Quantum coherence generated in a physical process can only be cast as a potentially useful resource if its effects can be detected at a later time. Recently, the notion of non-coherence-generating-and-detecting (NCGD) dynamics has been introduced and related to the classicality of the statistics associated with sequential measurements at different times. However, in order for a dynamics to be NCGD, its propagators need to satisfy a given set of conditions for $all$ triples of consecutive times. We reduce this to a finite set of $d(d-1)$ conditions, where $d$ is the dimension of the quantum system, provided that the generator is time-independent. Further conditions are derived for the more general time-dependent case. The application of this result to the case of a qubit dynamics allows us to elucidate which kind of noise gives rise to non-coherence-generation-and-detection.
 G. Tóth and I. Apellaniz, J. Phys. A: Math. and Theor. 47, 424006 (2014).
 T. Baumgratz, M. Cramer, and M. B. Plenio, Phys. Rev. Lett. 113, 140401 (2014).
 A. Winter and D. Yang, Phys. Rev. Lett. 116, 120404 (2016).
 T. Theurer, D. Egloff, L. Zhang, and M. B. Plenio, Phys. Rev. Lett. 122, 190405 (2019).
 Y. Liu and X. Yuan, Phys. Rev. Research 2, 012035 (2020).
 G. Gour and A. Winter, Phys. Rev. Lett. 123, 150401 (2019).
 A. Smirne, D. Egloff, M. García Díaz, M. B. Plenio, and S. F. Huelga, Quantum Science and Technology 4, 01LT01 (2018).
 B.-G. Englert and G. Morigi, ``Coherent evolution in noisy environments,'' (Springer-Verlag, 2002) Chap. Five Lectures on Dissipative Master Equations, pp. 55–106.
 E. Chitambar and G. Gour, Phys. Rev. Lett. 117, 030401 (2016).
 Z.-W. Liu, X. Hu, and S. Lloyd, Phys. Rev. Lett. 118, 060502 (2017).
 S. Swain, J. Phys. A: Math. Gen. 14, 2577 (1981).
 W. Feller, An introduction to probability theory and its applications, Vol. 2 (John Wiley & Sons Inc., New York, 1971).
 C. Emary, N. Lambert, and F. Nori, Reports on Progress in Physics 77, 016001 (2014).
 A. Smirne, T. Nitsche, D. Egloff, S. Barkhofen, S. De, I. Dhand, C. Silberhorn, S. F. Huelga, and M. B. Plenio, ``Experimental Control of the Degree of Non-Classicality via Quantum Coherence,'' (2019), arXiv:1910.11830 [quant-ph].
 S. Milz, D. Egloff, P. Taranto, T. Theurer, M. B. Plenio, A. Smirne, and S. F. Huelga, ``When is a non-Markovian quantum process classical?'' (2019), arXiv:1907.05807 [quant-ph].
 J. Segercrantz, The American Mathematical Monthly 99, 42 (1992).
 R. Chaves, J. B. Brask, M. Markiewicz, J. Kołodyński, and A. Acín, Phys. Rev. Lett. 111, 120401 (2013).
 A Smirne, T Nitsche, D Egloff, S Barkhofen, S De, I Dhand, C Silberhorn, S F Huelga, and M B Plenio, "Experimental control of the degree of non-classicality via quantum coherence", Quantum Science and Technology 5 4, 04LT01 (2020).
The above citations are from Crossref's cited-by service (last updated successfully 2021-01-15 20:44:31). The list may be incomplete as not all publishers provide suitable and complete citation data.
On SAO/NASA ADS no data on citing works was found (last attempt 2021-01-15 20:44:31).
This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Copyright remains with the original copyright holders such as the authors or their institutions.