Skip to main content
Erschienen in: Quantum Information Processing 8/2015

01.08.2015

W state generation by adding independent single photons

verfasst von: Jie-Ru Hu, Qing Lin

Erschienen in: Quantum Information Processing | Ausgabe 8/2015

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

In this paper, we present a simple scheme for adding independent single photons to the existed W state one by one, and then the size of W state will be expanded. Only one CNOT operation and one discrimination operation are enough for expanding \(n\)-photon W state to \((n+1)\)-photon W state, with the success probability \((n+1)/2n\). No single photons will be detected, and no more entangled resources are necessary. If further operations are performed, the success probability can be increased as considered. Moreover, with \(m\) CNOT operations and one complicate discrimination process, \(m\)-independent single photons can be added simultaneously.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

Literatur
1.
Zurück zum Zitat Bennett, C.H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels. Phys. Rev. Lett. 70, 1895–1899 (1993)MathSciNetCrossRefADSMATH Bennett, C.H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels. Phys. Rev. Lett. 70, 1895–1899 (1993)MathSciNetCrossRefADSMATH
2.
Zurück zum Zitat Scarani, V., Bechmann-Pasquinucci, H., Cerf, N.J., Duek, M., Ltkenhaus, N., Peev, M.: The security of practical quantum key distribution. Rev. Mod. Phys. 81, 1301–1350 (2009)CrossRefADS Scarani, V., Bechmann-Pasquinucci, H., Cerf, N.J., Duek, M., Ltkenhaus, N., Peev, M.: The security of practical quantum key distribution. Rev. Mod. Phys. 81, 1301–1350 (2009)CrossRefADS
3.
Zurück zum Zitat Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. CUP, Cambridge (2000)MATH Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. CUP, Cambridge (2000)MATH
4.
Zurück zum Zitat Kok, P., Munro, W.J., Nemoto, K., Ralph, T.C., Dowling, J.P., Milburn, G.J.: Linear optical quantum computing with photonic qubits. Rev. Mod. Phys. 79, 135–174 (2007)CrossRefADS Kok, P., Munro, W.J., Nemoto, K., Ralph, T.C., Dowling, J.P., Milburn, G.J.: Linear optical quantum computing with photonic qubits. Rev. Mod. Phys. 79, 135–174 (2007)CrossRefADS
5.
Zurück zum Zitat Greenberger, D.M., Horne, M., Zeilinger, A.: In: Kafatos, M. (ed.) Bell’s Theorem, Quantum Theory and Conceptions of the Universe, pp. 69–72. Kluwer, Dordrecht (1989) Greenberger, D.M., Horne, M., Zeilinger, A.: In: Kafatos, M. (ed.) Bell’s Theorem, Quantum Theory and Conceptions of the Universe, pp. 69–72. Kluwer, Dordrecht (1989)
6.
7.
Zurück zum Zitat Murao, M., Jonathan, D., Plenio, M.B., Vedral, V.: Quantum telecloning and multiparticle entanglement. Phys. Rev. A 59, 156–161 (1999)CrossRefADS Murao, M., Jonathan, D., Plenio, M.B., Vedral, V.: Quantum telecloning and multiparticle entanglement. Phys. Rev. A 59, 156–161 (1999)CrossRefADS
8.
Zurück zum Zitat D’Hondt, E., Panangaden, P.: The computational power of the W and GHZ states. Quantum Inf. Comput. 6, 173–183 (2006)MathSciNetMATH D’Hondt, E., Panangaden, P.: The computational power of the W and GHZ states. Quantum Inf. Comput. 6, 173–183 (2006)MathSciNetMATH
9.
Zurück zum Zitat Joo, J., Lee, J., Jang, J., Park, Y.J.: Quantum secure communication via a W state. J. Korean Phys. Soc. 46, 763–768 (2005) Joo, J., Lee, J., Jang, J., Park, Y.J.: Quantum secure communication via a W state. J. Korean Phys. Soc. 46, 763–768 (2005)
10.
Zurück zum Zitat Ng, H.T., Kim, K.: Quantum estimation of magnetic-field gradient using W-state. Opt. Commun. 331, 353–358 (2014)CrossRefADS Ng, H.T., Kim, K.: Quantum estimation of magnetic-field gradient using W-state. Opt. Commun. 331, 353–358 (2014)CrossRefADS
11.
Zurück zum Zitat Zou, X.B., Pahlke, K., Mathis, W.: Generation of an entangled four-photon W state. Phys. Rev. A 66, 044302 (2002)CrossRefADS Zou, X.B., Pahlke, K., Mathis, W.: Generation of an entangled four-photon W state. Phys. Rev. A 66, 044302 (2002)CrossRefADS
12.
Zurück zum Zitat Yamamoto, T., Tamaki, K., Koashi, M., Imoto, N.: Polarization-entangled W state using parametric down-conversion. Phys. Rev. A 66, 064301 (2002)CrossRefADS Yamamoto, T., Tamaki, K., Koashi, M., Imoto, N.: Polarization-entangled W state using parametric down-conversion. Phys. Rev. A 66, 064301 (2002)CrossRefADS
13.
Zurück zum Zitat Li, Y., Kobayashi, T.: Four-photon W state using two-crystal geometry parametric down-conversion. Phys. Rev. A 70, 014301 (2004)CrossRefADS Li, Y., Kobayashi, T.: Four-photon W state using two-crystal geometry parametric down-conversion. Phys. Rev. A 70, 014301 (2004)CrossRefADS
14.
Zurück zum Zitat Shi, B.S., Tomita, A.: Creation of a polarization W state using optical fibre multiports. J. Mod. Opt. 52, 755–761 (2005)CrossRefADS Shi, B.S., Tomita, A.: Creation of a polarization W state using optical fibre multiports. J. Mod. Opt. 52, 755–761 (2005)CrossRefADS
15.
Zurück zum Zitat Tashima, T., Özdemir, S.K., Yamamoto, T., Koashi, M., Imoto, N.: An elementary optical gate for expanding an entanglement web. Phys. Rev. A 77, 030302 (2008)CrossRefADS Tashima, T., Özdemir, S.K., Yamamoto, T., Koashi, M., Imoto, N.: An elementary optical gate for expanding an entanglement web. Phys. Rev. A 77, 030302 (2008)CrossRefADS
16.
Zurück zum Zitat Gong, Y.X., Zou, X.B., Huang, Y.F., Guo, G.C.: Simple scheme for expanding a polarization-entangled W state adding one photon. J. Phys. B: At. Mol. Opt. Phys. 42, 035503 (2013)CrossRefADSMATH Gong, Y.X., Zou, X.B., Huang, Y.F., Guo, G.C.: Simple scheme for expanding a polarization-entangled W state adding one photon. J. Phys. B: At. Mol. Opt. Phys. 42, 035503 (2013)CrossRefADSMATH
17.
Zurück zum Zitat Tashima, T., Özdemir, S.K., Yamamoto, T., Koashi, M., Imoto, N.: Local expansion of photonic W state using a polarization-dependent beamsplitter. New J. Phys. 11, 023024 (2009)CrossRefADS Tashima, T., Özdemir, S.K., Yamamoto, T., Koashi, M., Imoto, N.: Local expansion of photonic W state using a polarization-dependent beamsplitter. New J. Phys. 11, 023024 (2009)CrossRefADS
18.
Zurück zum Zitat Ikuta, R., Tashima, T., Yamamoto, T., Koashi, M., Imoto, N.: Optimal local expansion of W states using linear optics and Fock states. Phys. Rev. A 83, 012314 (2011)CrossRefADS Ikuta, R., Tashima, T., Yamamoto, T., Koashi, M., Imoto, N.: Optimal local expansion of W states using linear optics and Fock states. Phys. Rev. A 83, 012314 (2011)CrossRefADS
19.
Zurück zum Zitat Eibl, M., Kiesel, N., Bourennane, M., Kurtsiefer, C., Weinfurter, H.: Experimental realization of a three-qubit entangled W state. Phys. Rev. Lett. 92, 077901 (2014)CrossRefADS Eibl, M., Kiesel, N., Bourennane, M., Kurtsiefer, C., Weinfurter, H.: Experimental realization of a three-qubit entangled W state. Phys. Rev. Lett. 92, 077901 (2014)CrossRefADS
20.
Zurück zum Zitat Mikami, H., Li, Y., Fukuoka, K., Fukuoka, K., Kobayashi, T.: New high-efficiency source of a three-photon w state and its full characterization using quantum state tomography. Phys. Rev. Lett. 95, 150404 (2005)CrossRefADS Mikami, H., Li, Y., Fukuoka, K., Fukuoka, K., Kobayashi, T.: New high-efficiency source of a three-photon w state and its full characterization using quantum state tomography. Phys. Rev. Lett. 95, 150404 (2005)CrossRefADS
21.
Zurück zum Zitat Kiesel, N., Schmid, C., Tth, G., Solano, E., Weinfurter, H.: Experimental observation of four-photon entangled Dicke state with high fidelity. Phys. Rev. Lett. 98, 063604 (2007)CrossRefADS Kiesel, N., Schmid, C., Tth, G., Solano, E., Weinfurter, H.: Experimental observation of four-photon entangled Dicke state with high fidelity. Phys. Rev. Lett. 98, 063604 (2007)CrossRefADS
22.
Zurück zum Zitat Tashima, T., Wakatsuki, T., Özdemir, S.K., Yamamoto, T., Koashi, M., Imoto, N.: Local transformation of two EPR photon pairs into a three-photon W state. Phys. Rev. Lett. 102, 130502 (2009)MathSciNetCrossRefADS Tashima, T., Wakatsuki, T., Özdemir, S.K., Yamamoto, T., Koashi, M., Imoto, N.: Local transformation of two EPR photon pairs into a three-photon W state. Phys. Rev. Lett. 102, 130502 (2009)MathSciNetCrossRefADS
23.
Zurück zum Zitat Tashima, T., Kitano, T., Özdemir, S.K., Yamamoto, T., Koashi, M., Imoto, N.: Demonstration of local expansion toward large-scale entangled webs. Phys. Rev. Lett. 105, 210503 (2010)CrossRefADS Tashima, T., Kitano, T., Özdemir, S.K., Yamamoto, T., Koashi, M., Imoto, N.: Demonstration of local expansion toward large-scale entangled webs. Phys. Rev. Lett. 105, 210503 (2010)CrossRefADS
24.
Zurück zum Zitat Gräfe, M., Heilmann, R., Perez-Leijia, A., Keil, R., Dreisow, F., Heinrich, M., Moya-cessa, H., Nolte, S., Christodoulides, D.N., Szameit, A.: On-chip generation of high-order single-photon W-states. Nat. Photonics 8, 791–795 (2014)CrossRefADS Gräfe, M., Heilmann, R., Perez-Leijia, A., Keil, R., Dreisow, F., Heinrich, M., Moya-cessa, H., Nolte, S., Christodoulides, D.N., Szameit, A.: On-chip generation of high-order single-photon W-states. Nat. Photonics 8, 791–795 (2014)CrossRefADS
25.
Zurück zum Zitat Özdemir, S.K., Matsunaga, E., Tashima, T., Yamamoto, T., Koashi, M., Imoto, N.: An optical fusion gate for W-states. New J. Phys. 13, 103003 (2011)CrossRef Özdemir, S.K., Matsunaga, E., Tashima, T., Yamamoto, T., Koashi, M., Imoto, N.: An optical fusion gate for W-states. New J. Phys. 13, 103003 (2011)CrossRef
26.
Zurück zum Zitat Bugu, S., Yesilyurt, C., Ozaydin, F.: Enhancing the W-state quantum-network-fusion process with a single Fredkin gate. Phys. Rev. A 87, 032331 (2013)CrossRefADS Bugu, S., Yesilyurt, C., Ozaydin, F.: Enhancing the W-state quantum-network-fusion process with a single Fredkin gate. Phys. Rev. A 87, 032331 (2013)CrossRefADS
27.
Zurück zum Zitat Ozaydin, F., Bugu, S., Yesilyurt, C., Altintas, A.A., Tame, M., Özdemir, S.K.: Fusing multiple W states simultaneously with a Fredkin gate. Phys. Rev. A 89, 042311 (2014)CrossRefADS Ozaydin, F., Bugu, S., Yesilyurt, C., Altintas, A.A., Tame, M., Özdemir, S.K.: Fusing multiple W states simultaneously with a Fredkin gate. Phys. Rev. A 89, 042311 (2014)CrossRefADS
28.
Zurück zum Zitat Yesilyurt, C., Bugu, S., Ozaydin, F.: An optical gate for simultaneous fusion of four photonic W or Bell states. Quantum Inf. Process. 12, 2965–2975 (2013)MathSciNetCrossRefADSMATH Yesilyurt, C., Bugu, S., Ozaydin, F.: An optical gate for simultaneous fusion of four photonic W or Bell states. Quantum Inf. Process. 12, 2965–2975 (2013)MathSciNetCrossRefADSMATH
29.
Zurück zum Zitat Lin, Q.: Efficient generation of multi-photon W state. Sci. Sin.-Phys. Mech. Astron. 42, 54–60 (2012). (in Chinese)CrossRef Lin, Q.: Efficient generation of multi-photon W state. Sci. Sin.-Phys. Mech. Astron. 42, 54–60 (2012). (in Chinese)CrossRef
30.
Zurück zum Zitat Barrett, S.D., Kok, P., Nemoto, K., Beausoleil, R.G., Munro, W.J., Spiller, T.P.: Symmetry analyzer for nondestructive bell-state detection using weak nonlinearities. Phys. Rev. A 71, 060302 (2005). (R)CrossRefADS Barrett, S.D., Kok, P., Nemoto, K., Beausoleil, R.G., Munro, W.J., Spiller, T.P.: Symmetry analyzer for nondestructive bell-state detection using weak nonlinearities. Phys. Rev. A 71, 060302 (2005). (R)CrossRefADS
31.
Zurück zum Zitat Nemoto, K., Munro, W.J.: Nearly deterministic linear optical controlled-NOT gate. Phys. Rev. Lett. 93, 250502 (2004)CrossRefADS Nemoto, K., Munro, W.J.: Nearly deterministic linear optical controlled-NOT gate. Phys. Rev. Lett. 93, 250502 (2004)CrossRefADS
32.
Zurück zum Zitat Pittman, T.B., Jacobs, B.C., Franson, J.D.: Probabilistic quantum logic operations using polarizing beam splitters. Phys. Rev. A 64, 062311 (2001)CrossRefADS Pittman, T.B., Jacobs, B.C., Franson, J.D.: Probabilistic quantum logic operations using polarizing beam splitters. Phys. Rev. A 64, 062311 (2001)CrossRefADS
33.
Zurück zum Zitat Lin, Q., He, B.: Single-photon logic gates using minimal resources. Phys. Rev. A 80, 042310 (2009)CrossRefADSMATH Lin, Q., He, B.: Single-photon logic gates using minimal resources. Phys. Rev. A 80, 042310 (2009)CrossRefADSMATH
34.
Zurück zum Zitat Lin, Q., He, B., Bergou, J.A., Ren, Y.H.: Processing multiphoton states through operation on a single photon: methods and applications. Phys. Rev. A 80, 042311 (2009)CrossRefADS Lin, Q., He, B., Bergou, J.A., Ren, Y.H.: Processing multiphoton states through operation on a single photon: methods and applications. Phys. Rev. A 80, 042311 (2009)CrossRefADS
35.
Zurück zum Zitat Lin, Q., He, B.: Efficient generation of universal two-dimensional cluster states with hybrid systems. Phys. Rev. A 82, 022331 (2010)CrossRefADS Lin, Q., He, B.: Efficient generation of universal two-dimensional cluster states with hybrid systems. Phys. Rev. A 82, 022331 (2010)CrossRefADS
36.
Zurück zum Zitat Lin, Q., He, B.: Weaving independently generated photons into an arbitrary graph state. Phys. Rev. A 84, 062312 (2011)CrossRefADS Lin, Q., He, B.: Weaving independently generated photons into an arbitrary graph state. Phys. Rev. A 84, 062312 (2011)CrossRefADS
37.
Zurück zum Zitat Han, X., Hu, S., Guo, Q., Wang, H.F., Zhang, S.: Effective scheme for W-state fusion with weak cross-Kerr nonlinearities. Quantum Inf. Process. (published online) Han, X., Hu, S., Guo, Q., Wang, H.F., Zhang, S.: Effective scheme for W-state fusion with weak cross-Kerr nonlinearities. Quantum Inf. Process. (published online)
Metadaten
Titel
W state generation by adding independent single photons
verfasst von
Jie-Ru Hu
Qing Lin
Publikationsdatum
01.08.2015
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 8/2015
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-015-1030-0

Weitere Artikel der Ausgabe 8/2015

Quantum Information Processing 8/2015 Zur Ausgabe

Neuer Inhalt