Skip to main content
Top
Published in: Quantum Information Processing 11/2017

01-11-2017

Probabilistic resumable bidirectional quantum teleportation

Authors: Yi-Tao Gou, Hai-Long Shi, Xiao-Hui Wang, Si-Yuan Liu

Published in: Quantum Information Processing | Issue 11/2017

Log in

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

search-config
loading …

Abstract

In order to effectively use partially entangled pairs, we consider two kinds of generalized bidirectional quantum teleportation (GBQT) protocols in the different cases: (I) Alice and Bob send messages to each other, and (II) Bob replays Alice after he received Alice’s message, where partially entangled pairs are utilized as the quantum channels. However, the states to be teleported will be destroyed if GBQT fails. To solve this problem, we show an improved project, probabilistic resumable bidirectional quantum teleportation (RBQT), where the states to be teleported can be rebuilt exactly by senders when RBQT has not been successfully achieved. Thus, we are able to carry out RBQT many times until it succeeds, although there are no other copies of the initial states. In RBQT, weak entanglement can also be utilized to bidirectionally teleport unknown states successfully.

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!

Literature
2.
go back to reference Alber, G., Beth, T., Horodecki, M., Horodecki, P., Horodecki, R., Rötteler, M., Weinfurter, H., Werner, R., Zeilinger, A.: Quantum Information: An Introduction to Basic Theoretical Concepts and Experiments. Springer, Berlin (2003)MATH Alber, G., Beth, T., Horodecki, M., Horodecki, P., Horodecki, R., Rötteler, M., Weinfurter, H., Werner, R., Zeilinger, A.: Quantum Information: An Introduction to Basic Theoretical Concepts and Experiments. Springer, Berlin (2003)MATH
3.
go back to reference Albeverio, S., Fei, S.M., Yang, W.L.: Optimal teleportation based on bell measurements. Phys. Rev. A 66(1), 012301 (2002)ADSCrossRef Albeverio, S., Fei, S.M., Yang, W.L.: Optimal teleportation based on bell measurements. Phys. Rev. A 66(1), 012301 (2002)ADSCrossRef
4.
go back to reference Bennett, C.H., Brassard, G., Crpeau, 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)ADSCrossRefMATHMathSciNet Bennett, C.H., Brassard, G., Crpeau, 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)ADSCrossRefMATHMathSciNet
5.
go back to reference Einstein, A., Podolsky, B., Rosen, N.: Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47(10), 777 (1935)ADSCrossRefMATH Einstein, A., Podolsky, B., Rosen, N.: Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47(10), 777 (1935)ADSCrossRefMATH
6.
go back to reference Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Experimental quantum teleportation. Nature 390(6660), 575–579 (1997)ADSCrossRefMATH Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Experimental quantum teleportation. Nature 390(6660), 575–579 (1997)ADSCrossRefMATH
7.
go back to reference Boschi, D., Branca, S., De Martini, F., Hardy, L., Popescu, S.: Experimental realization of teleporting an unknown pure quantum state via dual classical and Einstein–Podolsky–Rosen channels. Phys. Rev. Lett. 80(6), 1121–1125 (1998)ADSCrossRefMATHMathSciNet Boschi, D., Branca, S., De Martini, F., Hardy, L., Popescu, S.: Experimental realization of teleporting an unknown pure quantum state via dual classical and Einstein–Podolsky–Rosen channels. Phys. Rev. Lett. 80(6), 1121–1125 (1998)ADSCrossRefMATHMathSciNet
8.
go back to reference Furusawa, A., Sørensen, J.L., Braunstein, S.L., Fuchs, C.A., Kimble, H.J., Polzik, E.S.: Unconditional quantum teleportation. Science 282(5389), 706–709 (1998)ADSCrossRef Furusawa, A., Sørensen, J.L., Braunstein, S.L., Fuchs, C.A., Kimble, H.J., Polzik, E.S.: Unconditional quantum teleportation. Science 282(5389), 706–709 (1998)ADSCrossRef
9.
go back to reference Banaszek, K.: Optimal quantum teleportation with an arbitrary pure state. Phys. Rev. A 62(2), 024301 (2000)ADSCrossRef Banaszek, K.: Optimal quantum teleportation with an arbitrary pure state. Phys. Rev. A 62(2), 024301 (2000)ADSCrossRef
10.
go back to reference Yu, K.F., Yang, C.W., Liao, C.H., Hwang, T.: Authenticated semi-quantum key distribution protocol using Bell states. Quantum Inf. Process. 13(6), 1457–1465 (2014)ADSCrossRefMathSciNet Yu, K.F., Yang, C.W., Liao, C.H., Hwang, T.: Authenticated semi-quantum key distribution protocol using Bell states. Quantum Inf. Process. 13(6), 1457–1465 (2014)ADSCrossRefMathSciNet
11.
go back to reference Deng, F.G., Li, C.Y., Li, Y.S., Zhou, H.Y., Wang, Y.: Symmetric multiparty-controlled teleportation of an arbitrary two-particle entanglement. Phys. Rev. A 72(2), 022338 (2005)ADSCrossRef Deng, F.G., Li, C.Y., Li, Y.S., Zhou, H.Y., Wang, Y.: Symmetric multiparty-controlled teleportation of an arbitrary two-particle entanglement. Phys. Rev. A 72(2), 022338 (2005)ADSCrossRef
12.
go back to reference Gottesman, D., Chuang, I.L.: Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations. Nature 402(6760), 390–393 (1999)ADSCrossRef Gottesman, D., Chuang, I.L.: Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations. Nature 402(6760), 390–393 (1999)ADSCrossRef
13.
go back to reference Thapliyal, K., Verma, A., Pathak, A.: A general method for selecting quantum channel for bidirectional controlled state teleportation and other schemes of controlled quantum communication. Quantum Inf. Process. 14(12), 4601–4614 (2015)ADSCrossRefMATHMathSciNet Thapliyal, K., Verma, A., Pathak, A.: A general method for selecting quantum channel for bidirectional controlled state teleportation and other schemes of controlled quantum communication. Quantum Inf. Process. 14(12), 4601–4614 (2015)ADSCrossRefMATHMathSciNet
14.
go back to reference Takeda, S., Mizuta, T., Fuwa, M., van Loock, P., Furusawa, A.: Deterministic quantum teleportation of photonic quantum bits by a hybrid technique. Nature 500(7462), 315C318 (2013)CrossRef Takeda, S., Mizuta, T., Fuwa, M., van Loock, P., Furusawa, A.: Deterministic quantum teleportation of photonic quantum bits by a hybrid technique. Nature 500(7462), 315C318 (2013)CrossRef
15.
go back to reference Kim, Y.H., Kulik, S.P., Shih, Y.: Quantum teleportation of a polarization state with a complete Bell state measurement. Phys. Rev. Lett. 86(7), 1370 (2001)ADSCrossRef Kim, Y.H., Kulik, S.P., Shih, Y.: Quantum teleportation of a polarization state with a complete Bell state measurement. Phys. Rev. Lett. 86(7), 1370 (2001)ADSCrossRef
16.
go back to reference Huelga, S.F., Plenio, M.B., Vaccaro, J.A.: Remote control of restricted sets of operations: teleportation of angles. Phys. Rev. A 65(4), 042316 (2002)ADSCrossRef Huelga, S.F., Plenio, M.B., Vaccaro, J.A.: Remote control of restricted sets of operations: teleportation of angles. Phys. Rev. A 65(4), 042316 (2002)ADSCrossRef
17.
go back to reference Huelga, S.F., Vaccaro, J.A., Chefles, A., Plenio, M.B.: Quantum remote control: teleportation of unitary operations. Phys. Rev. A 63(4), 042303 (2001)ADSCrossRefMATH Huelga, S.F., Vaccaro, J.A., Chefles, A., Plenio, M.B.: Quantum remote control: teleportation of unitary operations. Phys. Rev. A 63(4), 042303 (2001)ADSCrossRefMATH
18.
go back to reference Fu, H.Z., Tian, X.L., Hu, Y.: A general method of selecting quantum channel for bidirectional quantum teleportation. Int. J. Theor. Phys. 53(6), 1840–1847 (2014)CrossRefMATH Fu, H.Z., Tian, X.L., Hu, Y.: A general method of selecting quantum channel for bidirectional quantum teleportation. Int. J. Theor. Phys. 53(6), 1840–1847 (2014)CrossRefMATH
19.
go back to reference Sharma, V., Shukla, C., Banerjee, S., Pathak, A.: Controlled bidirectional remote state preparation in noisy environment: a generalized view. Quantum Inf. Process. 14(9), 3441–3464 (2015)ADSCrossRefMATHMathSciNet Sharma, V., Shukla, C., Banerjee, S., Pathak, A.: Controlled bidirectional remote state preparation in noisy environment: a generalized view. Quantum Inf. Process. 14(9), 3441–3464 (2015)ADSCrossRefMATHMathSciNet
20.
go back to reference Prakash, H., Verma, V.: Minimum assured fidelity and minimum average fidelity in quantum teleportation of single qubit using non-maximally entangled states. Quantum Inf. Process. 11(6), 1951–1959 (2012)ADSCrossRefMATHMathSciNet Prakash, H., Verma, V.: Minimum assured fidelity and minimum average fidelity in quantum teleportation of single qubit using non-maximally entangled states. Quantum Inf. Process. 11(6), 1951–1959 (2012)ADSCrossRefMATHMathSciNet
21.
22.
go back to reference Li, W.L., Li, C.F., Guo, G.C.: Probabilistic teleportation and entanglement matching. Phys. Rev. A 61(3), 034301 (2000)ADSCrossRef Li, W.L., Li, C.F., Guo, G.C.: Probabilistic teleportation and entanglement matching. Phys. Rev. A 61(3), 034301 (2000)ADSCrossRef
23.
26.
go back to reference An, N.B.: Probabilistic teleportation of an M-qubit state by a single non-maximally entangled qubit-pair. Phys. Lett. A 372(21), 3778–3783 (2008)ADSCrossRefMATHMathSciNet An, N.B.: Probabilistic teleportation of an M-qubit state by a single non-maximally entangled qubit-pair. Phys. Lett. A 372(21), 3778–3783 (2008)ADSCrossRefMATHMathSciNet
27.
28.
go back to reference Buz̆ek, V., Hillery, M.: Universal optimal cloning of arbitrary quantum states: from qubits to quantum registers. Phys. Rev. Lett. 81(22), 5003 (1998)ADSCrossRef Buz̆ek, V., Hillery, M.: Universal optimal cloning of arbitrary quantum states: from qubits to quantum registers. Phys. Rev. Lett. 81(22), 5003 (1998)ADSCrossRef
29.
go back to reference Brune, M., Hagley, E., Dreyer, J., Maître, X., Maali, A., Wunderlich, C., Raimond, J.M., Haroche, S.: Observing the progressive decoherence of the meter in a quantum measurement. Phys. Rev. Lett. 77(24), 4887 (1996)ADSCrossRef Brune, M., Hagley, E., Dreyer, J., Maître, X., Maali, A., Wunderlich, C., Raimond, J.M., Haroche, S.: Observing the progressive decoherence of the meter in a quantum measurement. Phys. Rev. Lett. 77(24), 4887 (1996)ADSCrossRef
30.
32.
33.
go back to reference Bai, C.H., Wang, D.Y., Hu, S., Cui, W.X., Jiang, X.X., Wang, H.F.: Scheme for implementing multitarget qubit controlled-NOT gate of photons and controlled-phase gate of electron spins via quantum dot-microcavity coupled system. Quantum Inf. Process. 15(4), 1485–1498 (2016)ADSCrossRefMATHMathSciNet Bai, C.H., Wang, D.Y., Hu, S., Cui, W.X., Jiang, X.X., Wang, H.F.: Scheme for implementing multitarget qubit controlled-NOT gate of photons and controlled-phase gate of electron spins via quantum dot-microcavity coupled system. Quantum Inf. Process. 15(4), 1485–1498 (2016)ADSCrossRefMATHMathSciNet
34.
go back to reference De Martini, F., Bužek, V., Sciarrino, F., Sias, C.: Experimental realization of the quantum universal NOT gate. Nature 419(6909), 815–818 (2002)ADSCrossRef De Martini, F., Bužek, V., Sciarrino, F., Sias, C.: Experimental realization of the quantum universal NOT gate. Nature 419(6909), 815–818 (2002)ADSCrossRef
35.
go back to reference DiVincenzo, D.P.: Two-bit gates are universal for quantum computation. Phys. Rev. A 51(2), 1015 (1995)ADSCrossRef DiVincenzo, D.P.: Two-bit gates are universal for quantum computation. Phys. Rev. A 51(2), 1015 (1995)ADSCrossRef
37.
go back to reference Breuer, H.P., Petruccione, F.: The Theory of Open Quantum Systems. Oxford University Press, Oxford (2002)MATH Breuer, H.P., Petruccione, F.: The Theory of Open Quantum Systems. Oxford University Press, Oxford (2002)MATH
38.
go back to reference Schlosshauer, M.: Decoherence, the measurement problem, and interpretations of quantum mechanics. Rev. Mod. Phys. 76(4), 1267 (2005)ADSCrossRef Schlosshauer, M.: Decoherence, the measurement problem, and interpretations of quantum mechanics. Rev. Mod. Phys. 76(4), 1267 (2005)ADSCrossRef
40.
41.
go back to reference Rédei, G.P.: Encyclopedia of Genetics, Genomics, Proteomics, and Informatics. Springer, Houten (2008)CrossRef Rédei, G.P.: Encyclopedia of Genetics, Genomics, Proteomics, and Informatics. Springer, Houten (2008)CrossRef
Metadata
Title
Probabilistic resumable bidirectional quantum teleportation
Authors
Yi-Tao Gou
Hai-Long Shi
Xiao-Hui Wang
Si-Yuan Liu
Publication date
01-11-2017
Publisher
Springer US
Published in
Quantum Information Processing / Issue 11/2017
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-017-1727-3

Other articles of this Issue 11/2017

Quantum Information Processing 11/2017 Go to the issue