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Remote Preparation of Some Three Particle Entangled States Under Divided Information

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Abstract

In this paper we design a protocol for the preparation of a class of three particle entangled states at a distant location in the situation where the information of the state is divided. This situation of shared information is important for security reason since entanglement is considered as a precious quantum resource. We use an eight particle entangled state in our protocol as the quantum resource. The scheme is supervised by a controller.

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References

  1. Bennett, C.H., Brassard, G., Crepeau, 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)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Experimental quantum teleportation. Nature 390(6660), 575–579 (1997)

    Article  ADS  MATH  Google Scholar 

  3. Kim, Y.H., Kulik, S.P., Shis, Y.: Quantum teleportation of a polarization state with a complete Bell-state measurement. Phys. Rev. Lett. 86, 1370 (2001)

    Article  ADS  Google Scholar 

  4. Bao, S.S., Tomita, A.: Teleportation of an unknown state by W-state. Phys. Lett. A 296, 161–164 (2002)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  5. Zhang, Z.J., Man, Z.X.: Many-agent controlled teleportation of multi-qubit quantum information. Phys. Lett. A 341(1), 55–59 (2005)

    Article  ADS  MATH  Google Scholar 

  6. Li, D., Cao, Z.: Teleportation of two-particle entangled state via cluster state. Commun. Theor. Phys. 47, 464–466 (2007)

    Article  ADS  Google Scholar 

  7. Yang, K., Huang, L., Yang, L.W.: Quantum teleportation via GHZ-like state. Int. J. Theor. Phys. 48, 516–521 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  8. Yu, L.Z., Wu, T.: Probabilistic teleportation of three-qubit entangled state via five-qubit cluster state. Int. J. Theor. Phys. 52(5), 1461–1465 (2013)

    Article  MathSciNet  Google Scholar 

  9. Yan, A.: Bidirectional controlled teleportation via six-qubit cluster state. Int. J. Theor. Phys. 52, 3870–3873 (2013). https://doi.org/10.1007/s10773-013-1694-0

    Article  MathSciNet  MATH  Google Scholar 

  10. Nandi, K., Mazumdar, C.: Quantum teleportation of a two qubit state using GHZ-like state. Int. J. Theor. Phys. 53, 1322–1324 (2014)

    Article  MATH  Google Scholar 

  11. Yang, Y-Q., Zha, X.W., Yu, Y.: Asymmetric bidirectional controlled teleportation via seven-qubit cluster state. Int. J. Theor. Phys. 55, 4197–4204 (2016). https://doi.org/10.1007/s10773-016-3044-5

    Article  MATH  Google Scholar 

  12. Li, W., Zha, X.W., Qi, J-X.: Tripartite quantum controlled teleportation via seven-qubit cluster state. Int. J. Theor. Phys. 55, 3927–3933 (2016). https://doi.org/10.1007/s10773-016-3022-y

    Article  MathSciNet  MATH  Google Scholar 

  13. Choudhury, B.S., Samanta, S: Asymmetric bidirectional 3 and 2 qubit teleportation protocol between Alice and Bob via 9-qubit cluster state. Int. J. Theor. Phys. 56, 3285–3296 (2017). https://doi.org/10.1007/s10773-017-3495-3

    Article  MathSciNet  MATH  Google Scholar 

  14. Choudhury, B.S., Samanta, S: Simultaneous perfect teleportation of three 2-qubit states. Quantum Inf. Process. 16, 230 (2017). https://doi.org/10.1007/s11128-017-1680-1

    Article  ADS  MathSciNet  MATH  Google Scholar 

  15. Tan, X., Yang, P., Song, T.: Teleportation of three-particle W state. Int. J. Theor. Phys. 57, 329–338 (2018). https://doi.org/10.1007/s10773-017-3565-6

    Article  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  17. Pati, A.K.: Minimum classical bit for remote preparation and measurement of a qubit. Phys. Rev. A 63, 014302 (2001)

    Article  ADS  Google Scholar 

  18. 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)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  20. 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)

    Article  ADS  Google Scholar 

  21. Wang, D., Liu, Y-M, Zhang, Z-J: Remote preparation of a class of three-qubit states. Opt. Commun. 281, 871–875 (2008)

    Article  ADS  Google Scholar 

  22. Wang, D.: Remote preparation of an arbitrary two-particle pure state via nonmaximally entangled states and positive operator-valued measurement. Int. J. Quantum Inf. 8(8), 1265–1275 (2010)

    Article  MATH  Google Scholar 

  23. Wang, D., Ye, L.: Optimizing scheme for remote preparation of four-particle cluster-like entangled states. Int. J. Theor. Phys. 50, 2748–2757 (2011). https://doi.org/10.1007/s10773-011-0774-2

    Article  MATH  Google Scholar 

  24. Wang, D., Hoehn, R.D., Ye, L., Kais, S.: Generalized remote preparation of arbitrary m-qubit entangled states via genuine entanglements. Entropy 17, 1755–1774 (2015). https://doi.org/10.3390/e17041755

    Article  ADS  Google Scholar 

  25. Wang, D., Hu, Y-D., Wang, Z-Q., Ye, L.: Efficient and faithful remote preparation of arbitrary three- and four-particle W-class entangled states. Quantum Inf. Process. 14(6), 2135–2151 (2015)

    Article  ADS  MATH  Google Scholar 

  26. Wang, D., Hoehn, R.D., Ye, L., Kais, S.: Efficient remote preparation of four-qubit cluster-type entangled states with multi-party over partially entangled channels. Int. J. Theor. Phys. 55(7), 3454–3466 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  27. Wang, D., Huang, A-J., Sun, W-Y., Shi, J-D., Ye, L.: Practical single-photon-assisted remote state preparation with non-maximally entanglement. Quantum Inf. Process. 15(8), 3367–3381 (2016)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  28. Zhang, D., Zha, X.W., Duan, Y-J., Yang, Y-Q.: Deterministic controlled bidirectional remote state preparation via a six-qubit entangled state. Quantum Inf. Process. 15, 2169–2179 (2016). https://doi.org/10.1007/s11128-016-1265-4

    Article  ADS  MathSciNet  MATH  Google Scholar 

  29. Sang, M-h., Nie, L.-P.: Controlled remote state preparation of an arbitrary two-qubit state via a six-qubit cluster state. Int. J. Theor. Phys. 56, 2345–2349 (2017). https://doi.org/10.1007/s10773-017-3388-5

    Article  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  31. An, N.B.: Joint remote preparation of a general two-qubit state. J. Phys. B-At. Mol. Opt. 42(12), 125501 (2009)

    Article  ADS  Google Scholar 

  32. Wang, D., Zha, X.W., Lan, Q.: Joint remote state preparation of arbitrary two-qubit state with six-qubit state. Opt. Commun. 284(24), 5853–5855 (2011)

    Article  ADS  Google Scholar 

  33. Yang, K-Y., Xia, Y.: Joint remote preparation of a general three-qubit state via non-maximally GHZ states. Int. J. Theor. Phys. 51, 1647–1654 (2012). https://doi.org/10.1007/s10773-011-1041-2

    Article  MATH  Google Scholar 

  34. Wang, D., Ye, L.: Probabilistic joint remote preparation of four-cubit cluster-type states with quaternate partially entangled channels. Int. J. Theor. Phys. 51(11), 3376–3386 (2012)

    Article  ADS  MATH  Google Scholar 

  35. Guan, X-W., Chen, X-B., Yang, Y-X.: Controlled-joint remote preparation of an arbitrary two-qubit state via non-maximally entangled channel. Int. J. Theor. Phys. 51, 3575–3586 (2012). https://doi.org/10.1007/s10773-012-1244-1

    Article  MathSciNet  MATH  Google Scholar 

  36. Wang, D., Ye, L.: Joint remote preparation of a class of four-qubit cluster-like states with tripartite entanglements and positive operator-valued measurements. Int. J. Theor. Phys. 52(9), 3075–3085 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  37. Zhan, Y-B., Ma, P.C.: Deterministic joint remote preparation of arbitrary two- and three-qubit entangled states. Quantum Inf. Process. 12, 997–1009 (2013). https://doi.org/10.1007/s11128-012-0441-4

    Article  ADS  MathSciNet  MATH  Google Scholar 

  38. Wang, D., Ye, L.: Multiparty-controlled joint remote state preparation. Quantum Inf. Process. 12(10), 3223–3237 (2013)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  39. Peng, J-Y., Bai, M-Q., Mo, Z-W.: Bidirectional controlled joint remote state preparation. Quantum Inf. Process. 14, 4263–4278 (2015). https://doi.org/10.1007/s11128-015-1122-x

    Article  ADS  MathSciNet  MATH  Google Scholar 

  40. Choudhury, B.S., Dhara, A.: Joint remote state preparation for two-qubit equatorial states. Quantum Inf. Process. 14, 373–379 (2015). https://doi.org/10.1007/s11128-014-0835-6

    Article  ADS  MathSciNet  MATH  Google Scholar 

  41. Liu, W.J., Chen, Z.F., Liu, C., Zheng, Y.: Improved deterministic N-to-one joint remote preparation of an arbitrary qubit via EPR pairs. Int. J. Theor. Phys. 54 (2), 472–483 (2015)

    Article  MATH  Google Scholar 

  42. Ma, P.C., Chen, G-B., Li, X-W., Zhan, Y-B.: Deterministic joint remote preparation of asymmetric five-party three-qubit entangled states. Int. J. Theor. Phys. 56, 1233–1240 (2017). https://doi.org/10.1007/s10773-016-3265-7

    Article  MATH  Google Scholar 

  43. Fu, Y., Yin, H-L., Chen, T-Y., Chen, Z-B.: Long-distance measurement-device-independent multiparty quantum communication. Phys. Rev. Lett. 114(9), 090501 (2015)

    Article  ADS  Google Scholar 

  44. Xu, G., Chen, X-B., Dou, Z., Yang, Y-X., Li, Z.: A novel protocol for multiparty quantum key management. Quantum Inf. Process. 14(8), 2959–2980 (2015)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  45. Ul Ain, N.: A novel approach for secure multi-party secret sharing scheme via quantum cryptography. In: Proceedings of 2017 International Conference on Communication, Computing and Digital Systems, C-CODE 7918912, pp. 112–116 (2017). https://doi.org/10.1109/C-CODE.2017.7918912

  46. Wang, S-S., Xu, G-B., Liang, X-Q., Wu, Y-L.: Multiparty quantum key agreement with four-qubit symmetric W state. Int. J. Theor. Phys. https://doi.org/10.1007/s10773-018-3884-2 (2018)

  47. Yuan, H., Liu, Y.M., Zhang, W., Zhang, Z.J.: Optimizing resource consumption, operation complexity and efficiency in quantum-state sharing. J. Phys. B: At. Mol. Opt. Phys. 41, 145506 (2008)

    Article  ADS  Google Scholar 

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Acknowledgements

This work is supported by the University Grants Commission of India. The valuable suggestions of the referee are gratefully acknowledged.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, B. Garden, Shibpur, Howrah, 711103, West Bengal, India

    Binayak S. Choudhury & Soumen Samanta

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  1. Binayak S. Choudhury
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  2. Soumen Samanta
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Correspondence to Soumen Samanta.

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Choudhury, B.S., Samanta, S. Remote Preparation of Some Three Particle Entangled States Under Divided Information. Int J Theor Phys 58, 83–91 (2019). https://doi.org/10.1007/s10773-018-3911-3

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  • DOI: https://doi.org/10.1007/s10773-018-3911-3

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