Abstract

An alternative scheme is proposed for the generation of an N-qubit Greenberger-Horne-Zeilinger (GHZ) state with distant nitrogen-vacancy (N-V) centers confined in spatially separated photonic crystal (PC) nanocavities via input-output process of photon. The GHZ state is produced by the phase shift brought by the input-output photon. The certain polarized photon transmitted from a PC nanocavity side-coupled a waveguide can obtain different phase shifts due to the different spin states in diamond N-V centers and the optical spin selection rule. Our calculations show that the proposed scheme can work well with a large cavity damping rate which ensures the efficient output of photon.

© 2012 OSA

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2011 (7)

A. Huck, S. Kumar, A. Shakoor, and U. L. Andersen, “Controlled coupling of a single nitrogen-vacancy center to a silver nanowire,” Phys. Rev. Lett. 106, 096801 (2011).
[Crossref] [PubMed]

T. van der Sar, J. Hagemeier, W. Pfaff, E. C. Heeres, S. M. Thon, H. Kim, P. M. Petroff, T. H. Oosterkamp, D. Bouwmeester, and R. Hanson, “Deterministic nanoassembly of a coupled quantum emitter-photonic crystal cavity system,” Appl. Phys. Lett. 98, 193103 (2011).
[Crossref]

Y. Eto, A. Noguchi, P. Zhang, M. Ueda, and M. Kozuma, “Projective measurement of a single nuclear spin qubit by using two-mode cavity QED,” Phys. Rev. Lett. 106, 160501 (2011).
[Crossref] [PubMed]

J. H. Li and R. Yu, “Single-plasmon scattering grating using nanowire surface plasmon coupled to nanodiamond nitrogen-vacancy center,” Opt. Express 19, 20991–21002 (2011).
[Crossref] [PubMed]

Q. Chen, W. L. Yang, M. Feng, and J. F. Du, “Entangling separate nitrogen-vacancy centers in a scalable fashion via coupling to microtoroidal resonators,” Phys. Rev. A 83, 054305 (2011).
[Crossref]

Y. Huo, S. Sandhu, J. Pan, N. Stuhrmann, M. L. Povinelli, J. M. Kahn, J. S. Harris, M. M. Fejer, and S. Fan, “Experimental demonstration of two methods for controlling the group delay in a system with photonic-crystal resonators coupled to a waveguide,” Opt. Lett. 36, 1482–1484 (2011).
[Crossref] [PubMed]

R. Bose, D. Sridharan, G. Solomon, and E. Waks, “Observation of strong coupling through transmission modification of a cavity-coupled photonic crystal waveguide,” Opt. Express 19, 5398–5409 (2011).
[Crossref] [PubMed]

2010 (8)

J. Pan, S. Sandhu, Y. Huo, M. Povinelli, J. S. Harris, M. M. Fejer, and S. Fan, “Experimental demonstration of an all-optical analogue to the superradiance effect in an on-chip photonic crystal resonator system,” Phys. Rev. B 81, 041101 (2010).
[Crossref]

J. Pan, Y. Huo, S. Sandhu, N. Stuhrmann, M. L. Povinelli, J. S. Harris, M. M. Fejer, and S. Fan, “Tuning the coherent interaction in an on-chip photonic-crystal waveguide-resonator system,” Appl. Phys. Lett. 97, 101102 (2010).
[Crossref]

D. Englund, B. Shields, K. Rivoire, F. Hatami, J. Vučković, H. Park, and M. D. Lukin, “Deterministic coupling of a single nitrogen vacancy center to a photonic crystal cavity,” Nano Lett. 10, 3922–3926 (2010).
[Crossref] [PubMed]

J. Wolters, A. W. Schell, G. Kewes, N. Nüsse, M. Schoengen, H. Döscher, T. Hannappel, B. Löchel, M. Barth, and O. Benson, “Enhancement of the zero phonon line emission from a single nitrogen vacancy center in a nanodiamond via coupling to a photonic crystal cavity,” Appl. Phys. Lett. 97, 141108 (2010).
[Crossref]

F. Z. Fan, X. Rong, N. Y. Xu, Y. Wang, J. Wu, B. Chong, X. Peng, J. Kniepert, R. Schoenfeld, W. Harneit, M. Feng, and J. F. Du, “Room-temperature implementation of the Deutsch-Jozsa algorithm with a single electronic spin in diamond,” Phys. Rev. Lett. 105, 040504 (2010).
[Crossref]

K. Koshino, S. Ishizaka, and Y. Nakamura, “Deterministic photon-photon SWAP gate using a Λ system,” Phys. Rev. A 82, 010301(R) (2010).
[Crossref]

E. Togan, Y. Chu, A. S. Trifonov, L. Jiang, J. Maze, L. Childress, M. V. G. Dutt, A. S. Sørensen, P. R. Hemmer, A. S. Zibrov, and M. D. Lukin, “Quantum entanglement between an optical photon and a solid-state spin qubit,” Nature (London) 466, 730–734 (2010).
[Crossref]

X. Wang, A. Bayat, S. Bose, and S. G. Schirmer, “Global control methods for Greenberger-Horne-Zeilinger-state generation on a one-dimensional Ising chain,” Phys. Rev. A 82, 012330 (2010).
[Crossref]

2009 (8)

X. Y. Lü, L. G. Si, X. Y. Hao, and X. X. Yang, “Achieving multipartite entanglement of distant atoms through selective photon emission and absorption processes,” Phys. Rev. A 79, 052330 (2009).
[Crossref]

X. Y. Lü, P. J. Song, J. B. Liu, and X. X. Yang, “N-qubit W state of spatially separated single molecule magnets,” Opt. Express 17, 14298–14311 (2009).
[Crossref] [PubMed]

M. Larsson, K. N. Dinyari, and H. Wang, “Composite optical microcavity of diamond nanopillar and silica microsphere,” Nano Lett. 9, 1447–1450 (2009).
[Crossref] [PubMed]

S. B. Zheng, “Generation of Greenberger-Horne-Zeilinger states for multiple atoms trapped in separated cavities,” Eur. Phys. J. D 54, 719–722 (2009).
[Crossref]

M. Barth, N. Nüsse, B. Löchel, and O. Benson, “Controlled coupling of a single-diamond nanocrystal to a photonic crystal cavity,” Opt. Lett. 34, 1108–1110 (2009).
[Crossref] [PubMed]

P. Neumann, R. Kolesov, V. Jacques, J. Beck, J. Tisler, A. Batalov, L. Rogers, N. B. Manson, G. Balasubramanian, F. Jelezko, and J. Wrachtrup, “Excited-state spectroscopy of single NV defects in diamond using optically detected magnetic resonance,” New J. Phys. 11, 013017 (2009).
[Crossref]

J. H. An, M. Feng, and C. H. Oh, “Quantum-information processing with a single photon by an input-output process with respect to low- Q cavities,” Phys. Rev. A 79, 032303 (2009).
[Crossref]

P. E. Barclay, K. M. Fu, C. Santori, and R. G. Beausoleil, “Hybrid photonic crystal cavity and waveguide for coupling to diamond NV-centers,” Opt. Express 17, 9588–9601 (2009).
[Crossref] [PubMed]

2008 (4)

B. Dayan, A. S. Parkins, T. Aoki, E. P. Ostby, K. I. Vahala, and H. J. Kimble, “A photon turnstile dynamically regulated by one atom,” Science 319, 1062–1065 (2008).
[Crossref] [PubMed]

M. W. McCutcheon and M. Lončar, “Design of a silicon nitride photonic crystal nanocavity with a quality factor of one million for coupling to a diamond nanocrystal,” Opt. Express 16, 19136–19145 (2008).
[Crossref]

R. Hanson, V. V. Dobrovitski, A. E. Feiguin, O. Gywat, and D. D. Awschalom, “Coherent dynamics of a single spin interacting with an adjustable spin bath,” Science 320, 352–355 (2008).
[Crossref] [PubMed]

Y. Xia, J. Song, and H. S. Song, “Linear optical protocol for preparation of N-photon Greenberger-Horne-Zeilinger state with conventional photon detectors,” Appl. Phys. Lett. 92, 021127 (2008).
[Crossref]

2007 (1)

M. V. Gurudev Dutt, L. Childress, L. Jiang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. R. Hemmer, and M. D. Lukin, “Quantum register based on individual electronic and nuclear spin qubits in diamond,” Science 316, 1312–1316 (2007).
[Crossref]

2006 (6)

T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, “Room-temperature coherent coupling of single spins in diamond,” Nat. Phys. 2, 408–413 (2006).
[Crossref]

Y. S. Park, A. K. Cook, and H. Wang, “Cavity QED with diamond nanocrystals and silica microspheres,” Nano Lett. 6, 2075–2079 (2006).
[Crossref] [PubMed]

G. Khitrova, H. M. Gibbs, M. Kira, S. W. Koch, and A. Scherer, “Vacuum Rabi splitting in semiconductors,” Nat. Phys. 2, 81–90 (2006).
[Crossref]

S. Tomljenovic-Hanic, M. J. Steel, and C. Martijn de Sterke, “Diamond based photonic crystal microcavities,” Opt. Express 14, 3556–3562 (2006).
[Crossref] [PubMed]

C. Santori, D. Fattal, S. M. Spillane, M. Fiorentino, R. G. Beausoleil, A. D. Greentree, P. Olivero, M. Draganski, J. R. Rabeau, P. Reichart, S. Rubanov, D. N. Jamieson, and S. Prawer, “Coherent population trapping in diamond N-V centers at zero magnetic field,” Opt. Express 14, 7986–7994 (2006).
[Crossref] [PubMed]

E. Waks and J. Vuckovic, “Dipole induced transparency in drop-filter cavity-waveguide systems,” Phys. Rev. Lett. 96,153601 (2006).
[Crossref] [PubMed]

2005 (3)

L. M. Duan, B. Wang, and H. J. Kimble, “Robust quantum gates on neutral atoms with cavity-assisted photon scattering,” Phys. Rev. A 72, 032333 (2005).
[Crossref]

B. S. Song, S. Noda, T. Asano, and Y. Akahane, “Ultra-high-Q photonic double-heterostructure nanocavity,” Nat. Mater. 4, 207–210 (2005).
[Crossref]

R. J. Epstein, F. M. Mendoza, Y. K. Kato, and D. D. Awschalom, “Anisotropic interactions of a single spin and dark-spin spectroscopy in diamond,” Nat. Phys. 1, 94–98 (2005).
[Crossref]

2004 (8)

F. Jelezko, T. Gaebel, I. Popa, M. Domhan, A. Gruber, and J. Wrachtrup, “Observation of coherent oscillation of a single nuclear spin and realization of a two-qubit conditional quantum gate,” Phys. Rev. Lett. 93, 130501 (2004).
[Crossref] [PubMed]

C. F. Roos, M. Riebe, H. Haffner, W. Hansel, J. Benhelm, G. P. T. Lancaster, C. Becher, F. Schmidt-Kaler, and R. Blatt, “Control and measurement of three-qubit entangled states,” Science 304, 1478–1480 (2004).
[Crossref] [PubMed]

S. Mancini and S. Bose, “Engineering an interaction and entanglement between distant atoms,” Phys. Rev. A 70, 022307 (2004).
[Crossref]

Y. Wu and L. Deng, “Achieving multifrequency mode entanglement with ultraslow multiwave mixing,” Opt. Lett. 29, 1144–1146 (2004).
[Crossref] [PubMed]

Y. Wu, M. G. Payne, E. W. Hagley, and L. Deng, “Preparation of multiparty entangled states using pairwise perfectly efficient single-probe photon four-wave mixing,” Phys. Rev. A 69, 063803 (2004).
[Crossref]

M. Eibl, N. Kiesel, M. Bourennane, C. Kurtsiefer, and H. Weinfurter, “Experimental realization of a three-qubit entangled W state,” Phys. Rev. Lett. 92, 077901 (2004).
[Crossref] [PubMed]

L. M. Duan and H. J. Kimble, “Scalable photonic quantum computation through cavity-assisted interactions,” Phys. Rev. Lett. 92, 127902 (2004).
[Crossref] [PubMed]

F. Jelezko, T. Gaebel, I. Popa, A. Gruber, and J. Wrachtrup, “Observation of coherent oscillations in a single electron spin,” Phys. Rev. Lett. 92, 076401 (2004).
[Crossref] [PubMed]

2003 (3)

S. H. Kim and Y. H. Lee, “Symmetry relations of two-dimensional photonic crystal cavity modes,” IEEE J. Quantum Electron. 39, 1081–1085 (2003).
[Crossref]

Y. Wu and X. Yang, “Exact eigenstates for a class of models describing two-mode multiphoton processes,” Opt. Lett. 28, 1793–1795 (2003).
[Crossref] [PubMed]

X. B. Zou, K. Pahlke, and W. Mathis, “Conditional generation of the Greenberger-Horne-Zeilinger state of four distant atoms via cavity decay,” Phys. Rev. A 68, 024302 (2003).
[Crossref]

2001 (2)

S. B. Zheng, “One-step synthesis of multiatom Greenberger-Horne-Zeilinger states,” Phys. Rev. Lett. 87, 230404 (2001).
[Crossref] [PubMed]

H. J. Briegel and R. Raussendorf, “Persistent entanglement in arrays of interacting particles,” Phys. Rev. Lett. 86, 910–913 (2001).
[Crossref] [PubMed]

2000 (2)

W. Dür, G. Vidal, and J. I. Cirac, “Three qubits can be entangled in two inequivalent ways,” Phys. Rev. A 62, 062314 (2000).
[Crossref]

J. W. Pan, D. Bouwmeester, M. Daniell, H. Weinfurter, and A. Zeilinger, “Experimental test of quantum nonlocality in three-photon Greenberger-Horne-Zeilinger entanglement,” Nature (London) 403, 515–519 (2000).
[Crossref]

1999 (2)

R. Cleve, D. Gottesman, and H. K. Lo, “How to share a quantum secret,” Phys. Rev. Lett. 83, 648–651 (1999).
[Crossref]

C. Manolatou, M. J. Khan, S. Fan, Pierre R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, “Coupling of modes analysis of resonant channel add-drop filters,” IEEE J. Quantum Electron. 35, 1322–1330 (1999).
[Crossref]

1998 (1)

A. Karlsson and M. Bourennane, “Quantum teleportation using three-particle entanglement,” Phys. Rev. A 58, 4394–4400 (1998).
[Crossref]

1997 (2)

N. Gisin and S. Massar, “Optimal quantum cloning machines,” Phys. Rev. Lett. 79, 2153–2156 (1997).
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T. Pellizzari, “Quantum networking with optical fibres,” Phys. Rev. Lett. 79, 5242–5245 (1997).
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1996 (1)

J. J. Bollinger, W. M. Itano, D. Wineland, and D. Heinzen, “Optimal frequency measurements with maximally correlated states,” Phys. Rev. A 54, 4649–4652(R) (1996).
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1995 (1)

A. Lenef and S. C. Rand, “Electronic structure of the N-V center in diamond: theory,” Phys. Rev. B 53, 13441–13455 (1995).
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1990 (2)

D. M. Greenberger, M. A. Horne, A. Shimony, and A. Zeilinger, “Bell’s theorem without inequalities,” Am. J. Phys. 58, 1131–1143 (1990).
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N. D. Mermin, “Extreme quantum entanglement in a superposition of macroscopically distinct states,” Phys. Rev. Lett. 65, 1838–1840 (1990).
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1988 (1)

E. van Oort, N. B. Manson, and M. Glasbeek, “Optically detected spin coherence of the diamond NV centre in its triplet ground state,” J. Phys. C 21, 4385–4391 (1988).
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1935 (1)

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

B. S. Song, S. Noda, T. Asano, and Y. Akahane, “Ultra-high-Q photonic double-heterostructure nanocavity,” Nat. Mater. 4, 207–210 (2005).
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An, J. H.

J. H. An, M. Feng, and C. H. Oh, “Quantum-information processing with a single photon by an input-output process with respect to low- Q cavities,” Phys. Rev. A 79, 032303 (2009).
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Andersen, U. L.

A. Huck, S. Kumar, A. Shakoor, and U. L. Andersen, “Controlled coupling of a single nitrogen-vacancy center to a silver nanowire,” Phys. Rev. Lett. 106, 096801 (2011).
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Aoki, T.

B. Dayan, A. S. Parkins, T. Aoki, E. P. Ostby, K. I. Vahala, and H. J. Kimble, “A photon turnstile dynamically regulated by one atom,” Science 319, 1062–1065 (2008).
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Asano, T.

B. S. Song, S. Noda, T. Asano, and Y. Akahane, “Ultra-high-Q photonic double-heterostructure nanocavity,” Nat. Mater. 4, 207–210 (2005).
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Awschalom, D. D.

R. Hanson, V. V. Dobrovitski, A. E. Feiguin, O. Gywat, and D. D. Awschalom, “Coherent dynamics of a single spin interacting with an adjustable spin bath,” Science 320, 352–355 (2008).
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R. J. Epstein, F. M. Mendoza, Y. K. Kato, and D. D. Awschalom, “Anisotropic interactions of a single spin and dark-spin spectroscopy in diamond,” Nat. Phys. 1, 94–98 (2005).
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Balasubramanian, G.

P. Neumann, R. Kolesov, V. Jacques, J. Beck, J. Tisler, A. Batalov, L. Rogers, N. B. Manson, G. Balasubramanian, F. Jelezko, and J. Wrachtrup, “Excited-state spectroscopy of single NV defects in diamond using optically detected magnetic resonance,” New J. Phys. 11, 013017 (2009).
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Barclay, P. E.

Barth, M.

J. Wolters, A. W. Schell, G. Kewes, N. Nüsse, M. Schoengen, H. Döscher, T. Hannappel, B. Löchel, M. Barth, and O. Benson, “Enhancement of the zero phonon line emission from a single nitrogen vacancy center in a nanodiamond via coupling to a photonic crystal cavity,” Appl. Phys. Lett. 97, 141108 (2010).
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M. Barth, N. Nüsse, B. Löchel, and O. Benson, “Controlled coupling of a single-diamond nanocrystal to a photonic crystal cavity,” Opt. Lett. 34, 1108–1110 (2009).
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Batalov, A.

P. Neumann, R. Kolesov, V. Jacques, J. Beck, J. Tisler, A. Batalov, L. Rogers, N. B. Manson, G. Balasubramanian, F. Jelezko, and J. Wrachtrup, “Excited-state spectroscopy of single NV defects in diamond using optically detected magnetic resonance,” New J. Phys. 11, 013017 (2009).
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Bayat, A.

X. Wang, A. Bayat, S. Bose, and S. G. Schirmer, “Global control methods for Greenberger-Horne-Zeilinger-state generation on a one-dimensional Ising chain,” Phys. Rev. A 82, 012330 (2010).
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Beausoleil, R. G.

Becher, C.

C. F. Roos, M. Riebe, H. Haffner, W. Hansel, J. Benhelm, G. P. T. Lancaster, C. Becher, F. Schmidt-Kaler, and R. Blatt, “Control and measurement of three-qubit entangled states,” Science 304, 1478–1480 (2004).
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Beck, J.

P. Neumann, R. Kolesov, V. Jacques, J. Beck, J. Tisler, A. Batalov, L. Rogers, N. B. Manson, G. Balasubramanian, F. Jelezko, and J. Wrachtrup, “Excited-state spectroscopy of single NV defects in diamond using optically detected magnetic resonance,” New J. Phys. 11, 013017 (2009).
[Crossref]

Benhelm, J.

C. F. Roos, M. Riebe, H. Haffner, W. Hansel, J. Benhelm, G. P. T. Lancaster, C. Becher, F. Schmidt-Kaler, and R. Blatt, “Control and measurement of three-qubit entangled states,” Science 304, 1478–1480 (2004).
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Benson, O.

J. Wolters, A. W. Schell, G. Kewes, N. Nüsse, M. Schoengen, H. Döscher, T. Hannappel, B. Löchel, M. Barth, and O. Benson, “Enhancement of the zero phonon line emission from a single nitrogen vacancy center in a nanodiamond via coupling to a photonic crystal cavity,” Appl. Phys. Lett. 97, 141108 (2010).
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M. Barth, N. Nüsse, B. Löchel, and O. Benson, “Controlled coupling of a single-diamond nanocrystal to a photonic crystal cavity,” Opt. Lett. 34, 1108–1110 (2009).
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Blatt, R.

C. F. Roos, M. Riebe, H. Haffner, W. Hansel, J. Benhelm, G. P. T. Lancaster, C. Becher, F. Schmidt-Kaler, and R. Blatt, “Control and measurement of three-qubit entangled states,” Science 304, 1478–1480 (2004).
[Crossref] [PubMed]

Bollinger, J. J.

J. J. Bollinger, W. M. Itano, D. Wineland, and D. Heinzen, “Optimal frequency measurements with maximally correlated states,” Phys. Rev. A 54, 4649–4652(R) (1996).
[Crossref]

Bose, R.

Bose, S.

X. Wang, A. Bayat, S. Bose, and S. G. Schirmer, “Global control methods for Greenberger-Horne-Zeilinger-state generation on a one-dimensional Ising chain,” Phys. Rev. A 82, 012330 (2010).
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S. Mancini and S. Bose, “Engineering an interaction and entanglement between distant atoms,” Phys. Rev. A 70, 022307 (2004).
[Crossref]

Bourennane, M.

M. Eibl, N. Kiesel, M. Bourennane, C. Kurtsiefer, and H. Weinfurter, “Experimental realization of a three-qubit entangled W state,” Phys. Rev. Lett. 92, 077901 (2004).
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A. Karlsson and M. Bourennane, “Quantum teleportation using three-particle entanglement,” Phys. Rev. A 58, 4394–4400 (1998).
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Bouwmeester, D.

T. van der Sar, J. Hagemeier, W. Pfaff, E. C. Heeres, S. M. Thon, H. Kim, P. M. Petroff, T. H. Oosterkamp, D. Bouwmeester, and R. Hanson, “Deterministic nanoassembly of a coupled quantum emitter-photonic crystal cavity system,” Appl. Phys. Lett. 98, 193103 (2011).
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J. W. Pan, D. Bouwmeester, M. Daniell, H. Weinfurter, and A. Zeilinger, “Experimental test of quantum nonlocality in three-photon Greenberger-Horne-Zeilinger entanglement,” Nature (London) 403, 515–519 (2000).
[Crossref]

Briegel, H. J.

H. J. Briegel and R. Raussendorf, “Persistent entanglement in arrays of interacting particles,” Phys. Rev. Lett. 86, 910–913 (2001).
[Crossref] [PubMed]

Chen, Q.

Q. Chen, W. L. Yang, M. Feng, and J. F. Du, “Entangling separate nitrogen-vacancy centers in a scalable fashion via coupling to microtoroidal resonators,” Phys. Rev. A 83, 054305 (2011).
[Crossref]

Childress, L.

E. Togan, Y. Chu, A. S. Trifonov, L. Jiang, J. Maze, L. Childress, M. V. G. Dutt, A. S. Sørensen, P. R. Hemmer, A. S. Zibrov, and M. D. Lukin, “Quantum entanglement between an optical photon and a solid-state spin qubit,” Nature (London) 466, 730–734 (2010).
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M. V. Gurudev Dutt, L. Childress, L. Jiang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. R. Hemmer, and M. D. Lukin, “Quantum register based on individual electronic and nuclear spin qubits in diamond,” Science 316, 1312–1316 (2007).
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Chong, B.

F. Z. Fan, X. Rong, N. Y. Xu, Y. Wang, J. Wu, B. Chong, X. Peng, J. Kniepert, R. Schoenfeld, W. Harneit, M. Feng, and J. F. Du, “Room-temperature implementation of the Deutsch-Jozsa algorithm with a single electronic spin in diamond,” Phys. Rev. Lett. 105, 040504 (2010).
[Crossref]

Chu, Y.

E. Togan, Y. Chu, A. S. Trifonov, L. Jiang, J. Maze, L. Childress, M. V. G. Dutt, A. S. Sørensen, P. R. Hemmer, A. S. Zibrov, and M. D. Lukin, “Quantum entanglement between an optical photon and a solid-state spin qubit,” Nature (London) 466, 730–734 (2010).
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Chuang, I. L.

M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, 2000).

Cirac, J. I.

W. Dür, G. Vidal, and J. I. Cirac, “Three qubits can be entangled in two inequivalent ways,” Phys. Rev. A 62, 062314 (2000).
[Crossref]

Cleve, R.

R. Cleve, D. Gottesman, and H. K. Lo, “How to share a quantum secret,” Phys. Rev. Lett. 83, 648–651 (1999).
[Crossref]

Cook, A. K.

Y. S. Park, A. K. Cook, and H. Wang, “Cavity QED with diamond nanocrystals and silica microspheres,” Nano Lett. 6, 2075–2079 (2006).
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Daniell, M.

J. W. Pan, D. Bouwmeester, M. Daniell, H. Weinfurter, and A. Zeilinger, “Experimental test of quantum nonlocality in three-photon Greenberger-Horne-Zeilinger entanglement,” Nature (London) 403, 515–519 (2000).
[Crossref]

Dayan, B.

B. Dayan, A. S. Parkins, T. Aoki, E. P. Ostby, K. I. Vahala, and H. J. Kimble, “A photon turnstile dynamically regulated by one atom,” Science 319, 1062–1065 (2008).
[Crossref] [PubMed]

Deng, L.

Y. Wu and L. Deng, “Achieving multifrequency mode entanglement with ultraslow multiwave mixing,” Opt. Lett. 29, 1144–1146 (2004).
[Crossref] [PubMed]

Y. Wu, M. G. Payne, E. W. Hagley, and L. Deng, “Preparation of multiparty entangled states using pairwise perfectly efficient single-probe photon four-wave mixing,” Phys. Rev. A 69, 063803 (2004).
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Dinyari, K. N.

M. Larsson, K. N. Dinyari, and H. Wang, “Composite optical microcavity of diamond nanopillar and silica microsphere,” Nano Lett. 9, 1447–1450 (2009).
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Dobrovitski, V. V.

R. Hanson, V. V. Dobrovitski, A. E. Feiguin, O. Gywat, and D. D. Awschalom, “Coherent dynamics of a single spin interacting with an adjustable spin bath,” Science 320, 352–355 (2008).
[Crossref] [PubMed]

Domhan, M.

T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, “Room-temperature coherent coupling of single spins in diamond,” Nat. Phys. 2, 408–413 (2006).
[Crossref]

F. Jelezko, T. Gaebel, I. Popa, M. Domhan, A. Gruber, and J. Wrachtrup, “Observation of coherent oscillation of a single nuclear spin and realization of a two-qubit conditional quantum gate,” Phys. Rev. Lett. 93, 130501 (2004).
[Crossref] [PubMed]

Döscher, H.

J. Wolters, A. W. Schell, G. Kewes, N. Nüsse, M. Schoengen, H. Döscher, T. Hannappel, B. Löchel, M. Barth, and O. Benson, “Enhancement of the zero phonon line emission from a single nitrogen vacancy center in a nanodiamond via coupling to a photonic crystal cavity,” Appl. Phys. Lett. 97, 141108 (2010).
[Crossref]

Draganski, M.

Du, J. F.

Q. Chen, W. L. Yang, M. Feng, and J. F. Du, “Entangling separate nitrogen-vacancy centers in a scalable fashion via coupling to microtoroidal resonators,” Phys. Rev. A 83, 054305 (2011).
[Crossref]

F. Z. Fan, X. Rong, N. Y. Xu, Y. Wang, J. Wu, B. Chong, X. Peng, J. Kniepert, R. Schoenfeld, W. Harneit, M. Feng, and J. F. Du, “Room-temperature implementation of the Deutsch-Jozsa algorithm with a single electronic spin in diamond,” Phys. Rev. Lett. 105, 040504 (2010).
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Duan, L. M.

L. M. Duan, B. Wang, and H. J. Kimble, “Robust quantum gates on neutral atoms with cavity-assisted photon scattering,” Phys. Rev. A 72, 032333 (2005).
[Crossref]

L. M. Duan and H. J. Kimble, “Scalable photonic quantum computation through cavity-assisted interactions,” Phys. Rev. Lett. 92, 127902 (2004).
[Crossref] [PubMed]

Dür, W.

W. Dür, G. Vidal, and J. I. Cirac, “Three qubits can be entangled in two inequivalent ways,” Phys. Rev. A 62, 062314 (2000).
[Crossref]

Dutt, M. V. G.

E. Togan, Y. Chu, A. S. Trifonov, L. Jiang, J. Maze, L. Childress, M. V. G. Dutt, A. S. Sørensen, P. R. Hemmer, A. S. Zibrov, and M. D. Lukin, “Quantum entanglement between an optical photon and a solid-state spin qubit,” Nature (London) 466, 730–734 (2010).
[Crossref]

Eibl, M.

M. Eibl, N. Kiesel, M. Bourennane, C. Kurtsiefer, and H. Weinfurter, “Experimental realization of a three-qubit entangled W state,” Phys. Rev. Lett. 92, 077901 (2004).
[Crossref] [PubMed]

Einstein, A.

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

Englund, D.

D. Englund, B. Shields, K. Rivoire, F. Hatami, J. Vučković, H. Park, and M. D. Lukin, “Deterministic coupling of a single nitrogen vacancy center to a photonic crystal cavity,” Nano Lett. 10, 3922–3926 (2010).
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R. J. Epstein, F. M. Mendoza, Y. K. Kato, and D. D. Awschalom, “Anisotropic interactions of a single spin and dark-spin spectroscopy in diamond,” Nat. Phys. 1, 94–98 (2005).
[Crossref]

Eto, Y.

Y. Eto, A. Noguchi, P. Zhang, M. Ueda, and M. Kozuma, “Projective measurement of a single nuclear spin qubit by using two-mode cavity QED,” Phys. Rev. Lett. 106, 160501 (2011).
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Fan, F. Z.

F. Z. Fan, X. Rong, N. Y. Xu, Y. Wang, J. Wu, B. Chong, X. Peng, J. Kniepert, R. Schoenfeld, W. Harneit, M. Feng, and J. F. Du, “Room-temperature implementation of the Deutsch-Jozsa algorithm with a single electronic spin in diamond,” Phys. Rev. Lett. 105, 040504 (2010).
[Crossref]

Fan, S.

Y. Huo, S. Sandhu, J. Pan, N. Stuhrmann, M. L. Povinelli, J. M. Kahn, J. S. Harris, M. M. Fejer, and S. Fan, “Experimental demonstration of two methods for controlling the group delay in a system with photonic-crystal resonators coupled to a waveguide,” Opt. Lett. 36, 1482–1484 (2011).
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J. Pan, Y. Huo, S. Sandhu, N. Stuhrmann, M. L. Povinelli, J. S. Harris, M. M. Fejer, and S. Fan, “Tuning the coherent interaction in an on-chip photonic-crystal waveguide-resonator system,” Appl. Phys. Lett. 97, 101102 (2010).
[Crossref]

J. Pan, S. Sandhu, Y. Huo, M. Povinelli, J. S. Harris, M. M. Fejer, and S. Fan, “Experimental demonstration of an all-optical analogue to the superradiance effect in an on-chip photonic crystal resonator system,” Phys. Rev. B 81, 041101 (2010).
[Crossref]

C. Manolatou, M. J. Khan, S. Fan, Pierre R. Villeneuve, H. A. Haus, and J. D. Joannopoulos, “Coupling of modes analysis of resonant channel add-drop filters,” IEEE J. Quantum Electron. 35, 1322–1330 (1999).
[Crossref]

Fattal, D.

Feiguin, A. E.

R. Hanson, V. V. Dobrovitski, A. E. Feiguin, O. Gywat, and D. D. Awschalom, “Coherent dynamics of a single spin interacting with an adjustable spin bath,” Science 320, 352–355 (2008).
[Crossref] [PubMed]

Fejer, M. M.

Y. Huo, S. Sandhu, J. Pan, N. Stuhrmann, M. L. Povinelli, J. M. Kahn, J. S. Harris, M. M. Fejer, and S. Fan, “Experimental demonstration of two methods for controlling the group delay in a system with photonic-crystal resonators coupled to a waveguide,” Opt. Lett. 36, 1482–1484 (2011).
[Crossref] [PubMed]

J. Pan, S. Sandhu, Y. Huo, M. Povinelli, J. S. Harris, M. M. Fejer, and S. Fan, “Experimental demonstration of an all-optical analogue to the superradiance effect in an on-chip photonic crystal resonator system,” Phys. Rev. B 81, 041101 (2010).
[Crossref]

J. Pan, Y. Huo, S. Sandhu, N. Stuhrmann, M. L. Povinelli, J. S. Harris, M. M. Fejer, and S. Fan, “Tuning the coherent interaction in an on-chip photonic-crystal waveguide-resonator system,” Appl. Phys. Lett. 97, 101102 (2010).
[Crossref]

Feng, M.

Q. Chen, W. L. Yang, M. Feng, and J. F. Du, “Entangling separate nitrogen-vacancy centers in a scalable fashion via coupling to microtoroidal resonators,” Phys. Rev. A 83, 054305 (2011).
[Crossref]

F. Z. Fan, X. Rong, N. Y. Xu, Y. Wang, J. Wu, B. Chong, X. Peng, J. Kniepert, R. Schoenfeld, W. Harneit, M. Feng, and J. F. Du, “Room-temperature implementation of the Deutsch-Jozsa algorithm with a single electronic spin in diamond,” Phys. Rev. Lett. 105, 040504 (2010).
[Crossref]

J. H. An, M. Feng, and C. H. Oh, “Quantum-information processing with a single photon by an input-output process with respect to low- Q cavities,” Phys. Rev. A 79, 032303 (2009).
[Crossref]

Fiorentino, M.

Fu, K. M.

Gaebel, T.

T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, “Room-temperature coherent coupling of single spins in diamond,” Nat. Phys. 2, 408–413 (2006).
[Crossref]

F. Jelezko, T. Gaebel, I. Popa, M. Domhan, A. Gruber, and J. Wrachtrup, “Observation of coherent oscillation of a single nuclear spin and realization of a two-qubit conditional quantum gate,” Phys. Rev. Lett. 93, 130501 (2004).
[Crossref] [PubMed]

F. Jelezko, T. Gaebel, I. Popa, A. Gruber, and J. Wrachtrup, “Observation of coherent oscillations in a single electron spin,” Phys. Rev. Lett. 92, 076401 (2004).
[Crossref] [PubMed]

Gardiner, C. W.

C. W. Gardiner and P. Zoller, Quantum Noise, 3rd ed. (Springer, 2004).

Gibbs, H. M.

G. Khitrova, H. M. Gibbs, M. Kira, S. W. Koch, and A. Scherer, “Vacuum Rabi splitting in semiconductors,” Nat. Phys. 2, 81–90 (2006).
[Crossref]

Gisin, N.

N. Gisin and S. Massar, “Optimal quantum cloning machines,” Phys. Rev. Lett. 79, 2153–2156 (1997).
[Crossref]

Glasbeek, M.

E. van Oort, N. B. Manson, and M. Glasbeek, “Optically detected spin coherence of the diamond NV centre in its triplet ground state,” J. Phys. C 21, 4385–4391 (1988).
[Crossref]

Gottesman, D.

R. Cleve, D. Gottesman, and H. K. Lo, “How to share a quantum secret,” Phys. Rev. Lett. 83, 648–651 (1999).
[Crossref]

Greenberger, D. M.

D. M. Greenberger, M. A. Horne, A. Shimony, and A. Zeilinger, “Bell’s theorem without inequalities,” Am. J. Phys. 58, 1131–1143 (1990).
[Crossref]

Greentree, A. D.

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Figures (5)

Fig. 1
Fig. 1

Schematic of the coupled PC nanocavity and waveguide system. A two-mode PC nanocavity containing an N-V center is side-coupled to a waveguide with the coupling strength κ, i.e., the cavity damping. a + in, a − in and a + out, a − out denote the input and output optical field operators in the waveguide. σ+ (σ−) shows the corresponding photon with right(left)-polarized state. In the bubble, the detailed energy configuration is described for N-V center in diamond nanocrystal. The transitions |−〉 ⇔ |1〉 and |+〉 ⇔ |1〉 are driven by the R(σ+)- and L(σ−)-polarized photon, respectively.

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Fig. 2
Fig. 2

Schematic of the setup for the generation of three-qubit GHZ state of three N-V centers which are confined individually in three PC nanocavities. All the nanocavities are coupled identically to a common waveguide. Polarization beam splitters (PBS) transmit V–polarized photons and transmit H–polarized photons; Half-wave plates (HWP) interchange the polarization of photons H ⇔ V; Quarter-wave plates (QWP) achieve the porlarization changes of the single-photon pulse as |V〉 ⇔ |R〉; Beam splitters (BS) mix the two polarized components.

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Fig. 3
Fig. 3

(a) The absolute value of the transmission coefficient |T(ω)| as a function of frequency detuning (ωc − ω)/γ between the input pulse and PC nanocavity mode with gk = 500γ (red solid curve) and gk = 0 (blue dashed curve); (b) The phase shift ϕ/π as a function of frequency detuning (ωc − ω)/γ with gk = 500γ (red solid curve) and gk = 0 (blue dashed curve). The other system parameters are chosen as κ = 1000γ and ω0 = ωc.

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Fig. 4
Fig. 4

(a) The absolute value of the transmission coefficient |T(ω)| versus the coupling strength gk/γ with κ = 1000γ; (b) |T(ω)| versus the cavity damping κ/γ with gk = 500γ. The other system parameters are chosen as ω = ω0 = ωc.

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Fig. 5
Fig. 5

The shape functions for the input pulse (blue solid curve) and the transmitted pulses with the N-V centers in spin states |−〉 (red dashed curve) and in spin states |+〉 (red dotted curve). The transmitted pulses and the input pulse closed match and are hardly distinguishable in the figure.

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Equations (13)

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H ^ = ∑ k = R , L { ω c C k † C k + ∫ − ∞ ∞ ω a k † ( ω ) a k ( ω ) d ω + ∫ − ∞ ∞ κ 2 π [ i a k † ( ω ) C k − i a k ( ω ) C k † ] d ω } + ( ω 0 − i γ 2 ) | 1 〉 〈 1 | + ( i g R | 1 〉 〈 − | C R + i g L | 1 〉 〈 + | C L + H . C . ) ,
| ψ ( t ) 〉 = ∑ k = R , L [ d 1 ( t ) | 1 , 0 〉 | vac 〉 + d k c ( t ) | ∓ , 1 k 〉 | vac 〉 + ∫ − ∞ ∞ d k a ( t ) a k † ( ω ) | ∓ , 0 〉 | vac 〉 d ω ] .
i d ˙ k c ( t ) = ω c d k c ( t ) − i d 1 ( t ) g k − i ∫ − ∞ ∞ κ 2 π d k a ( t ) d ω ,
i d ˙ k a ( t ) = ω d k a ( t ) + i κ 2 π d k c ( t ) ,
i d ˙ 1 ( t ) = ( ω 0 − i γ 2 ) d 1 ( t ) + i [ d R c ( t ) g R + d L c ( t ) g L ] .
d k a ( t ) = e − i ω t d k a ( t 0 ) + κ 2 π ∫ t 0 t e − i ω ( t − t ′ ) d k c ( t ) d t ′                   for                     t > t 0
d ˙ k c ( t ) = − i ω c d k c ( t ) − κ 2 d k c ( t ) − d 1 ( t ) g k − κ a k in ,
a k in = 1 2 π ∫ − ∞ ∞ e − i ω t d k a ( t 0 ) d ω
a k out = ( 4 g k 2 − 4 g k ¯ 2 − κ γ ) a k in + 8 g k g k ¯ a k ¯ in 4 g k 2 + 4 g k ¯ 2 + κ γ ,
T ( ω ) = a k out a k in = − 1 ,
T ( ω ) = 1 .
{ | R 〉 | + 〉 → − | R 〉 | + 〉 | R 〉 | − 〉 → | R 〉 | − 〉 | L 〉 | + 〉 → | L 〉 | + 〉 | L 〉 | − 〉 → − | L 〉 | − 〉 ,
1 2 ( | H 〉 + | V 〉 ) | 0 + 0 + 0 + 〉 → 1 2 ( | H 〉 + | R 〉 ) | 0 + 0 + 0 + 〉 → 1 2 ( | H 〉 | 0 + 0 + 0 + 〉 + | R 〉 | 0 − 0 − 0 − 〉 ) → 1 2 ( | H 〉 | 0 + 0 + 0 + 〉 + | V 〉 | 0 − 0 − 0 − 〉 ) → 1 2 | V 〉 ( | 0 + 0 + 0 + 〉 + | 0 − 0 − 0 − 〉 ) .

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