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Multiparty Quantum Rotation Operation Sharing

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Abstract

Combining the ideas of quantum state sharing and multi-party quantum remote control, a novel four-participant quantum rotation operation sharing protocol was proposed, which utilizes pre-shared entanglement and local operations. Concretely, using 4-qubit entanglement of Greenberger-Home-Zeilinger (GHZ) type state as quantum channel, the two senders of the protocol can remotely and independently implement various rotation operations on the target state of any site, which requires mutual cooperation between two agents. Moreover, by utilizing (M + N)-qubit GHZ type state as the entanglement channel, the above four-participant situation can be easily generalized to the scenario with M senders and N agents.

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References

  1. Bennett, C. H., Brassard, G., Crépeau, C., et al.: Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 70, 1895–1899 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  2. Hillery, M., Buzek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59, 1829–1834 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  3. Lance, A. M., Symul, T., Bowen, W. P., et al.: Tripartite quantum state sharing. Phys. Rev. Lett. 92, 177903 (2004)

    Article  ADS  Google Scholar 

  4. Wang, X. W., Xia, L. X., Wang, Z. Y., et al.: Hierarchical quantum-information splitting. Opt. Commun. 283, 1196–1199 (2010)

    Article  ADS  Google Scholar 

  5. Shukla, C., Pathak, A.: Hierarchical quantum communication. Phys. Lett. A 377, 1337–1344 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  6. Wang, X. W., Zhang, D. Y., Tang, S. Q., et al.: Multiparty hierarchical quantum-information splitting. J. Phys. B: At. Mol. Opt. Phys. 44, 035505 (2011)

    Article  ADS  Google Scholar 

  7. Huelga, S. F., Vaccaro, J. A., Chefles, A., et al.: Quantum remote control: Teleportation of unitary operations. Phys. Rev. A 63, 042303 (2001)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  Google Scholar 

  9. Wang, A. M.: Remote implementations of partially unknown quantum operations of multiqubits. Phys. Rev. A 74, 032317 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  10. He, Y. H., Lu, Q. C., Liao, Y. M., et al.: Bidirectional controlled remote implementation of an arbitrary single qubit unitary operation with EPR and cluster states. Int. J. Theor. Phys. 54, 1726–1736 (2015)

    Article  Google Scholar 

  11. Peng, J. Y., He, Y.: Cyclic controlled remote implementation of partially unknown quantum operations. Int. J. Theor. Phys. 58, 3065–3072 (2019)

    Article  MathSciNet  Google Scholar 

  12. Luo, M. X., Wang, X.: Universal remote quantum computation assisted by the Cavity input-output process. Proc Royal Society of London A 471, 20150274 (2015)

    ADS  Google Scholar 

  13. Luo, M. X., Deng, Y., Wang, X.: Distributed photonic quantum computations assisted by atomic ensembles. IEEE J. Quantum Electr. 52, 16089601 (2016)

    Article  Google Scholar 

  14. Xiang, G. Y., Li, J., Guo, G. C.: Teleporting a rotation on remote photons. Phys. Rev. A 71, 044304 (2005)

    Article  ADS  Google Scholar 

  15. Huang, Y. F., Ren, X. F., Zhang, Y. S., et al.: Experimental teleportation of a quantum controlled-NOT gate. Phys. Rev. Lett. 93, 240501 (2004)

    Article  ADS  Google Scholar 

  16. Zhang, Z. J., Cheung, C. Y.: Shared quantum remote control: quantum operation sharing. J. Phys. B: At. Mol. Opt. Phys. 44, 165508 (2011)

    Article  ADS  Google Scholar 

  17. Ye, B. L., Liu, Y. M., Liu, X. S., et al.: Remotely sharing a single-qubit operation with a five-qubit genuine state. Chin. Phys. Lett. 30, 020301 (2013)

    Article  ADS  Google Scholar 

  18. Liu, D., Liu, Y., Yin, X., et al.: Generalized three-party qubit operation sharing. Int. J. Quantum Inf. 11, 1350011 (2013)

    Article  MathSciNet  Google Scholar 

  19. Wang, S., Liu, Y., Chen, J., et al.: Deterministic single-qubit operation sharing with five-qubit cluster state. Quantum Inf. Process. 12, 2497–2507 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  20. Xing, H., Liu, Y., Xie, C., et al.: Four-party deterministic operation sharing with six-qubit cluster state. Quantum Inf. Process. 13, 1553–1562 (2014)

    Article  ADS  MathSciNet  Google Scholar 

  21. Xiao, L., Long, G. L., Deng, F. G., et al.: Efficient multiparty quantum-secret-sharing schemes. Phys. Rev. A 69, 052307 (2004)

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  23. Peng, J. Y., Bai, M. Q., Mo, Z. W.: Joint remote state preparation of a four-dimensional quantum state. Chin. Phys. Lett. 31, 010301 (2014)

    Article  ADS  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. 83, 4796–4801 (2010)

    Article  ADS  Google Scholar 

  25. Gao, T., Yan, F. L., Wang, Z. X.: Controlled quantum teleportation and secure direct communication. Chin. Phys. B 14, 893–897 (2005)

    Article  Google Scholar 

  26. Wang, J., Zhang, Q., Tang, C. J.: Multiparty controlled quantum secure direct communication using Greenberger-Horne-Zeilinger state. Opt. Commun. 266, 732–737 (2006)

    Article  ADS  Google Scholar 

  27. Luo, M. X.: Computationally efficient nonlinear bell inequalities for quantum networks. Phys. Rev. Lett. 120, 140402 (2018)

    Article  ADS  MathSciNet  Google Scholar 

  28. Luo, M. X.: A nonlocal game for witnessing quantum networks. npj Quantum Infor. 5, 91 (2019)

    Article  ADS  Google Scholar 

  29. Luo, M. X.: New genuinely multipartite entanglement. Adv. Quantum Tech. 4, 2000123 (2021)

    Article  Google Scholar 

  30. Chen, Y. T., Hwang, T.: Multiparty quantum remote control. Quantum Inf. Process. 12, 3545–3552 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  31. Wang, A. M.: Combined and controlled remote implementations of partially unknown quantum operations of multiqubits using Greenberger-Horne-Zeilinger states. Phys. Rev. A 75, 062323 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  32. Dash, T., Sk, R., Panigrahi, P. K.: Deterministic joint remote state preparation of arbitrary two-qubit state through noisy cluster-GHZ channel. Opt. Commun. 464, 125518 (2020)

    Article  Google Scholar 

  33. Zhang, Z. J., Yang, J., Man, Z. X., et al.: Multiparty secret sharing of quantum information using and identifying Bell states. Eur. Phys. J. D 33, 133–136 (2005)

    Article  ADS  Google Scholar 

  34. Li, C. Y., Li, X. H., Deng, F. G., et al.: Efficient quantum cryptography network without entanglement and quantum memory. Chin. Phys. Lett. 23, 2896–2899 (2006)

    Article  ADS  Google Scholar 

  35. Luo, M. X., Wang, X.: Universal quantum computation based on qudits, Science China Physics. Mechanics & Astronomy 57, 1712–1717 (2014)

    Article  Google Scholar 

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Acknowledgements

This work is supported by Natural Science Foundation of China (No.11071178, 11671284), Sichuan Science and Technology Program (No.2020YFG0290) and Sichuan Province Education Department Scientific Research Innovation Team Foundation (NO.15TD0027). Meanwhile, all authors are very grateful to the reviewers for their valuable comments and suggestions.

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Authors and Affiliations

  1. Institute of Intelligent Information and Quantum Information, Sichuan Normal University, Chengdu, 610066, China

    Jia-Yin Peng & Yi Xiang

  2. College of Mathematics and Information Science, Neijiang Normal University, Neijiang, 641100, China

    Jia-Yin Peng

  3. College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, 643000, China

    Yi Xiang

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  1. Jia-Yin Peng
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  2. Yi Xiang
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Correspondence to Jia-Yin Peng.

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Peng, JY., Xiang, Y. Multiparty Quantum Rotation Operation Sharing. Int J Theor Phys 60, 3771–3782 (2021). https://doi.org/10.1007/s10773-021-04942-6

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