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Effect of quantum noise on deterministic joint remote state preparation of a qubit state via a GHZ channel

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Abstract

Quantum secure communication brings a new direction for information security. As an important component of quantum secure communication, deterministic joint remote state preparation (DJRSP) could securely transmit a quantum state with 100 % success probability. In this paper, we study how the efficiency of DJRSP is affected when qubits involved in the protocol are subjected to noise or decoherence. Taking a GHZ-based DJRSP scheme as an example, we study all types of noise usually encountered in real-world implementations of quantum communication protocols, i.e., the bit-flip, phase-flip (phase-damping), depolarizing and amplitude-damping noise. Our study shows that the fidelity of the output state depends on the phase factor, the amplitude factor and the noise parameter in the bit-flip noise, while the fidelity only depends on the amplitude factor and the noise parameter in the other three types of noise. And the receiver will get different output states depending on the first preparer’s measurement result in the amplitude-damping noise. Our results will be helpful for improving quantum secure communication in real implementation.

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References

  1. Bennett, C.H., Brassard, G.: Quantum cryptography: Public key distribution and coin tossing. In: Proceedings of IEEE International Conference on Computers Systems and Signal Processing. IEEE, New York, Bangalore, India, pp. 175–179 (1984)

  2. Hillery, M., Buzek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59(3), 1829 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  3. Terhal, B.M., DiVincenzo, D.P., Leung, D.W.: Hiding bits in bell states. Phys. Rev. Lett. 86(25), 5807 (2001)

    Article  ADS  Google Scholar 

  4. Qu, Z.G., Chen, X.B., Zhou, X.J., Niu, X.X., Yang, Y.X.: Novel quantum steganography with large payload. Opt. Commun. 283(23), 4782 (2010)

    Article  ADS  Google Scholar 

  5. Wang, M.M., Chen, X.B., Yang, Y.X.: A blind quantum signature protocol using the ghz states. Sci. China Phys. Mech. Astron. 56(9), 1636 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  6. Curty, M., Santos, D.J.: Quantum authentication of classical messages. Phys. Rev. A 64(6), 062309 (2001)

    Article  ADS  Google Scholar 

  7. Shamir, A.: How to share a secret. Commun. ACM 22(11), 612 (1979)

    Article  MathSciNet  MATH  Google Scholar 

  8. Xia, Z., Wang, X., Sun, X., Wang, B.: Steganalysis of least significant bit matching using multi-order differences. Secur. Commun. Netw. 7(8), 1283 (2014)

    Article  Google Scholar 

  9. Xia, Z., Wang, X., Sun, X., Liu, Q., Xiong, N.: Steganalysis of LSB matching using differences between nonadjacent pixels. Multimed. Tools Appl. 75(4), 1947 (2016)

    Article  Google Scholar 

  10. Ma, T., Zhou, J., Tang, M., Tian, Y., Al-Dhelaan, A., Al-Rodhaan, M., Lee, S.: Social network and tag sources based augmenting collaborative recommender system. IEICE Trans. Inf. Syst. E98–D(4), 902 (2015)

    Article  ADS  Google Scholar 

  11. Guo, P., Wang, J., Li, B., Lee, S.: A variable threshold-value authentication architecture for wireless mesh networks. J. Internet Technol. 15(6), 929 (2014)

    Google Scholar 

  12. Ren, Y., Shen, J., Wang, J., Han, J., Lee, S.: Mutual verifiable provable data auditing in public cloud storage. J. Internet Technol. 16(2), 317 (2015)

    Google Scholar 

  13. Grover, L.K.: Quantum mechanics helps in searching for a needle in a haystack. Phys. Rev. Lett. 79(2), 325 (1997)

    Article  ADS  Google Scholar 

  14. Xia, Z., Wang, X., Sun, X., Wang, Q.: A secure and dynamic multi-keyword ranked search scheme over encrypted cloud data. IEEE Trans. Parall. Distrib. Syst. 27(2), 340 (2016)

    Article  MathSciNet  Google Scholar 

  15. Fu, Z., Sun, X., Liu, Q., Zhou, L., Shu, J.: Achieving efficient cloud search services: multi-keyword ranked search over encrypted cloud data supporting parallel computing. IEICE Trans. Commun. E98.B(1), 190 (2015)

    Article  ADS  Google Scholar 

  16. Fu, Z., Ren, K., Shu, J., Sun, X., Huang, F.: Enabling personalized search over encrypted outsourced data with efficiency improvement. IEEE Trans. Parall. Distrib. Syst. 1, 1 (2015). doi:10.1109/TPDS.2015.2506573

    Article  Google Scholar 

  17. 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(13), 1895 (1993)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  18. Lo, H.K.: Classical-communication cost in distributed quantum-information processing: a generalization of quantum-communication complexity. Phys. Rev. A 62(1), 012313 (2000)

    Article  ADS  Google Scholar 

  19. Pati, A.K.: Minimum classical bit for remote preparation and measurement of a qubit. Phys. Rev. A 63(1), 14302 (2000)

    Article  Google Scholar 

  20. 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(7), 077902 (2001)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  22. Nguyen, B.A., Kim, J.: Joint remote state preparation. J. Phys. B At. Mol. Opt. Phys. 41(9), 095501 (2008)

    Article  ADS  Google Scholar 

  23. Hou, K., Wang, J., Lu, Y.L., Shi, S.H.: Joint remote preparation of a multipartite ghz-class state. Int. J. Theor. Phys. 48(7), 2005 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  24. 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(23), 4796 (2010)

    Article  ADS  Google Scholar 

  25. Nguyen, B.A.: Joint remote state preparation via w and w-type states. Opt. Commun. 283(20), 4113 (2010)

    Article  Google Scholar 

  26. 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)

    Article  ADS  Google Scholar 

  27. Nguyen, B.A., Cao, T.B., Nung, V.D.: Deterministic joint remote state preparation. Phys. Lett. A 375(41), 3570–3573 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  28. Chen, Q.Q., Xia, Y., Song, J.: Deterministic joint remote preparation of an arbitrary three-qubit state via epr pairs. J. Phys. A Math. Theor. 45, 055303 (2012)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  29. Wang, M.M., Chen, X.B., Yang, Y.X.: Deterministic joint remote preparation of an arbitrary two-qubit state using the cluster state. Commun. Theor. Phys. 59(5), 568 (2013)

    Article  ADS  Google Scholar 

  30. Wang, M.M., Wang, W., Chen, J.G., Farouk, A.: Secret sharing of a known arbitrary quantum state with noisy environment. Quantum Inf. Process. 14(1), 4211 (2015)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  31. Xiang, G.Y., Li, J., Yu, B., Guo, G.C.: Remote preparation of mixed states via noisy entanglement. Phys. Rev. A 72(1), 012315 (2005)

    Article  ADS  Google Scholar 

  32. Chen, A.X., Deng, L., Li, J.H., Zhan, Z.M.: Remote preparation of an entangled state in nonideal conditions. Commun. Theor. Phys. 46(2), 221 (2006)

    Article  ADS  Google Scholar 

  33. Guan, X.W., Chen, X.B., Wang, L.C., Yang, Y.X.: Joint remote preparation of an arbitrary two-qubit state in noisy environments. Int. J. Theor. Phys. 53(7), 2236 (2014)

    Article  MATH  Google Scholar 

  34. Liang, H.Q., Liu, J.M., Feng, S.S., Chen, J.G.: Remote state preparation via a ghz-class state in noisy environments. J. Phys. B At. Mol. Opt. Phys. 44(11), 115506 (2011)

    Article  ADS  Google Scholar 

  35. Liang, H.Q., Liu, J.M., Feng, S.S., Chen, J.G., Xu, X.Y.: Effects of noises on joint remote state preparation via a ghz-class channel. Quantum Inf. Process. 14(10), 3857–3877 (2015)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  36. 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 (2015)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  37. Li, J.F., Liu, J.M., Xu, X.Y.: Deterministic joint remote preparation of an arbitrary two-qubit state in noisy environments. Quantum Inf. Process. 14(9), 3465 (2015)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  38. Liang, X.T.: Classical information capacities of some single qubit quantum noisy channels. Commun. Theor. Phys. 39(5), 537 (2003)

    Article  MathSciNet  Google Scholar 

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Acknowledgments

We thank the anonymous reviewers for their helpful comments. This project was supported by NSFC (Grant Nos. 61601358, 61373131), the Natural Science Basic Research Plan in Shaanxi Province of China (Program No. 2014JQ2-6030), the Scientific Research Program Funded by Shaanxi Provincial Education Department (Program No. 15JK1316), PAPD and CICAEET.

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Authors and Affiliations

  1. School of Computer Science, Xi’an Polytechnic University, Xi’an, 710048, China

    Ming-Ming Wang

  2. Jiangsu Engineering Center of Network Monitoring, Nanjing University of Information Science & Technology, Nanjing, 210044, China

    Ming-Ming Wang & Zhi-Guo Qu

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  1. Ming-Ming Wang
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  2. Zhi-Guo Qu
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Correspondence to Ming-Ming Wang.

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Wang, MM., Qu, ZG. Effect of quantum noise on deterministic joint remote state preparation of a qubit state via a GHZ channel. Quantum Inf Process 15, 4805–4818 (2016). https://doi.org/10.1007/s11128-016-1430-9

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  • DOI: https://doi.org/10.1007/s11128-016-1430-9

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