Skip to main content
SpringerLink
Log in

A Note of Coherence for Duality Quantum Computers Acting on Pure States

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

In this paper, we discuss the coherence for duality quantum computers under taking different unitary operators acting on pure states. Firstly, for arbitrary unitary operators, we give some general quantitative results of the coherence of output states. Secondly, for incoherence unitary operators, we obtain that the coherence of output states satisfies an inequality. In addition, we also give a conclusion of the coherence of output states under unitary permutation operators.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1

Similar content being viewed by others

References

  1. Streltsov, A., Adesso, G., Plenio, M.B.: Colloquium : arXiv:quant-ph/1609.02439 (2017)

  2. Aberg, J. arXiv:quant-ph/0612146 (2006)

  3. Baumgratz, T., Cramer, M., Plenio, M.B.: Phys. Rev. Lett. 113(14), 140401 (2014)

    Article  ADS  Google Scholar 

  4. Streltsov, A., Singh, U., Dhar, H.S., et al.: Phys. Rev. Lett. 115(2), 020403 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  5. Yuan, X., Zhou, H., Cao, Z., et al.: Phys. Rev. A 92(2), 022124 (2015)

    Article  ADS  Google Scholar 

  6. Peng, Y., Fan, H. arXiv:quant-ph/1703.09381 (2017)

  7. Shao, L.H., Xi, Z., Fan, H., et al. arXiv:quant-ph/14108327v1 (2015)

  8. Wang, L.L., Chen, Z.L., Wang, W.H., et al.: Int. J. Theor. Phys. 57(3), 771–779 (2018)

    Article  MathSciNet  Google Scholar 

  9. Napoli, C., Bromley, T.R., Cianciaruso, M., et al.: Phys. Rev. Lett. 116 (15), 150502 (2016)

    Article  ADS  Google Scholar 

  10. Piani, M., Cianciaruso, M., Bromley, T.R., et al.: Phys. Rev. A 93, 042107 (2016)

    Article  ADS  Google Scholar 

  11. Bu, K., Singh, U., Fei, S.M., et al.: Phys. Rev. Lett. 119, 150405 (2017)

    Article  ADS  MathSciNet  Google Scholar 

  12. Long, G.L.: Commun. Theor. Phys. 45(5), 825–843 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  13. Gudder, S.: Quantum Inf. Process 6, 37–48 (2007)

    Article  MathSciNet  Google Scholar 

  14. Wang, Y.Q., Du, H.K., Dou, Y.N.: Int. J. Theor. Phys. 47(9), 2268–2278 (2008)

    Article  Google Scholar 

  15. Long, G.L.: Quantum Inf. Process 6(1), 49–54 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  16. Gudder, S.: Int. J. Theor. Phys. 47(1), 268–279 (2008)

    Article  MathSciNet  Google Scholar 

  17. Long, G.L.: Int. J. Theor. Phys. 50(4), 1305–1318 (2011)

    Article  Google Scholar 

  18. Long, G.L., Liu, Y., Wang, C.: Commun. Theor. Phys. 51(1), 65 (2009)

    Article  ADS  Google Scholar 

  19. Cao, H.X., Chen, Z.L., Guo, Z.H., et al.: Sci. China-Phys. Mech. Astron. 55(12), 2452–2462 (2012)

    Article  ADS  Google Scholar 

  20. Cao, H.X., Long, G.L., Guo, Z.H., et al.: Int. J. Theor. Phys. 52(6), 1751–1767 (2013)

    Article  Google Scholar 

  21. Chen, L., Cao, H.X., Meng, H.X.: Quantum Inf. Process 11, 4351–4360 (2015)

    Article  ADS  Google Scholar 

  22. Liu, Y., Cui, J.X.: Quantum Inf. Process 59(19), 2298–2301 (2014)

    Google Scholar 

  23. Wei, S.J., Long, G.L.: Quantum Inf. Process 15(3), 1–24 (2016)

    Article  MathSciNet  Google Scholar 

  24. Wei, S.J., Dong, R., Long, G.L.: Sci. Rep. 6, 30727 (2016)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

The author would like to thank anonymous referees for his/her valuable comments and suggestions which helped to improve the presentation of this paper.

Author information

Authors and Affiliations

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710062, China

    Qiangqiang Zhang, Zhengli Chen & Fengru Yuan

  2. School of Ethnic Education, Shaanxi Normal University, Xi’an, 710062, China

    Wenhua Wang

Authors
  1. Qiangqiang Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhengli Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Fengru Yuan
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Wenhua Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zhengli Chen.

Additional information

This research was partially supported by the National Natural Science Foundation of China(No.11571213, 11601300).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, Q., Chen, Z., Yuan, F. et al. A Note of Coherence for Duality Quantum Computers Acting on Pure States. Int J Theor Phys 57, 3795–3807 (2018). https://doi.org/10.1007/s10773-018-3892-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-018-3892-2

Keywords

Mathematics Subject Classification (2010)

Search

Navigation