Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Bücher
Zeitschriften
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
MTZ-Fachkongress

Antriebe und Energiesysteme von morgen


Austausch von Automobil- und Energiewirtschaft

Am 14./15. Mai geht es in Chemnitz um die Mobilitätswende durch Elektro- und Wasserstofffahrzeuge.
Erweiterte Suche
Anmelden
nach oben
Quantum Information Processing
Erschienen in: Quantum Information Processing 11/2013

01.11.2013

Shared quantum control via sharing operation on remote single qutrit

verfasst von: Daochu Liu, Yimin Liu, Chuanmei Xie, Xiaofeng Yin, Xiansong Liu, Zhanjun Zhang

Erschienen in: Quantum Information Processing | Ausgabe 11/2013

Einloggen

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

search-config
loading …

Abstract

Two qubit-operation-sharing schemes (Zhang and Cheung in J. Phys. B 44:165508, 2011) are generalized to the qutrit ones. Operations to be shared are classified into three different classes in terms of different probabilities (i.e, 1/3, 2/3 and 1). For the latter two classes, ten and three restricted sets of operations are found out, respectively. Moreover, the two generalized schemes are amply compared from four aspects, namely, quantum and classical resource consumption, necessary-operation complexity, success probability and efficiency. It is found that the second scheme is overall more optimal than the first one as far as three restricted sets of operations are concerned. Moreover, the experimental feasibility of our schemes is confirmed with respect to the nowaday technique.
Vorheriger Artikel Remote information concentration via state: reverse of ancilla-free phase-covariant telecloning
Nächster Artikel Erratum to: Shared quantum control via sharing operation on remote single qutrit

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!

Jetzt informieren

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!

Jetzt informieren

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!

Jetzt informieren
Literatur
1.
2.
Bennett, C.H., Brassard, G., Crépeau, C.: Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels. Phys. Rev. Lett. 70, 1895 (1993)MathSciNetCrossRefADSMATH
3.
Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Experimental quantum teleportation. Nature 390, 575 (1997)CrossRefADS
4.
Deng, F.G., Long, G.L., Liu, X.S.: Secure direct bidirectional communication protocol using the Einstein–Podolsky–Rosen pair block. Phys. Rev. A 68, 042317 (2003)CrossRefADS
5.
Cheung, C.Y., Zhang, Z.J.: Criterion for faithful teleportation with an arbitrary multiparticle channel. Phys. Rev. A 80, 022327 (2009)CrossRefADS
6.
Lo, H.K.: Classical-communication cost in distributed quantum-information processing: a generalization of quantum-communication complexity. Phys. Rev. A 62, 012313 (2000)CrossRefADS
7.
Huelga, S.F., Vaccaro, J.A., Chefles, A.: Quantum remote control: teleportation of unitary operations. Phys. Rev. A 63, 042303 (2001)CrossRefADS
8.
Huelga, S.F., Plenio, M.B., Vaccaro, J.A.: Remote control of restricted sets of operations: teleportation of angles. Phys. Rev. A 65, 042316 (2002)CrossRefADS
9.
10.
Cleve, R., Gottesman, D., Lo, H.K.: How to share a quantum secret. Phys. Rev. Lett. 83, 648 (1999)CrossRefADS
11.
Lance, A.M., Symul, T., Bowen, W.P., Sanders, B.C., Lam, P.K.: Tripartite quantum state sharing. Phys. Rev. Lett. 92, 177903 (2005)CrossRefADS
12.
13.
Zhang, Z.J., Man, Z.X.: Multiparty quantum secret sharing of classical messages based on entanglement swapping. Phys. Rev. A 72, 022303 (2005)MathSciNetCrossRefADS
14.
Deng, F.G., Li, X.H., Zhou, H.Y., Zhang, Z.J.: Improving the security of multiparty quantum secret sharing against Trojan horse attack. Phys. Rev. A 72, 044302 (2005)CrossRefADS
15.
Gaertner, S., Kurtsiefer, C., Bourennane, M., Weinfurter, H.: Experimental demonstration of four-party quantum secret sharing. Phys. Rev. Lett. 98, 020503 (2007)CrossRefADS
16.
Muralidharan, S., Panigrahi, P.K.: Perfect teleportation, quantum-state sharing, and superdense coding through a genuinely entangled five-qubit state. Phys. Rev. A 77, 032321 (2008)CrossRefADS
17.
Muralidharan, S., Panigrahi, P.K.: Quantum-information splitting using multipartite cluster states. Phys. Rev. A 78, 062333 (2008)CrossRefADS
18.
Muralidharan, S., Jain, S., Panigrahi, P.K.: Splitting of quantum information using N-qubit linear cluster states. Opt. Commun. 284, 1082 (2011)CrossRefADS
19.
Choudhury, S., Muralidharan, S., Panigrahi, P.K.: Quantum teleportation and state sharing using a genuinely entangled six-qubit state. J. Phys. A 42, 115303 (2009)MathSciNetCrossRefADS
20.
Saha, D., Panigrahi, P.K.: N-qubit quantum teleportation, information splitting and superdense coding through the composite GHZ-Bell channel. Quantum Inf. Process. 11, 615 (2012)MathSciNetCrossRef
21.
Deng, F.G., Long, G.L.: Secure direct communication with a quantum one-time pad. Phys. Rev. A 69, 052319 (2004)CrossRefADS
22.
Zhang, Z.J., Liu, J., Wang, D., Shi, S.H.: Comment on quantum direct communication with authentication. Phys. Rev. A 75, 026301 (2007)CrossRefADS
23.
Zhu, A.D., Xia, Y., Fan, Q.B., Zhang, S.: Secure direct communication based on secret transmitting order of particles. Phys. Rev. A 73, 022338 (2006)CrossRefADS
24.
Nielsen, M.A.: Optical quantum computation using cluster states. Phys. Rev. Lett. 93, 040503 (2004)CrossRefADS
25.
Briegel, H.J., Raussendorf, R.: Persistent entanglement in arrays of interacting particles. Phys. Rev. Lett. 86, 910 (2001)CrossRefADS
26.
Zhang, Z.J., Cheung, C.Y.: Shared quantum remote control: quantum operation sharing. J. Phys. B 44, 165508 (2011)CrossRefADS
27.
Ye, B.L., Liu, Y.M., Liu, X.S., Zhang, Z.J.: Remotely sharing a single-qubit operation with a five-qubit genuine state. Chin. Phys. Lett. 30, 020301 (2013)CrossRefADS
28.
Ji, Q.B., Liu, Y.M., Yin, X.F., Liu, X.S., Zhang, Z.J.: Quantum operation sharing with symmetric and asymmetric W states. Quantum Inf. Process. 12, 2453 (2013)
29.
Wang, S.F., Liu, Y.M., Chen, J.L., Liu, X.S., Zhang, Z.J.: Deterministic single-qubit operation sharing with five-qubit cluster state. Quantum Inf. Process. 12, 2497 (2013)
30.
Liu, D.C., Liu, Y.M., Yin, X.F., Liu, X.S., Zhang, Z.J.: Generalized three-party qubit operation sharing. Int. J. Quantum Inf. 11, 1350011 (2013)MathSciNetCrossRef
31.
Giampaolo, S.M., Illuminati, F.: Characterization of separability and entanglement in (2D)- and (3D)-dimensional systems by single-qubit and single-qutrit unitary transformations. Phys. Rev. A 76, 042301 (2007)CrossRefADS
32.
Pérez, A.: Information encoding of a qubit into a multilevel environment. Phys. Rev. A 81, 052326 (2010)CrossRefADS
33.
Zhou, J.D., Hou, G., Zhang, Y.D.: Teleportation scheme of S-level quantum pure states by two-level Einstein–Podolsky–Rosen states. Phys. Rev. A 64, 012301 (2001)CrossRefADS
34.
Zeng, B., Zhang, P.: Remote-state preparation in higher dimension and the parallelizable manifold \(S^{n-1}\). Phys. Rev. A 65, 022316 (2002)CrossRefADS
35.
Yu, C.S., Song, H.S., Wang, Y.H.: Remote preparation of a qudit using maximally entangled states of qubits. Phys. Rev. A 73, 022340 (2006)CrossRefADS
36.
Xia, Y., Song, H.S.: Controlled quantum secure direct communication using a non-symmetric quantum channel with quantum superdense coding. Phys. Lett. A 364, 117 (2007)CrossRefADSMATH
37.
Wei, H.R., Ren, B.C., Deng, F.G.: Geometric measure of quantum discord for a two-parameter class of states in a qubit–qutrit system under various dissipative channels. Quantum Inf. Process. 12, 1109 (2013)MathSciNetCrossRefADSMATH
38.
Bogdanski, J., Rafiei, N., Bourennane, M.: Experimental quantum secret sharing using telecommunication fiber. Phys. Rev. A 78, 062307 (2008)CrossRefADS
39.
Zhang, Z.J., Liu, Y.M., Fang, M., Wang, D.: Multiparty quantum secret sharing scheme of classical messages by swapping qudit-state entanglement. Int. J. Theor. Phys. 18, 1885 (2007)ADSMATH
40.
Wang, C., Deng, F.G., Li, Y.S., Liu, X.S., Long, G.L.: Quantum secure direct communication with high-dimension quantum superdense coding. Phys. Rev. A 71, 044305 (2005)CrossRefADS
41.
Chen, Y.Q., et al.: Probabilistic joint remote preparation of a two-particle high-dimensional equatorial state. Opt. Commun. 284, 5031 (2011)CrossRefADS
42.
Chen, L., et al.: Qubit-qudit states with positive partial transpose. Phys. Rev. A 86, 062332 (2012)CrossRefADS
43.
Thew, R. et al.: Experimental realization of entangled qubits quantum communication. Arxiv, preprint quant-ph/0307122 (2003)
44.
Zhukov, A.A., et al.: Operationalistic orthogonality condition for single-mode biphotons (qutrits). JETP Lett. 76, 596 (2002)CrossRefADS
45.
Krivitskii, L.A., et al.: Biphotons as three-level systems: transformation and measurement. JETP Lett. 97, 846 (2003)CrossRef
46.
47.
Wang, Q., et al.: Experimental demonstration of a simple method to engineer a single qutrit state with biphotons. Phys. Lett. A 344, 29 (2005)CrossRefADS
48.
Bartuskova, L., et al.: Optical implementation of the encoding of two qubits to a single qutrit. Phys. Rev. A 74, 022325 (2006)CrossRefADS
49.
Yang, C.P., et al.: Generating entanglement between microwave photons and qubits in multiple cavities coupled by a superconducting qutrit. Phys. Rev. A 87, 022320 (2013)CrossRefADS
50.
Yang, C.P., et al.: Generation of Greenberger–Horne–Zeilinger entangled states of photons in multiple cavities via a superconducting qutrit or an atom through resonant interaction. Phys. Rev. A 86, 022329 (2012)CrossRefADS
51.
Lim, H.T., et al.: Experimental realization of an approximate transpose operation for qutrit systems using a structural physical approximation. Phys. Rev. A 86, 042334 (2012)CrossRefADS
52.
Lapkiewicz, R., et al.: Experimental non-classicality of an indivisible quantum system. Nature 474, 490 (2011)CrossRef
Metadaten
Titel
Shared quantum control via sharing operation on remote single qutrit
verfasst von
Daochu Liu
Yimin Liu
Chuanmei Xie
Xiaofeng Yin
Xiansong Liu
Zhanjun Zhang
Publikationsdatum
01.11.2013
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 11/2013
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-013-0615-8

Weitere Artikel der Ausgabe 11/2013

Quantum Information Processing 11/2013 Zur Ausgabe

OriginalPaper

Dynamics of one-dimensional tight-binding models with arbitrary time-dependent external homogeneous fields

OriginalPaper

Fault tolerant authenticated quantum direct communication immune to collective noises

OriginalPaper

Decoherent dynamics of quantum correlations in qubit–qutrit systems

OriginalPaper

Linear dependencies in Weyl–Heisenberg orbits

Erratum

Erratum to: Shared quantum control via sharing operation on remote single qutrit

OriginalPaper

Multiparty quantum remote control

Neuer Inhalt

    Bildnachweise