On the Alberti-Uhlmann Condition for Unital Channels

Sagnik Chakraborty; Dariusz Chruściński; Gniewomir Sarbicki; Frederik vom Ende

doi:10.22331/q-2020-11-08-360

On the Alberti-Uhlmann Condition for Unital Channels

Sagnik Chakraborty¹, Dariusz Chruściński¹, Gniewomir Sarbicki¹, and Frederik vom Ende^2,3

¹Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudziądzka 5/7, 87-100 Toruń, Poland
²Department of Chemistry, Technische Universität München, 85747 Garching, Germany
³Munich Centre for Quantum Science and Technology (MCQST), Schellingstr. 4, 80799 München, Germany

Published:	2020-11-08, volume 4, page 360
Eprint:	arXiv:2003.07889v3
Doi:	https://doi.org/10.22331/q-2020-11-08-360
Citation:	Quantum 4, 360 (2020).

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Abstract

We address the problem of existence of completely positive trace preserving (CPTP) maps between two sets of density matrices. We refine the result of Alberti and Uhlmann and derive a necessary and sufficient condition for the existence of a unital channel between two pairs of qubit states which ultimately boils down to three simple inequalities.

► BibTeX data

@article{Chakraborty2020albertiuhlmann,
  doi = {10.22331/q-2020-11-08-360},
  url = {https://doi.org/10.22331/q-2020-11-08-360},
  title = {On the {A}lberti-{U}hlmann {C}ondition for {U}nital {C}hannels},
  author = {Chakraborty, Sagnik and Chru{\'{s}}ci{\'{n}}ski, Dariusz and Sarbicki, Gniewomir and Ende, Frederik vom},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {4},
  pages = {360},
  month = nov,
  year = {2020}
}

► References

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Cited by

[1] Katarzyna Siudzińska, Sagnik Chakraborty, and Dariusz Chruściński, "Interpolating between Positive and Completely Positive Maps: A New Hierarchy of Entangled States", Entropy 23 5, 625 (2021).

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