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More About Robustness of Coherence

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Abstract

Quantum coherence is an important physical resource in quantum computation and quantum information processing. In this paper, the distribution of the robustness of coherence in multipartite quantum system is considered. It is shown that the additivity of the robustness of coherence is not always valid for general quantum state, but the robustness of coherence is decreasing under partial trace for any bipartite quantum system. The ordering states with the coherence measures RoC, the l1 norm of coherence \(C_{l_{1}}\) and the relative entropy of coherence C r are also discussed.

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References

  1. Baumgratz, T., Cramer, M., Plenio, M.B.: Quantifying coherence. Phys. Rev. Lett. 113, 140401 (2014)

    Article  ADS  Google Scholar 

  2. Levi, F., Mintert, F.: A quantitative theory of coherent delocalization. New J. Phys. 16, 033007 (2014)

    Article  ADS  Google Scholar 

  3. Bromley, T.R., Cianciaruso, M., Adesso, G.: Frozen quantum coherence. Phys. Rev. Lett. 114, 210401 (2015)

    Article  ADS  Google Scholar 

  4. Streltsov, A., Singh, U., Dhar, H.S., Bera, M.N., Adesso, G.: Measuring quantum coherence with entanglement. Phys. Rev. Lett. 115, 020403 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  5. Yuan, X., Zhou, H., Cao, Z., Ma, X.: Intrinsic randomness as a measure of quantum coherence. Phys. Rev. A 92, 022124 (2015)

    Article  ADS  Google Scholar 

  6. Korzekwa, K., Lostaglio, M., Oppenheim, J., Jennings, D.: The extraction of work from quantum coherence. New J. Phys. 18, 023045 (2016)

    Article  ADS  Google Scholar 

  7. Xi, Z., Li, Y., Fan, H.: Quantum coherence and correlations in quantum system. Sci. Rep. 5, 10922 (2015)

    Article  ADS  Google Scholar 

  8. Liu, F., Li, F., Chen, J., Xing, W.: Uncertainty-like relations of the relative entropy of coherence. Quantum Inf. Process. 15, 3459 (2016)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  9. Girolami, D.: Observable measure of quantum coherence in finite dimensional systems. Phys. Rev. Lett. 113, 170401 (2014)

    Article  ADS  Google Scholar 

  10. Napoli, C., Bromley, T.R., Cianciaruso, M., Piani, M., Johnston, N., Adesso, G.: Robustness of coherence: an operational and observable measure of quantum coherence. Phys. Rev. Lett. 116, 150502 (2016)

    Article  ADS  Google Scholar 

  11. Wang, Y.T., Tang, J.S., Wei, Z.Y., Yu, S., Ke, Z.J., Xu, X.Y., Li, C.F., Guo, G.C.: Phys. Rev. Lett. 118, 020403 (2017)

    Article  ADS  MathSciNet  Google Scholar 

  12. Nielsen, M.A., Chang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2001)

    Google Scholar 

  13. Piani, M., Cianciaruso, M., Bromley, T.R., Napoli, C., Johnston, N., Adesso, G.: Phys. Rev. A 93, 042107 (2016)

    Article  ADS  Google Scholar 

  14. Liu, F., Li, F.: Super-additivity relations and decay of the l 1 norm of coherence. Int. J. Theor. Phys. 56, 494 (2017)

    Article  MATH  Google Scholar 

  15. Liu, C.L., Yu, X.-D., Xu, G.F., Tong, D.M.: Ordering states with coherence measures. Quantum Inf. Process. 15, 4189 (2016)

    Article  ADS  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgments

This work is supported by NSFC (Grant Nos. 61202475, 11501404, 61771294, 61501100) and Shandong Provincial Natural Science Foundation, China (Grant No. ZR2015FQ006) and Higher Educational Science and Technology Program of Hebei Province (Grant No. QN2015303).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Northeastern University at Qinhuangdao, Qinhuangdao, 066004, China

    Pi-Yu Li & Yan-Qin Xu

  2. College of Mathematic and Information Science, Shandong Technology and Business University, Yantai, 264005, China

    Feng Liu

  3. School of Computer and Communication Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, 066004, China

    Dong-Sheng La

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  1. Pi-Yu Li
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  2. Feng Liu
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  3. Yan-Qin Xu
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  4. Dong-Sheng La
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Correspondence to Pi-Yu Li.

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Li, PY., Liu, F., Xu, YQ. et al. More About Robustness of Coherence. Int J Theor Phys 57, 1929–1934 (2018). https://doi.org/10.1007/s10773-018-3717-3

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  • DOI: https://doi.org/10.1007/s10773-018-3717-3

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