 σ | d E σ ( r e ) | 2 ρ σ ( ω )
F = Γ 0 Γ 0
p i = Γ i Γ = F i F
β = i p i f i = 1 Γ i Γ i g
β i = p i f i = Γ i g Γ

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