Skip to main content
Top
Published in: Quantum Information Processing 4/2018

01-04-2018

Quantum iSWAP gate in optical cavities with a cyclic three-level system

Authors: Guo-an Yan, Hao-xue Qiao, Hua Lu

Published in: Quantum Information Processing | Issue 4/2018

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this paper we present a scheme to directly implement the iSWAP gate by passing a cyclic three-level system across a two-mode cavity quantum electrodynamics. In the scheme, a three-level \(\Delta \)-type atom ensemble prepared in its ground state mediates the interaction between the two-cavity modes. For this theoretical model, we also analyze its performance under practical noise, including spontaneous emission and the decay of the cavity modes. It is shown that our scheme may have a high fidelity under the practical noise.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Appendix
Available only for authorised users
Literature
1.
go back to reference Yavuz, D.D.: Single photon SWAP gate using electromagnetically induced transparency. Phys. Rev. A 71, 053816 (2005)ADSCrossRef Yavuz, D.D.: Single photon SWAP gate using electromagnetically induced transparency. Phys. Rev. A 71, 053816 (2005)ADSCrossRef
2.
go back to reference Zheng, S.B., Guo, G.C.: Efficient scheme for two-atom entanglement and quantum information processing in cavity QED. Phys. Rev. Lett. 85, 2392 (2000)ADSCrossRef Zheng, S.B., Guo, G.C.: Efficient scheme for two-atom entanglement and quantum information processing in cavity QED. Phys. Rev. Lett. 85, 2392 (2000)ADSCrossRef
3.
go back to reference Cirac, J.I., Zoller, P., Kimble, H.J., Mabuchi, H.: Quantum state transfer and entanglement distribution among distant nodes in a quantum network. Phys. Rev. Lett. 78, 3221 (1997)ADSCrossRef Cirac, J.I., Zoller, P., Kimble, H.J., Mabuchi, H.: Quantum state transfer and entanglement distribution among distant nodes in a quantum network. Phys. Rev. Lett. 78, 3221 (1997)ADSCrossRef
4.
go back to reference Yao, W., Liu, R.B., Sham, L.J.: Theory of control of the spin-photon interface for quantum networks. Phys. Rev. Lett. 95, 030504 (2005)ADSCrossRefMATH Yao, W., Liu, R.B., Sham, L.J.: Theory of control of the spin-photon interface for quantum networks. Phys. Rev. Lett. 95, 030504 (2005)ADSCrossRefMATH
5.
go back to reference Liu, Y.C., Luan, X.S., Li, H.K., Gong, Q.H., Wong, C.W., Xiao, Y.F.: Coherent polariton dynamics in coupled highly dissipative cavities. Phys. Rev. Lett. 112, 213602 (2014)ADSCrossRef Liu, Y.C., Luan, X.S., Li, H.K., Gong, Q.H., Wong, C.W., Xiao, Y.F.: Coherent polariton dynamics in coupled highly dissipative cavities. Phys. Rev. Lett. 112, 213602 (2014)ADSCrossRef
6.
go back to reference Astafiev, O., Zagoskin Jr., A.M., Abdumalikov, A.A., Paskin, Y.A., Yamamoto, T., Inomata, K., Nakamura, Y., Tsai, J.S.: Resonance fluorescence of a single artificial atom. Science 327, 840–843 (2010)ADSCrossRef Astafiev, O., Zagoskin Jr., A.M., Abdumalikov, A.A., Paskin, Y.A., Yamamoto, T., Inomata, K., Nakamura, Y., Tsai, J.S.: Resonance fluorescence of a single artificial atom. Science 327, 840–843 (2010)ADSCrossRef
7.
go back to reference Steiner, M., Meyer, H.M., Reichel, J., Köhl, M.: Photon Emission and Absorption of a Single Ion Coupled to an Optical-Fiber Cavity. Phys. Rev. Lett. 113, 263003 (2014)ADSCrossRef Steiner, M., Meyer, H.M., Reichel, J., Köhl, M.: Photon Emission and Absorption of a Single Ion Coupled to an Optical-Fiber Cavity. Phys. Rev. Lett. 113, 263003 (2014)ADSCrossRef
8.
go back to reference Cirac, I.J., Zoller, P.: Quantum Computations with Cold Trapped Ions. Phys. Rev. Lett. 74, 4091 (1995)ADSCrossRef Cirac, I.J., Zoller, P.: Quantum Computations with Cold Trapped Ions. Phys. Rev. Lett. 74, 4091 (1995)ADSCrossRef
9.
go back to reference Rempe, G., Thompson, R.J., Brecha, R.J., Lee, W.D., Kimble, H.J.: Optical bistability and photon statistics in cavity quantum electrodynamics. Phys. Rev. Lett. 67, 1727 (1991)ADSCrossRef Rempe, G., Thompson, R.J., Brecha, R.J., Lee, W.D., Kimble, H.J.: Optical bistability and photon statistics in cavity quantum electrodynamics. Phys. Rev. Lett. 67, 1727 (1991)ADSCrossRef
10.
go back to reference Barenco, A., Deutsch, D., Ekert, A., Jozsa, R.: Conditional quantum dynamics and logic gates. Phys. Rev. Lett. 74, 4083 (1995)ADSCrossRef Barenco, A., Deutsch, D., Ekert, A., Jozsa, R.: Conditional quantum dynamics and logic gates. Phys. Rev. Lett. 74, 4083 (1995)ADSCrossRef
12.
go back to reference Schön, C., Hammerer, K., Wolf, M.M., Cirac, J.I., Solano, E.: Sequential generation of matrix-product states in cavity \(QED\). Phys. Rev. A 75, 032311 (2007)ADSCrossRef Schön, C., Hammerer, K., Wolf, M.M., Cirac, J.I., Solano, E.: Sequential generation of matrix-product states in cavity \(QED\). Phys. Rev. A 75, 032311 (2007)ADSCrossRef
13.
go back to reference Gershenfeld, N.A., Chuang, I.L.: Science. Bulk spin-resonance quantum computation 275, 350 (1997) Gershenfeld, N.A., Chuang, I.L.: Science. Bulk spin-resonance quantum computation 275, 350 (1997)
14.
go back to reference Loss, D., DiVincenzo, D.P.: Quantum computation with quantum dots. Phys. Rev. A 57, 120 (1998)ADSCrossRef Loss, D., DiVincenzo, D.P.: Quantum computation with quantum dots. Phys. Rev. A 57, 120 (1998)ADSCrossRef
15.
16.
go back to reference Brennen, G.K., Caves, C.M., Jessen, P.S., Deutsch, I.H.: Quantum logic gates in optical lattices. Phys. Rev. Lett. 82, 1060 (1999)ADSCrossRef Brennen, G.K., Caves, C.M., Jessen, P.S., Deutsch, I.H.: Quantum logic gates in optical lattices. Phys. Rev. Lett. 82, 1060 (1999)ADSCrossRef
17.
go back to reference Knill, E., Laflamme, R., Milburn, G.J.: A scheme for efficient quantum computation with linear optics. Nature 409, 46–52 (2001)ADSCrossRefMATH Knill, E., Laflamme, R., Milburn, G.J.: A scheme for efficient quantum computation with linear optics. Nature 409, 46–52 (2001)ADSCrossRefMATH
18.
go back to reference Duan, L.M., Lukin, M.D., Cirac, J.I., Zoller, E.: Long-distance quantum communication with atomic ensembles and linear optics. Nature 414, 413 (2001)ADSCrossRef Duan, L.M., Lukin, M.D., Cirac, J.I., Zoller, E.: Long-distance quantum communication with atomic ensembles and linear optics. Nature 414, 413 (2001)ADSCrossRef
19.
go back to reference Cirac, J.I., Zoller, P.: Quantum Computations with Trapped ions. Phys. Rev. Lett. 74, 4091 (1995)ADSCrossRef Cirac, J.I., Zoller, P.: Quantum Computations with Trapped ions. Phys. Rev. Lett. 74, 4091 (1995)ADSCrossRef
20.
go back to reference Knill, E., Laflamme, R., Milbum, G.J.: A scheme for efficient quantum computation with linear optics. Nature 409, 46 (2001)ADSCrossRef Knill, E., Laflamme, R., Milbum, G.J.: A scheme for efficient quantum computation with linear optics. Nature 409, 46 (2001)ADSCrossRef
21.
22.
go back to reference Xiao, Y.F., Zou, X.B., He, Z.F., Guo, G.C.: Quantum phase gate in an optical cavity with atomic cloud. Phys. Rev. A 74, 044303 (2006)ADSCrossRef Xiao, Y.F., Zou, X.B., He, Z.F., Guo, G.C.: Quantum phase gate in an optical cavity with atomic cloud. Phys. Rev. A 74, 044303 (2006)ADSCrossRef
23.
go back to reference Lin, G.W., Zou, X.B., Ye, M.Y., Lin, X.M., Guo, G.C.: Quantum SWAP gate in an optical cavity with an atomic cloud. Phys. Rev. A 77, 064301 (2008)ADSCrossRef Lin, G.W., Zou, X.B., Ye, M.Y., Lin, X.M., Guo, G.C.: Quantum SWAP gate in an optical cavity with an atomic cloud. Phys. Rev. A 77, 064301 (2008)ADSCrossRef
24.
go back to reference Shu, J., Zou, X.B., Xiao, Y.F., Guo, G.C.: Quantum phase gate of photonic qubits in a cavity QED system. Phys. Rev. A 75, 044302 (2007)ADSCrossRef Shu, J., Zou, X.B., Xiao, Y.F., Guo, G.C.: Quantum phase gate of photonic qubits in a cavity QED system. Phys. Rev. A 75, 044302 (2007)ADSCrossRef
25.
go back to reference Sangouard, N., Lacour, X., Guerin, S., Jauslin, H.R.: Fast SWAP gate by adiabatic passage. Phys. Rev. A 72, 062309 (2005)ADSCrossRef Sangouard, N., Lacour, X., Guerin, S., Jauslin, H.R.: Fast SWAP gate by adiabatic passage. Phys. Rev. A 72, 062309 (2005)ADSCrossRef
26.
go back to reference Wang, B., Duan, L.M.: Implementation scheme of controlled SWAP gates for quantum fingerprinting and photonic quantum computation. Phys. Rev. A 75, 050304(R) (2007)ADSCrossRef Wang, B., Duan, L.M.: Implementation scheme of controlled SWAP gates for quantum fingerprinting and photonic quantum computation. Phys. Rev. A 75, 050304(R) (2007)ADSCrossRef
27.
go back to reference Duan, L.M., Kimble, H.J.: Scalable photonic quantum computation through cavity-assisted interactions. Phys. Rev. Lett. 92, 127902 (2004)ADSCrossRef Duan, L.M., Kimble, H.J.: Scalable photonic quantum computation through cavity-assisted interactions. Phys. Rev. Lett. 92, 127902 (2004)ADSCrossRef
28.
go back to reference Koshino, K., Ishizaka, S., Nakamura, Y.: Deterministic photon-photon SWAP gate using a \(\Lambda \) system. Phys. Rev. A 82, 010301(R) (2010)ADSCrossRef Koshino, K., Ishizaka, S., Nakamura, Y.: Deterministic photon-photon SWAP gate using a \(\Lambda \) system. Phys. Rev. A 82, 010301(R) (2010)ADSCrossRef
29.
go back to reference Wang, G.Y., Liu, Q., Deng, F.G.: Hyperentanglement purification for two-photon six-qubit quantum systems. Phys. Rev. A 94, 032319 (2016)ADSCrossRef Wang, G.Y., Liu, Q., Deng, F.G.: Hyperentanglement purification for two-photon six-qubit quantum systems. Phys. Rev. A 94, 032319 (2016)ADSCrossRef
30.
go back to reference Wang, H., Burkard, G.: Mechanically induced two-qubit gates and maximally entangled states for single electron spins in a carbon nanotube. Phys. Rev. B 92, 195432 (2015)ADSCrossRef Wang, H., Burkard, G.: Mechanically induced two-qubit gates and maximally entangled states for single electron spins in a carbon nanotube. Phys. Rev. B 92, 195432 (2015)ADSCrossRef
31.
go back to reference Salathé, Y., Mondal, M., Opplier, M., Heinsoo, J., Kurpiers, P., Potočnik, A., Mezzacapo, A., Las Heras, U., Lamata, L., Solano, E., Filipp, S., Wallraff, A.: Digital quantum simulation of spin models with circuit quantum electrodynamics. Phys. Rev. X 5, 021027 (2015) Salathé, Y., Mondal, M., Opplier, M., Heinsoo, J., Kurpiers, P., Potočnik, A., Mezzacapo, A., Las Heras, U., Lamata, L., Solano, E., Filipp, S., Wallraff, A.: Digital quantum simulation of spin models with circuit quantum electrodynamics. Phys. Rev. X 5, 021027 (2015)
32.
go back to reference Andrianov, S.N., Moiseev, S.A.: Fast and robust two- and three-qubit swapping gates on multi-atomic ensembles in quantum electrodynamic cavity. arXiv1103, 3098 (2011) Andrianov, S.N., Moiseev, S.A.: Fast and robust two- and three-qubit swapping gates on multi-atomic ensembles in quantum electrodynamic cavity. arXiv1103, 3098 (2011)
33.
go back to reference Liu, A.P., Wen, J.J., Cheng, L.Y., Su, S.L., Chen, L., Wang, H.F., Zhang, S.: Quantum cloning based on iSWAP gate with nitrogen-vacancy centers in photonic crystal cavities. Opt. Communications 333, 187–192 (2014)ADSCrossRef Liu, A.P., Wen, J.J., Cheng, L.Y., Su, S.L., Chen, L., Wang, H.F., Zhang, S.: Quantum cloning based on iSWAP gate with nitrogen-vacancy centers in photonic crystal cavities. Opt. Communications 333, 187–192 (2014)ADSCrossRef
34.
go back to reference Luo, M.X., Li, H.R., Wang, X.J.: Distributed atomic quantum information processing via optical fibers. Sci. Rep. 7, 1234 (2017)ADSCrossRef Luo, M.X., Li, H.R., Wang, X.J.: Distributed atomic quantum information processing via optical fibers. Sci. Rep. 7, 1234 (2017)ADSCrossRef
35.
go back to reference Clauser, J.F., Horne, M.A., Shimony, A., Holt, R.A.: Proposed experiment to test local hidden-variable theories. Phys. Rev. Lett. 23, 880 (1969)ADSCrossRefMATH Clauser, J.F., Horne, M.A., Shimony, A., Holt, R.A.: Proposed experiment to test local hidden-variable theories. Phys. Rev. Lett. 23, 880 (1969)ADSCrossRefMATH
36.
go back to reference Deutsch, D., Jozsa, R.: Rapid solution of problems by quantum computation. Proc. Ry. Soc. London A 439, 533 (1992)ADSMathSciNetMATH Deutsch, D., Jozsa, R.: Rapid solution of problems by quantum computation. Proc. Ry. Soc. London A 439, 533 (1992)ADSMathSciNetMATH
37.
go back to reference Wang, X.B.: Beating the photon-number-splitting attack in practical quantum cryptography. Phys. Rev. Lett. 94, 230503 (2005)ADSCrossRef Wang, X.B.: Beating the photon-number-splitting attack in practical quantum cryptography. Phys. Rev. Lett. 94, 230503 (2005)ADSCrossRef
38.
go back to reference Serra, S.M., Villas-Boas, C.J., de Almeida, N.G., Moussa, M.H.Y.: Frequency up-and down-conversions in two-mode cavity quantum electrodynamics. Phys. Rev. A 71, 045802 (2005)ADSCrossRef Serra, S.M., Villas-Boas, C.J., de Almeida, N.G., Moussa, M.H.Y.: Frequency up-and down-conversions in two-mode cavity quantum electrodynamics. Phys. Rev. A 71, 045802 (2005)ADSCrossRef
39.
go back to reference Guzman, R., Retamal, J.C., Solano, E., Zagury, N.: Field squeeze operators in optical cavities with atomic ensembles. Phys. Rev. Lett. 96, 010502 (2006)ADSCrossRef Guzman, R., Retamal, J.C., Solano, E., Zagury, N.: Field squeeze operators in optical cavities with atomic ensembles. Phys. Rev. Lett. 96, 010502 (2006)ADSCrossRef
40.
go back to reference Parkins, A.S., Solano, E., Cirac, J.I.: Unconditional two-mode squeezing of separated atomic ensembles. Phys. Rev. Lett. 96, 053602 (2006)ADSCrossRef Parkins, A.S., Solano, E., Cirac, J.I.: Unconditional two-mode squeezing of separated atomic ensembles. Phys. Rev. Lett. 96, 053602 (2006)ADSCrossRef
41.
go back to reference Joshi, A., Hassan, S.S., Xiao, M.: Generation of a two-mode generalized coherent state in a cavity QED system. Phys. Lett. A 367, 415 (2007)ADSCrossRef Joshi, A., Hassan, S.S., Xiao, M.: Generation of a two-mode generalized coherent state in a cavity QED system. Phys. Lett. A 367, 415 (2007)ADSCrossRef
42.
go back to reference Zhou, L., Yang, L.P., Li, Y., Sun, C.P.: Quantum routing of single photons with a cyclic three-level system. Phys. Rev. Lett. 111, 103604 (2013)ADSCrossRef Zhou, L., Yang, L.P., Li, Y., Sun, C.P.: Quantum routing of single photons with a cyclic three-level system. Phys. Rev. Lett. 111, 103604 (2013)ADSCrossRef
43.
go back to reference Chouikh, A., Said, T., Essammouni, K., Bennai, M.: Implementation of universal two- and three-qubit quantum gates in a cavity QED. Opt. Quant. Electron. 48, 463 (2016)CrossRef Chouikh, A., Said, T., Essammouni, K., Bennai, M.: Implementation of universal two- and three-qubit quantum gates in a cavity QED. Opt. Quant. Electron. 48, 463 (2016)CrossRef
44.
go back to reference Zubairy, M.S., Kim, M., Scully, M.O.: Cavity-QED-based quantum phase gate. Phys. Rev. A 68, 033820 (2003)ADSCrossRef Zubairy, M.S., Kim, M., Scully, M.O.: Cavity-QED-based quantum phase gate. Phys. Rev. A 68, 033820 (2003)ADSCrossRef
45.
go back to reference Shao, X.Q., Chen, L., Zhang, S., Zhao, Y.F.: Swap gate and controlled swap gate base on a single resonant interaction with cavity quantum electrodynamics. Phys. Scr. 79, 065004 (2009)ADSCrossRefMATH Shao, X.Q., Chen, L., Zhang, S., Zhao, Y.F.: Swap gate and controlled swap gate base on a single resonant interaction with cavity quantum electrodynamics. Phys. Scr. 79, 065004 (2009)ADSCrossRefMATH
46.
go back to reference Plenio, M.B., Knight, P.L.: The quantum-jump approach to dissipative dynamics in quantum optics. Rev. Mod. Phys. 70, 101 (1998)ADSCrossRef Plenio, M.B., Knight, P.L.: The quantum-jump approach to dissipative dynamics in quantum optics. Rev. Mod. Phys. 70, 101 (1998)ADSCrossRef
47.
go back to reference Li, Y., Zheng, L., Liu, Y.X., Sun, C.P.: Correlated photons and collective excitations of a cyclic atomic ensemble. Phys. Rev. A 73, 043805 (2006)ADSCrossRef Li, Y., Zheng, L., Liu, Y.X., Sun, C.P.: Correlated photons and collective excitations of a cyclic atomic ensemble. Phys. Rev. A 73, 043805 (2006)ADSCrossRef
48.
go back to reference Liu, Y.X., You, J.Q., Wei, L.F., Sun, C.P., Nori, Franco: Optical selection rules and phase-dependent adiabatic State Control in a superconducting quantum Circuit. Phys. Rev. Lett. 95, 087001 (2005)ADSCrossRef Liu, Y.X., You, J.Q., Wei, L.F., Sun, C.P., Nori, Franco: Optical selection rules and phase-dependent adiabatic State Control in a superconducting quantum Circuit. Phys. Rev. Lett. 95, 087001 (2005)ADSCrossRef
49.
go back to reference Li, Y., Bruder, C., Sun, C.P.: Generalized stern-gerlach effect for chiral molecules. Phys. Rev. Lett. 99, 130403 (2007)ADSCrossRef Li, Y., Bruder, C., Sun, C.P.: Generalized stern-gerlach effect for chiral molecules. Phys. Rev. Lett. 99, 130403 (2007)ADSCrossRef
50.
go back to reference Kral, P., Shapiro, M.: Cyclic population transfer in quantum systems with broken symmetry. Phys. Rev. Lett. 87, 183002 (2001)ADSCrossRef Kral, P., Shapiro, M.: Cyclic population transfer in quantum systems with broken symmetry. Phys. Rev. Lett. 87, 183002 (2001)ADSCrossRef
51.
go back to reference Gu, X., Frisk Kockumb, A., Miranowicz, A., Liu, Y.X., Nori, Franco: Microwave photonics with superconducting quantum circuits. arXiv:1707.02046 (2017) Gu, X., Frisk Kockumb, A., Miranowicz, A., Liu, Y.X., Nori, Franco: Microwave photonics with superconducting quantum circuits. arXiv:​1707.​02046 (2017)
Metadata
Title
Quantum iSWAP gate in optical cavities with a cyclic three-level system
Authors
Guo-an Yan
Hao-xue Qiao
Hua Lu
Publication date
01-04-2018
Publisher
Springer US
Published in
Quantum Information Processing / Issue 4/2018
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-018-1836-7

Other articles of this Issue 4/2018

Quantum Information Processing 4/2018 Go to the issue