Skip to main content
Erschienen in: Quantum Information Processing 7/2013

01.07.2013

Joint remote state preparation of arbitrary two-particle states via GHZ-type states

verfasst von: Jia-Yin Peng, Ming-Xing Luo, Zhi-Wen Mo

Erschienen in: Quantum Information Processing | Ausgabe 7/2013

Einloggen

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

search-config
loading …

Abstract

The protocols for joint remote preparation of an arbitrary two-particle pure state from a spatially separated multi-sender to one receiver are presented in this paper. We first consider the situation of two sender and demonstrate a flexible deterministic joint remote state preparation compared with previous probabilistic schemes. And then generalize the protocol to multi-sender and show that by only adding some classical communication the success probability of preparation can be increased to four times. Finally, using a proper positive operator-valued measure instead of usual projective measurement, we present a new scheme via two non-maximally entangled states. It is shown that our schemes are generalizations of the usual standard joint remote state preparation scheme and more suitable for real experiments with requirements of only Pauli operations.

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., et al.: Teleportation an unknown quantum state via dual classical and Einstein-Podolsky-Rosem channels. Phys. Rev. Lett. 70(13), 1895–1899 (1993)MathSciNetADSMATHCrossRef Bennett, C.H., et al.: Teleportation an unknown quantum state via dual classical and Einstein-Podolsky-Rosem channels. Phys. Rev. Lett. 70(13), 1895–1899 (1993)MathSciNetADSMATHCrossRef
2.
Zurück zum Zitat Bennett, C.H., Wiesner, S.J.: Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states. Phys. Rev. Lett. 69, 2881 (1992)MathSciNetADSMATHCrossRef Bennett, C.H., Wiesner, S.J.: Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states. Phys. Rev. Lett. 69, 2881 (1992)MathSciNetADSMATHCrossRef
3.
Zurück zum Zitat Lo, H.K.: Classical-communication cost in distributed quantum-information processing: a generalization of quantum-communication complexity. Phys. Rev. A 62, 012313 (2000)ADSCrossRef Lo, H.K.: Classical-communication cost in distributed quantum-information processing: a generalization of quantum-communication complexity. Phys. Rev. A 62, 012313 (2000)ADSCrossRef
4.
Zurück zum Zitat Pati, A.K.: Minimum cbits for remote preperation and measurement of a qubit. Phys. Rev. A 63, 014302 (2001)ADSCrossRef Pati, A.K.: Minimum cbits for remote preperation and measurement of a qubit. Phys. Rev. A 63, 014302 (2001)ADSCrossRef
5.
Zurück zum Zitat Bennett, C.H., DiVincenzo, D.P., Shor, P.W., Smolin, J.A., Terhal, B.M., Wootters, W.K.: Remote state preparation. Phys. Rev. Lett. 87, 077902 (2001)ADSCrossRef Bennett, C.H., DiVincenzo, D.P., Shor, P.W., Smolin, J.A., Terhal, B.M., Wootters, W.K.: Remote state preparation. Phys. Rev. Lett. 87, 077902 (2001)ADSCrossRef
6.
Zurück zum Zitat Ye, M.Y., Zhang, Y.S., Guo, G.C.: Faithful remote state preparation using finite classical bits and a non maximally entangled state. Phys. Rev. A 69, 022310 (2004)ADSCrossRef Ye, M.Y., Zhang, Y.S., Guo, G.C.: Faithful remote state preparation using finite classical bits and a non maximally entangled state. Phys. Rev. A 69, 022310 (2004)ADSCrossRef
7.
Zurück zum Zitat Zeng, B., Zhang, P.: Remote-state preparation in higher dimension and the parallelizable manifold \(S^{n-1}\). Phys. Rev. A 65, 022316 (2002)ADSCrossRef Zeng, B., Zhang, P.: Remote-state preparation in higher dimension and the parallelizable manifold \(S^{n-1}\). Phys. Rev. A 65, 022316 (2002)ADSCrossRef
8.
Zurück zum Zitat Devetak, I., Berger, T.: Low-entanglement remote state preparation. Phys. Rev. Lett. 87, 197901 (2001)ADSCrossRef Devetak, I., Berger, T.: Low-entanglement remote state preparation. Phys. Rev. Lett. 87, 197901 (2001)ADSCrossRef
9.
Zurück zum Zitat Kurucz, Z., Adam, P., Janszky, J.: General criterion for oblivious remote state preparation. Phys. Rev. A 73, 062301 (2006)ADSCrossRef Kurucz, Z., Adam, P., Janszky, J.: General criterion for oblivious remote state preparation. Phys. Rev. A 73, 062301 (2006)ADSCrossRef
10.
Zurück zum Zitat Hayashi, A., Hashimoto, T., Horibe, M.: Remote state preparation without oblivious conditions. Phys. Rev. A 67, 052302 (2003)ADSCrossRef Hayashi, A., Hashimoto, T., Horibe, M.: Remote state preparation without oblivious conditions. Phys. Rev. A 67, 052302 (2003)ADSCrossRef
11.
Zurück zum Zitat Berry, D.W., Sanders, B.C.: Optimal remote state preparation. Phys. Rev. Lett. 90, 057901 (2003)ADSCrossRef Berry, D.W., Sanders, B.C.: Optimal remote state preparation. Phys. Rev. Lett. 90, 057901 (2003)ADSCrossRef
12.
Zurück zum Zitat Abeyesinghe, A., Hayden, P.: Generalized remote state preparation: trading cbits, qubits, and ebits in quantum communication. Phys. Rev. A 68, 062319 (2003)ADSCrossRef Abeyesinghe, A., Hayden, P.: Generalized remote state preparation: trading cbits, qubits, and ebits in quantum communication. Phys. Rev. A 68, 062319 (2003)ADSCrossRef
15.
Zurück zum Zitat Kurucz, Z., Adam, P., Kis, Z., Janszky, J.: Continuous variable remote state preparation. Phys. Rev. A 72, 052315 (2005) Kurucz, Z., Adam, P., Kis, Z., Janszky, J.: Continuous variable remote state preparation. Phys. Rev. A 72, 052315 (2005)
16.
Zurück zum Zitat Paris, M.G.A., Cola, M., Bonifacio, R.: Remote state preparation and teleportation in phase space. J. Opt. B 5, S360 (2003) Paris, M.G.A., Cola, M., Bonifacio, R.: Remote state preparation and teleportation in phase space. J. Opt. B 5, S360 (2003)
17.
Zurück zum Zitat Berry, D.W.: Resources required for exact remote state preparation. Phys. Rev. A 70, 062306 (2004)ADSCrossRef Berry, D.W.: Resources required for exact remote state preparation. Phys. Rev. A 70, 062306 (2004)ADSCrossRef
18.
Zurück zum Zitat Babichev, S.A., Brezger, B., Lvovsky, A.L.: Remote preparation of a single-mode photonic qubit by measuring field quadrature noise. Phys. Rev. Lett. 92, 047903 (2004)ADSCrossRef Babichev, S.A., Brezger, B., Lvovsky, A.L.: Remote preparation of a single-mode photonic qubit by measuring field quadrature noise. Phys. Rev. Lett. 92, 047903 (2004)ADSCrossRef
19.
Zurück zum Zitat Bennett, C.H., et al.: Remote preparation of quantum states. IEEE Trans. Inf. Theory 51, 56 (2005)CrossRef Bennett, C.H., et al.: Remote preparation of quantum states. IEEE Trans. Inf. Theory 51, 56 (2005)CrossRef
20.
Zurück zum Zitat Gour, G., Sanders, B.C.: Remote preparation and distribution of bipartite entangled states. Phys. Rev. Lett. 93, 260501 (2004)ADSCrossRef Gour, G., Sanders, B.C.: Remote preparation and distribution of bipartite entangled states. Phys. Rev. Lett. 93, 260501 (2004)ADSCrossRef
21.
Zurück zum Zitat Luo, M.X., et al.: The faithful remote preparation of general quantum states. Quantum Inf. Process. 12, 279–294 (2013)ADSMATHCrossRef Luo, M.X., et al.: The faithful remote preparation of general quantum states. Quantum Inf. Process. 12, 279–294 (2013)ADSMATHCrossRef
22.
Zurück zum Zitat Peters, N.A., et al.: Remote state preparation: arbitrary remote control of photon polarization. Phys. Rev. Lett. 94, 150502 (2005)ADSCrossRef Peters, N.A., et al.: Remote state preparation: arbitrary remote control of photon polarization. Phys. Rev. Lett. 94, 150502 (2005)ADSCrossRef
23.
Zurück zum Zitat Barreiro, J.T., Wei, T.C., Kwiat, P.G.: Remote preparation of single-photon “Hybrid” entangled and vector-polarization states. Phys. Rev. Lett. 105, 030407 (2010)ADSCrossRef Barreiro, J.T., Wei, T.C., Kwiat, P.G.: Remote preparation of single-photon “Hybrid” entangled and vector-polarization states. Phys. Rev. Lett. 105, 030407 (2010)ADSCrossRef
24.
Zurück zum Zitat Rosenfeld, W., et al.: Remote preparation of an atomic quantum memory. Phys. Rev. Lett. 98, 050504 (2007)ADSCrossRef Rosenfeld, W., et al.: Remote preparation of an atomic quantum memory. Phys. Rev. Lett. 98, 050504 (2007)ADSCrossRef
25.
Zurück zum Zitat Xia, Y., Song, J., Song, H.S.: Multiparty remote state preparation. J. Phys. B At. Mol. Opt. Phys. 40, 3719 (2007)ADSCrossRef Xia, Y., Song, J., Song, H.S.: Multiparty remote state preparation. J. Phys. B At. Mol. Opt. Phys. 40, 3719 (2007)ADSCrossRef
26.
Zurück zum Zitat Nguyen, B.A., Kim, J.: Collective remote state preparation. Int. J. Quantum Inf. 6, 1051 (2008)MATHCrossRef Nguyen, B.A., Kim, J.: Collective remote state preparation. Int. J. Quantum Inf. 6, 1051 (2008)MATHCrossRef
27.
Zurück zum Zitat Nguyen, B.A., Kim, J.: Joint remote state preparation. J. Phys. B At. Mol. Opt. Phys. 41, 095501 (2008)ADSCrossRef Nguyen, B.A., Kim, J.: Joint remote state preparation. J. Phys. B At. Mol. Opt. Phys. 41, 095501 (2008)ADSCrossRef
28.
Zurück zum Zitat Luo, M.X., Deng, Y.: Joint remote preparation of an arbitrary 4-qubit \(\chi \)-state. Int. J. Theor. Phys. 51, 3027–3036 (2012)MathSciNetMATHCrossRef Luo, M.X., Deng, Y.: Joint remote preparation of an arbitrary 4-qubit \(\chi \)-state. Int. J. Theor. Phys. 51, 3027–3036 (2012)MathSciNetMATHCrossRef
29.
Zurück zum Zitat Nguyen, B.A.: Joint remote preparation of a general two-qubit state. J. Phys. B At. Mol. Opt. Phys. 42, 125501 (2009)CrossRef Nguyen, B.A.: Joint remote preparation of a general two-qubit state. J. Phys. B At. Mol. Opt. Phys. 42, 125501 (2009)CrossRef
30.
Zurück zum Zitat Chen, Q.Q., Xia, Y., Song, J., Nguyen, B.A.: Joint remote state preparation of a W-type state via W-type states. Phys. Lett. A 374, 4483 (2010)ADSMATHCrossRef Chen, Q.Q., Xia, Y., Song, J., Nguyen, B.A.: Joint remote state preparation of a W-type state via W-type states. Phys. Lett. A 374, 4483 (2010)ADSMATHCrossRef
31.
Zurück zum Zitat Nguyen, B.A.: Joint remote state preparation via W and W-type states. Opt. Commun. 283, 4113 (2010)CrossRef Nguyen, B.A.: Joint remote state preparation via W and W-type states. Opt. Commun. 283, 4113 (2010)CrossRef
32.
Zurück zum Zitat Luo, M.X., et al.: Joint remote preparation of an arbitrary three-qubit state. Opt. Commun. 283, 4796 (2010)ADSCrossRef Luo, M.X., et al.: Joint remote preparation of an arbitrary three-qubit state. Opt. Commun. 283, 4796 (2010)ADSCrossRef
33.
Zurück zum Zitat Luo, M.X., et al.: Experiment architecture of joint remote state preparation. Quantum Inf. Process. 11, 751 (2012) Luo, M.X., et al.: Experiment architecture of joint remote state preparation. Quantum Inf. Process. 11, 751 (2012)
34.
Zurück zum Zitat Xiao, X.Q., Liu, J.M., Zeng, G.H.: Joint remote state preparation of arbitrary two- and three-qubit states. J. Phys. B At. Mol. Opt. Phys. 44, 075501 (2011)ADSCrossRef Xiao, X.Q., Liu, J.M., Zeng, G.H.: Joint remote state preparation of arbitrary two- and three-qubit states. J. Phys. B At. Mol. Opt. Phys. 44, 075501 (2011)ADSCrossRef
35.
Zurück zum Zitat Ozdemir, S.K., Miranowicz, A., Koashi, M., Imoto, N.: Pulse-mode quantum projection synthesis: effects of mode mismatch on optical state truncation and preparation. Phys. Rev. A 66, 053809 (2002)ADSCrossRef Ozdemir, S.K., Miranowicz, A., Koashi, M., Imoto, N.: Pulse-mode quantum projection synthesis: effects of mode mismatch on optical state truncation and preparation. Phys. Rev. A 66, 053809 (2002)ADSCrossRef
36.
Zurück zum Zitat Liang, H.Q., Lin, J.M.: Influence of noises on remote state preparation using GHZ state. Commun. Theor. Phys. 50, 643 (2008)ADSCrossRef Liang, H.Q., Lin, J.M.: Influence of noises on remote state preparation using GHZ state. Commun. Theor. Phys. 50, 643 (2008)ADSCrossRef
37.
Zurück zum Zitat Lo, H.K., Chau, H.F.: Unconditional security of quantum key distribution over arbitrarily long distances. Science 283, 2050 (1999)ADSCrossRef Lo, H.K., Chau, H.F.: Unconditional security of quantum key distribution over arbitrarily long distances. Science 283, 2050 (1999)ADSCrossRef
38.
Zurück zum Zitat Yan, F.L., Ding, H.W.: Probabilistic teleportation of an unknown two-particle state with a four-particle pure entangled state and positive operator valued measure. Chin. Phys. Lett. 23, 17 (2006)ADSCrossRef Yan, F.L., Ding, H.W.: Probabilistic teleportation of an unknown two-particle state with a four-particle pure entangled state and positive operator valued measure. Chin. Phys. Lett. 23, 17 (2006)ADSCrossRef
39.
Zurück zum Zitat van Enk, S.J., Cirac, J.I., Zoller, P.: Ideal quantum communication over noisy channels: a quantum optical implementation. Phys. Rev. Lett. 78, 4293 (1997)ADSCrossRef van Enk, S.J., Cirac, J.I., Zoller, P.: Ideal quantum communication over noisy channels: a quantum optical implementation. Phys. Rev. Lett. 78, 4293 (1997)ADSCrossRef
40.
Zurück zum Zitat Luo, M.-X., et al.: Classical communication costs in quantum information processing. Int. J. Quantum Inf. 5, 1267–1278 (2011)CrossRef Luo, M.-X., et al.: Classical communication costs in quantum information processing. Int. J. Quantum Inf. 5, 1267–1278 (2011)CrossRef
41.
Zurück zum Zitat Song, J.F., Wang, Z.Y.: Controlled remote preparation of a two-qubit state via positive operator-valued measure and two three-qubit entanglements. Int. J. Theor. Phys. 50, 2410 (2011)MathSciNetMATHCrossRef Song, J.F., Wang, Z.Y.: Controlled remote preparation of a two-qubit state via positive operator-valued measure and two three-qubit entanglements. Int. J. Theor. Phys. 50, 2410 (2011)MathSciNetMATHCrossRef
45.
Zurück zum Zitat Lance, A.M., et al.: Tripartite quantum state sharing. Phys. Rev. Lett. 92, 177903 (2004)ADSCrossRef Lance, A.M., et al.: Tripartite quantum state sharing. Phys. Rev. Lett. 92, 177903 (2004)ADSCrossRef
46.
Zurück zum Zitat Luo, M.X., Deng, Y.: Quantum splitting an arbitrary three-qubit state with \(\chi \)-state. Quantum Inf. Process. 12, 773–784 (2013) Luo, M.X., Deng, Y.: Quantum splitting an arbitrary three-qubit state with \(\chi \)-state. Quantum Inf. Process. 12, 773–784 (2013)
47.
Zurück zum Zitat Shi, R.-H., Huang, L.-S., Yang, W., Zhong, H.: Multi-party quantum state sharing of an arbitrary two-qubit state with Bell states. Quantum Inf. Process. 10, 231–239 (2011) Shi, R.-H., Huang, L.-S., Yang, W., Zhong, H.: Multi-party quantum state sharing of an arbitrary two-qubit state with Bell states. Quantum Inf. Process. 10, 231–239 (2011)
48.
Zurück zum Zitat Luo, M.X., et al.: Deterministic remote preparation of an arbitrary W-class state with multiparty. J. Phys. B At. Mol. Opt. Phys. 43, 065501 (2010) Luo, M.X., et al.: Deterministic remote preparation of an arbitrary W-class state with multiparty. J. Phys. B At. Mol. Opt. Phys. 43, 065501 (2010)
49.
Zurück zum Zitat Liu, J.M., Feng, X.L., Oh, C.H.: Remote preparation of arbitrary two- and three-qubit state. Europhys. Lett. 87, 30006 (2009)ADSCrossRef Liu, J.M., Feng, X.L., Oh, C.H.: Remote preparation of arbitrary two- and three-qubit state. Europhys. Lett. 87, 30006 (2009)ADSCrossRef
50.
Zurück zum Zitat Blatt, R., Wineland, D.: Entangled states of trapped atomic ions. Nature 453, 1008 (2008)ADSCrossRef Blatt, R., Wineland, D.: Entangled states of trapped atomic ions. Nature 453, 1008 (2008)ADSCrossRef
51.
Zurück zum Zitat Wei, L.F., Liu, Y.X., Nori, F.: Controllable coupling between flux qubits. Phys. Rev. Lett. 96, 067003 (2006)ADSCrossRef Wei, L.F., Liu, Y.X., Nori, F.: Controllable coupling between flux qubits. Phys. Rev. Lett. 96, 067003 (2006)ADSCrossRef
52.
Zurück zum Zitat Zou, X.B., Pahlke, K., Mathis, W.: Generation of an entangled four-photon W state. Phys. Rev. A 66, 044302 (2002)ADSCrossRef Zou, X.B., Pahlke, K., Mathis, W.: Generation of an entangled four-photon W state. Phys. Rev. A 66, 044302 (2002)ADSCrossRef
53.
Zurück zum Zitat Gonta, D., Fritzsche, S., Radtke, T.: Generation of four-partite Greenberger-Horne-Zeilinger and W states by using a high-finesse bimodal cavity. Phys. Rev. A 77, 062312 (2008)ADSCrossRef Gonta, D., Fritzsche, S., Radtke, T.: Generation of four-partite Greenberger-Horne-Zeilinger and W states by using a high-finesse bimodal cavity. Phys. Rev. A 77, 062312 (2008)ADSCrossRef
54.
Zurück zum Zitat Bao, X.H., et al.: Optical nondestructive controlled-NOT gate without using entangled photons. Phys. Rev. Lett. 98, 170502 (2007)ADSCrossRef Bao, X.H., et al.: Optical nondestructive controlled-NOT gate without using entangled photons. Phys. Rev. Lett. 98, 170502 (2007)ADSCrossRef
55.
Zurück zum Zitat Chen, J., et al.: Demonstration of a quantum controlled-NOT gate in the telecommunications band. Phys. Rev. Lett. 100, 133603 (2008)ADSCrossRef Chen, J., et al.: Demonstration of a quantum controlled-NOT gate in the telecommunications band. Phys. Rev. Lett. 100, 133603 (2008)ADSCrossRef
Metadaten
Titel
Joint remote state preparation of arbitrary two-particle states via GHZ-type states
verfasst von
Jia-Yin Peng
Ming-Xing Luo
Zhi-Wen Mo
Publikationsdatum
01.07.2013
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 7/2013
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-013-0530-z

Weitere Artikel der Ausgabe 7/2013

Quantum Information Processing 7/2013 Zur Ausgabe

Neuer Inhalt