Accessible coherence in open quantum system dynamics

María García Díaz; Benjamin Desef; Matteo Rosati; Dario Egloff; John Calsamiglia; Andrea Smirne; Michaelis Skotiniotis; Susana F. Huelga

doi:10.22331/q-2020-04-02-249

Accessible coherence in open quantum system dynamics

María García Díaz¹, Benjamin Desef², Matteo Rosati¹, Dario Egloff^2,3, John Calsamiglia¹, Andrea Smirne^2,4, Michaelis Skotiniotis¹, and Susana F. Huelga²

¹Física Teòrica: Informació i Fenòmens Quàntics, Departament de Física, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain
²Institute of Theoretical Physics and IQST, Universität Ulm, Albert-Einstein-Allee 11, D-89069 Ulm, Germany
³Institute of Theoretical Physics, Technical University Dresden, D-01062 Dresden, Germany
⁴Dipartimento di Fisica Aldo Pontremoli, Università degli Studi di Milano, via Celoria 16, 20133 Milan, Italy

Published:	2020-04-02, volume 4, page 249
Eprint:	arXiv:1910.05089v2
Doi:	https://doi.org/10.22331/q-2020-04-02-249
Citation:	Quantum 4, 249 (2020).

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Abstract

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.

► BibTeX data

@article{Diaz2020accessiblecoherence,
  doi = {10.22331/q-2020-04-02-249},
  url = {https://doi.org/10.22331/q-2020-04-02-249},
  title = {Accessible coherence in open quantum system dynamics},
  author = {D{\'{i}}az, Mar{\'{i}}a Garc{\'{i}}a and Desef, Benjamin and Rosati, Matteo and Egloff, Dario and Calsamiglia, John and Smirne, Andrea and Skotiniotis, Michaelis and Huelga, Susana F.},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {4},
  pages = {249},
  month = apr,
  year = {2020}
}

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[1] Si-ren Yang and Chang-shui Yu, "Quantifying dynamical total coherence in a resource non-increasing framework", Quantum Information Processing 22 1, 30 (2022).

[2] Andrea Smirne, Nina Megier, and Bassano Vacchini, "On the connection between microscopic description and memory effects in open quantum system dynamics", Quantum 5, 439 (2021).

[3] Stefano Gherardini, Andrea Smirne, Susana F Huelga, and Filippo Caruso, "Transfer-tensor description of memory effects in open-system dynamics and multi-time statistics", Quantum Science and Technology 7 2, 025005 (2022).

[4] Gerhard Dorn, Enrico Arrigoni, and Wolfgang von der Linden, "Efficient energy resolved quantum master equation for transport calculations in large strongly correlated systems", Journal of Physics A: Mathematical and Theoretical 54 7, 075301 (2021).

[5] 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).

[6] Masaya Takahashi, Swapan Rana, and Alexander Streltsov, "Creating and destroying coherence with quantum channels", Physical Review A 105 6, L060401 (2022).

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