Top

Quantum Information Processing

Published in:

01-12-2015

Optimal joint remote state preparation of equatorial states

Authors: Xihan Li, Shohini Ghose

Published in: Quantum Information Processing | Issue 12/2015

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

search-config

AI-assisted search

Off

Abstract

We present a scheme for optimal joint remote state preparation of two-qubit equatorial states. Our protocol improves on a previous scheme (Choudhury and Dhara in Quantum Inf Process 14:373–379, 2015) that had a success probability of 25 %, which increased to 50 % when extra classical information is sent to the receiver. We show that using our modified scheme, the desired state can be prepared deterministically with the same quantum channel. Moreover, we generalize the scheme to prepare N-qubit equatorial states in which the receiver can reconstruct the original state with 100 % success probability.

previous article Measurement-device-independent quantum key distribution with q-plate

next article Cryptanalysis and improvement of quantum private comparison of equality protocol without a third party

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!

inform now

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!

inform now

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!

inform now

Lo, H.K.: Classical-communication cost in distributed quantum-information processing: a generalization of quantum-communication complexity. Phys. Rev. A 62, 012313 (2000)CrossRefADS

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)MathSciNetCrossRefADSMATH

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)CrossRefADS

Pati, A.K.: Minimum classical bit for remote preparation and measurement of a qubit. Phys. Rev. A 63, 014302 (2000)MathSciNetCrossRefADS

Devetak, I., Berger, T.: Low-entanglement remote state preparation. Phys. Rev. Lett. 87, 197901 (2001)CrossRefADS

Berry, D.W., Sanders, B.C.: Optimal remote state preparation. Phys. Rev. Lett. 90, 057901 (2003)CrossRefADS

Abeyesinghe, A., Hayden, P.: Generalized remote state preparation: trading cbits, qubits, and ebits in quantum communication. Phys. Rev. A 68, 062319 (2003)CrossRefADS

Leung, D.W., Shor, P.W.: Oblivious remote state preparation. Phys. Rev. Lett. 90, 127905 (2003)CrossRefADS

Ye, M.Y., Zhang, Y.S., Guo, G.C.: Faithful remote state preparation using finite classical bits and a nonmaximally entangled state. Phys. Rev. A 69, 022310 (2004)CrossRefADS

10.

Paris, M.G.A., Cola, M.M., Bonifacio, R.: Remote state preparation and teleportation in phase space. J. Opt. B 5, S360 (2003)CrossRefADS

11.

Xiao, X.Q., Liu, J.M.: Remote preparation of a two-particle entangled state by a bipartite entangled state and a tripartite entangled W state. Commun. Theor. Phys. 47, 247 (2007)CrossRefADSMATH

12.

Dai, H.Y., Chen, P.X., Liang, L.M., Li, C.Z.: Classical communication cost and remote preparation of the four-particle GHZ class state. Phys. Lett. A 355, 285 (2006)CrossRefADS

13.

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

14.

Wang, Z.Y.: Classical communication cost and probabilistic remote two-qubit state preparation via POVM and W-type states. Quantum Inf. Process. 11, 1585 (2012)MathSciNetCrossRefADSMATH

15.

Dai, H.Y., Zhang, M., Kuang, L.M.: Classical communication cost and remote preparation of multi-qubit with three-party. Commun. Theor. Phys. 50, 73 (2008)CrossRefADS

16.

Wei, J., Dai, H.-Y., Zhang, M.: Two efficient schemes for probabilistic remote state preparation and the combination of both schemes. Quantum Inf. Process. 13, 2115 (2014)MathSciNetCrossRefADSMATH

17.

Peng, X.H., Zhu, X.W., Fang, X.M., Feng, M., Liu, M.L., Gao, K.L.: Experimental implementation of remote state preparation by nuclear magnetic resonance. Phys. Lett. A 306, 271–276 (2003)CrossRefADS

18.

Xiang, G.Y., Li, J., Bo, Y., Guo, G.C.: Remote preparation of mixed states via noisy entanglement. Phys. Rev. A 72, 012315 (2005)CrossRefADS

19.

Peters, N.A., Barreiro, J.T., Goggin, M.E., Wei, T.C., Kwiat, P.G.: Remote state preparation: arbitrary remote control of photon polarization. Phys. Rev. Lett. 94, 150502 (2005)CrossRefADS

20.

Liu, W.T., Wu, W., Ou, B.Q., Chen, P.X., Li, C.Z., Yuan, J.M.: Experimental remote preparation of arbitrary photon polarization states. Phys. Rev. A 76, 022308 (2007)CrossRefADS

21.

Rosenfeld, W., Berner, S., Volz, J., Weber, M., Weinfurter, H.: Remote preparation of an atomic quantum memory. Phys. Rev. Lett. 98, 050504 (2007)CrossRefADS

22.

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)CrossRefADS

23.

Killoran, N., Biggerstaff, D.N., Kaltenbaek, R., Resch, K.J., Ltkenhaus, N.: Derivation and experimental test of fidelity benchmarks for remote preparation of arbitrary qubit states. Phys. Rev. A 81, 012334 (2010)CrossRefADS

24.

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)CrossRefADS

25.

Xia, Y., Song, J., Song, H.S.: Multiparty remote state preparation. J. Phys. B At. Mol. Opt. Phys. 40(18), 3719–3724 (2007)CrossRefADS

26.

An, N.B., Kim, J.: Joint remote state preparation. J. Phys. B At. Mol. Opt. Phys. 41, 095501 (2008)CrossRefADS

27.

An, N.B.: Joint remote preparation of a general two-qubit state. J. Phys. B 42, 125501 (2009)CrossRefADS

28.

Zhan, Y.B., Zhang, Q.Y., Shi, J.: Probabilistic joint remote preparation of a high-dimensional equatorial quantum state. Chin. Phys. B 19, 080310 (2010)CrossRefADS

29.

Luo, M.X., Chen, X.B., Ma, S.Y., Niu, X.X., Yang, Y.X.: Joint remote preparation of an arbitrary three-qubit state. Opt. Commun. 283, 4796–4801 (2010)CrossRefADS

30.

Chen, Q.Q., Xia, Y., An, N.B.: Joint remote preparation of an arbitrary three-qubit state via EPR-type pairs. Opt. Commun. 284, 2617–2621 (2011)CrossRefADS

31.

An, N.B., Kim, J.: Collective remote state preparation. Int. J. Quantum Inf. 6, 1051–1066 (2008)CrossRefMATH

32.

An, N.B.: Joint remote state preparation via W and W-type states. Opt. Commun. 283, 4113–4117 (2010)CrossRefADS

33.

Chen, Q.Q., Xia, Y., Song, J., An, N.B.: Joint remote state preparation of a W-type state via W-type states. Phys. Lett. A 374, 4483–4487 (2010)CrossRefADSMATH

34.

Xiao, X.Q., Liu, J.M., Zeng, G.: Joint remote state preparation of arbitrary two- and three-qubit states. J. Phys. B 44, 075501 (2011)CrossRefADS

35.

Peng, J.Y., Luo, M.X., Mo, Z.W.: Joint remote state preparation of arbitrary two-particle states via GHZ-type states. Quantum Inf. Process. 12, 2325–2342 (2013)MathSciNetCrossRefADSMATH

36.

Choudhury, B.S., Dhara, A.: Joint remote state preparation for two-qubit equatorial states. Quantum Inf. Process. 14, 373–379 (2015)MathSciNetCrossRefADSMATH

37.

Wang, Z.Y., Liu, Y.M., Zuo, X.Q., Zhang, Z.J.: Controlled remote state preparation. Commun. Theor. Phys. (Beijing, China) 52, 235–240 (2009)CrossRefADSMATH

38.

Chen, X.B., Ma, S.Y., Yuan, S.Y., Zhang, R., Yang, Y.X.: Controlled remote state preparation of arbitrary two and three qubit states via the Brown state. Quantum Inf. process. 11, 1653–1667 (2012)MathSciNetCrossRefADSMATH

39.

Wang, D., Ye, L.: Multi party-controlled joint remote preparation. Quantum Inf. process. 12, 3223–3237 (2013)MathSciNetCrossRefADSMATH

40.

Wang, C., Zeng, Z., Li, X.H.: Controlled remote state preparation via partially entangled quantum channel. Quantum Inf. process. 14, 1077–1089 (2015)MathSciNetCrossRefADSMATH

41.

An, N.B., Bich, C.T.: Perfect controlled joint remote state preparation independent of entanglement degree of the quantum channel. Phys. Lett. A 378, 3582–3585 (2014)CrossRefADSMATH

42.

Buscemi, F., DAriano, G.M., Macchiavello, C.: economical phase-covariant cloning of qudits. Phys. Rev. A 71, 042327 (2005)CrossRefADS

43.

Rezakhani, A.T., Siadatnejad, S., Ghaderi, A.H.: separability in asymmetric phase-covariant cloning. Phys. Lett. A 336, 278 (2005)CrossRefADSMATH

44.

Li, X.H., Ghose, S.: Control power in perfect controlled teleportation via partially entangled channels. Phys. Rev. A 90, 052305 (2014)CrossRefADS

Title: Optimal joint remote state preparation of equatorial states
Authors: Xihan Li
Shohini Ghose
Publication date: 01-12-2015
Publisher: Springer US
Published in: Quantum Information Processing / Issue 12/2015
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-015-1141-7

Springer Professional

Abstract

Please log in to get access to your license.

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

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"

Other articles of this Issue 12/2015

Probabilistic authenticated quantum dialogue

A general method for selecting quantum channel for bidirectional controlled state teleportation and other schemes of controlled quantum communication

Cryptanalysis and improvement of quantum private comparison of equality protocol without a third party

Monotonicity of the unified quantum (r, s)-entropy and (r, s)-mutual information

Generation of multi-atom entangled states in coupled cavities via transitionless quantum driving

Properties of long quantum walks in one and two dimensions