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POVM-induced Coherence Measure in Terms of Fidelity

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Abstract

Coherence theory has been studied for many years. It plays an important role in quantum information and quantum computation. Recently, Bischof established POVM-based coherence measures and POVM-incoherent operations that coincide for the case of von Neumann measurements with their counterparts in standard coherence theory. Following this theoretical framework, we study whether the geometric coherence based on fidelity meet the constraint for quantifying coherence.

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References

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

    Article  ADS  Google Scholar 

  2. Girolami, D.: Phys. Rev. Lett. 113, 170401 (2014)

    Article  ADS  Google Scholar 

  3. Yuan, X., Zhou, H., Cao, Z., Ma, X.: Phys. Rev. A 92, 022124 (2015)

    Article  ADS  Google Scholar 

  4. Winter, A., Yang, D.: Phys. Rev. Lett. 116, 120404 (2016)

    Article  ADS  Google Scholar 

  5. Chitambar, E., Gour, G.: Phys. Rev. Lett. 117, 030401 (2016)

    Article  ADS  Google Scholar 

  6. Streltsov, A., Adesso, G., Plenio, M.B.: Rev. Mod. Phys. 89, 041003 (2017)

    Article  ADS  Google Scholar 

  7. Bu, K., Singh, U., Fei, S.M., Pati, A.K., Wu, J.: . Phys. Rev. Lett. 119, 150405 (2017)

    Article  ADS  MathSciNet  Google Scholar 

  8. Streltsov, A., Kampermann, N., Wolk, S., Gessner, M., Bru\({\mathscr{B}}\), D.: New J. Phys. 20, 053058 (2018)

  9. Xiong, C.H., Wu, J.D.: J. Phys. A: Math. Theor. 51, 414005 (2018)

    Article  Google Scholar 

  10. Aberg, J.: arXiv:quant-ph/0612146

  11. Bischof, F., Kampermann, H., BruB, D.: Phys. Rev. Lett. 123, 110402 (2019)

    Article  ADS  MathSciNet  Google Scholar 

  12. Wilde, M.M.: Proc. R. Soc. A 469, 0259 (2013)

    Article  Google Scholar 

  13. Sparaciari, C., Paris, M.G.A.: Phys. Rev. A 87, 012106 (2013)

    Article  ADS  Google Scholar 

  14. Bischof, F., Kampermann, H., BruB, D.: arXiv:1907.08574 (2019)

  15. Zhang, L., Chen, L., Bu, K.: Quantum Inf Process. 14, 4715–4730 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  16. Streltsov, A., Kampermann, H., Bru\({\mathscr{B}}\), D.: New J. Phys. 12, 12 (2010)

  17. Zhang, Y.J., Han, W., Xia, Y.J., Jiang, K.X., Cao, J.P., Fan, H.: Chin. Phys. B 9 (2014)

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Correspondence to Qiang Lei.

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Lei, Q. POVM-induced Coherence Measure in Terms of Fidelity. Int J Theor Phys 60, 2423–2428 (2021). https://doi.org/10.1007/s10773-020-04585-z

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  • DOI: https://doi.org/10.1007/s10773-020-04585-z

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