Asymptotics of quantum channels. Amato, D., Facchi, P., & Konderak, A. Journal of Physics A: Mathematical and Theoretical, 56(26):265304, IOP Publishing, jun, 2023. ![Asymptotics of quantum channels [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex We discuss several aspects concerning the asymptotic dynamics of discrete-time semigroups associated with a quantum channel. By using an explicit expression of the asymptotic map, which describes the action of the quantum channel on its attractor manifold, we investigate the role of permutations in the asymptotic dynamics. We show that, in general, they make the asymptotic evolution non-unitary, and they are related to the divisibility of the quantum channel. Also, we derive several results about the asymptotics of faithful and non-faithful channels, and we establish a constructive unfolding theorem for the asymptotic dynamics.
@article{Amato_2023,
doi = {10.1088/1751-8121/acd828},
url = {https://dx.doi.org/10.1088/1751-8121/acd828},
year = {2023},
month = {jun},
publisher = {IOP Publishing},
volume = {56},
number = {26},
pages = {265304},
author = {Daniele Amato and Paolo Facchi and Arturo Konderak},
title = {Asymptotics of quantum channels},
journal = {Journal of Physics A: Mathematical and Theoretical},
abstract = {We discuss several aspects concerning the asymptotic dynamics of discrete-time semigroups associated with a quantum channel. By using an explicit expression of the asymptotic map, which describes the action of the quantum channel on its attractor manifold, we investigate the role of permutations in the asymptotic dynamics. We show that, in general, they make the asymptotic evolution non-unitary, and they are related to the divisibility of the quantum channel. Also, we derive several results about the asymptotics of faithful and non-faithful channels, and we establish a constructive unfolding theorem for the asymptotic dynamics.}
}
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