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Asymmetric Circular Controlled Quantum State Transmission Scheme in Ideal and Noisy Environment

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Abstract

We present a four-participant scheme for the asymmetric circular controlled quantum states transmission. David is the controller, Alice, Bob and Charlie can complete the transmission of single-qubit, two-qubit and three-qubit states respectively. The scheme is discussed in ideal and noisy environments respectively. In an ideal environment, we first construct a quantum channel by using quantum gate operations. Secondly, the senders and controller choose an appropriate measurement basis to measure their own particles, and the receiver can use appropriate unitary operations to restore the quantum state according to the measurement results. All the measurement results and corresponding recovery operations are given. In the noise environment, we calculate the fidelities of the output states in the amplitude damping and phase damping noise environments, and observe the effect of noise according to the different values of the quantum state coefficient and noise factor. Finally, through the analysis of the scheme performance, it can be seen that our scheme has obvious advantages in quantum state transmission, including increasing the number of quantum state particles transmitted, reducing the consumption of classical communication and higher communication efficiency.

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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, 13, 1895 (1993)

    Article  ADS  MathSciNet  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  3. Pati, A.K.: Minimum classical bit for remote preparation and measurement of a qubit [J]. Phys. Rev. A. 6301(1), 4302–4430 (2001)

    Google Scholar 

  4. Bennett, C.H., Di Vincenzo, D.P., Shor, P.W., et al.: Remote state preparation [J]. Phys. Rev. Lett. 87(7), 077902(1-4) (2001)

    Article  ADS  Google Scholar 

  5. Cao, L.Y., Jiang, M., Chen, C.: Joint remote state preparation of an arbitrary eight-qubit cluster-type state[J]. Pramana: Published by the Indian Academy of Sciences. 94(1) (2020)

  6. Chen, X.B., Sun, Y.R., Xu, G., et al.: Controlled bidirectional remote preparation of three-qubit state [J]. Quantum Inf. Process. 16(10), 244 (2017)

    Article  ADS  MATH  Google Scholar 

  7. Du, Z.L., Li, X.L.: Deterministic joint remote state preparation of four-qubit cluster type with tripartite involvement [J]. Quantum Inf. Process. 19, 10 (2019)

    MathSciNet  Google Scholar 

  8. Cao, T.B., Nguyen, B.A.: Deterministic controlled bidirectional remote state preparation [J]. Adv. Nat. Sci. Nanosci. Nanotechnol. 5(1), 015003 (2013)

    Article  Google Scholar 

  9. Sun, Y-R., Xu, G., Chen, X-B., Yang, Y-X.: Controlled bidirectional remote preparation of single-and two-qubit State. International Conference on Cloud Computing and Security. Springer, Cham. (3), 541–553 (2018)

  10. Sharma, V., Shukla, C., Banerjee, S., et al.: Controlled bidirectional remote state preparation in noisy environment: a generalized view. Quantum Inf. Process. 14(9), 3441–3464 (2015)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  11. Chen, Y.X., Du, J., Liu, S.Y., et al.: Cyclic quantum teleportation [J]. Quantum Inf. Process. 16, 8 (2017)

    Article  ADS  MathSciNet  Google Scholar 

  12. Wang, M M, Yang, C, Mousoli, R. Controlled Cyclic Remote State Preparation of Arbitrary Qubit States [J]. CMC: Computers, Materials & Continua, 55, 2:321–329 (2018)

  13. Peng, J.Y., Lei, H.X.: Cyclic remote state preparation. Int. J. Theor. Phys. 60, 1593–1602 (2021)

    Article  MathSciNet  MATH  Google Scholar 

  14. Sang, Z.W.: Cyclic controlled teleportation by using a seven-qubit entangled state. Int. J. Theor. Phys. 57, 3835–3838 (2018)

    Article  MathSciNet  MATH  Google Scholar 

  15. Sang, Z.-W.: Cyclic controlled joint remote state preparation by using a ten-qubit entangled state [J]. Int. J. Theor. Phys. 58(1), 255–260 (2019)

    Article  MATH  Google Scholar 

  16. Zhang, C.Y., Bai, M.Q., Zhou, S.Q.: Cyclic joint remote state preparation in noisy environment [J]. Quantum Inf. Process. 17(6), 146 (2018)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  17. Zhang, C.Y., Bai, M.Q.: Multi-hop cyclic joint remote state preparation. Int. J. Theor. Phys. 59(4), 1277–1290 (2020)

    Article  MathSciNet  MATH  Google Scholar 

  18. Shao, Z.L., Long, Y.X.: Circular controlled quantum teleportation by a genuine seven-qubit entangled state [J]. Int. J. Theor. Phys. 58(6), 1957–1967 (2019)

    Article  MathSciNet  MATH  Google Scholar 

  19. Sun, S.Y., Li, L.X., Zhang, H.S.: Quantum cyclic controlled teleportation of unknown states with arbitrary number of qubits by using seven-qubit Entangled Channel. Int. J. Theor. Phys. 59(4), 1017–1030 (2020)

    Article  MathSciNet  MATH  Google Scholar 

  20. Sun, S., Zhang, H.: Quantum double-direction cyclic controlled communication via a thirteen-qubit entangled state. Quantum Inf. Process. 19, 120 (2020)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  21. Zhou, R.G., Hou, C.Q.: Cyclic and bidirectional quantum teleportation via Pseudo multi-qubit states. IEEE Access. 7, 42445–42449 (2019)

    Article  Google Scholar 

  22. Jiang, S.X., Zhou, R.G., Xu, R.Q., et al.: Cyclic hybrid Double-Channel quantum communication via bell-state and GHZ-state in Noisy environments. IEEE Access. 7, 80530–80541 (2019)

    Article  Google Scholar 

  23. Choudhury, B.S., Samanta, S.: A controlled protocol for asymmetric cyclic (a→B→C→a) quantum state transfer between three parties [J]. Phys. Scr. 95(1) (2019)

  24. Sharma, V.: Effect of noise on practical quantum communication systems. Def. Sci. J. 66, 2 (2016)

    Article  Google Scholar 

  25. Sharma, V., Banerjee, A.: Analysis of differential phase shift quantum key distribution using single-photon detectors. In: 2022 International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD), pp. 17–18. IEEE (2022). https://doi.org/10.1109/NUSOD54938.2022.9894772

  26. Sharma, V., Banerjee, S.: Quantum communication using code division multiple access network. Opt. Quant. Electron. 52(8), 1–22 (2020)

    Article  Google Scholar 

  27. Sharma, V., Shantanu, G., Gaurav, M., et al.: A quantum-based diagnostics approach for additive manufacturing machine. IET Collaborative Intelligent Manufacturing. 3(2), 184–192 (2021)

    Article  Google Scholar 

  28. Sharma, V., Banerjee, S.: Analysis of quantum key distribution-based satellite communication. In: 2018 9th International Conference on Computing, Communication and Networking Technologies (ICCCNT), pp. 1–5. IEEE (2018). https://doi.org/10.1109/ICCCNT.2018.8494189

  29. Liang, X.T.: Classical information capacities of some single qubit quantum noisy channels [J]. Commun. Theor. Phys. 39, 5, 37 (2003)

    ADS  Google Scholar 

  30. Yuan, H., Liu, Y.M., Zhang, W., et al.: Optimizing resource consumption, operation complexity and efficiency in quantum-state sharing[J]. J. Phys. B Atomic Mol. Phys. 41(14), 145506 (2008)

    Article  ADS  Google Scholar 

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Acknowledgements

This project is supported by the National Natural Science Foundation of China (No. 62202428), the Open Foundation of State key Laboratory of Networking and Switching Technology (Beijing University of Posts and Telecommunications) (SKLNST-2021-1-16), the Key Research and Development Program of Zhejiang Province under Grant 2020C01076 and the National Natural Science Foundation of China (No. 62072404).

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Sun Yi-Ru wrote the main manuscript text and All authors reviewed the manuscript.

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Correspondence to Zhen-Zhen Li.

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Sun, YR., Li, ZZ., Chen, XB. et al. Asymmetric Circular Controlled Quantum State Transmission Scheme in Ideal and Noisy Environment. Int J Theor Phys 62, 71 (2023). https://doi.org/10.1007/s10773-023-05292-1

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