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This article is cited in 5 scientific papers (total in 5 papers)
On lower semicontinuity of the entropic disturbance and its applications in quantum information theory
M. E. Shirokov, A. S. Holevo Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Abstract:
We consider an important characteristic of a quantum
channel called the entropic disturbance. It is defined
as the difference between the $\chi$-quantity of a generalized
ensemble and that of the image of the ensemble under the channel.
We prove the lower semicontinuity of the entropic disturbance for any
infinite-dimensional quantum channel on its natural domain.
A number of useful corollaries of this property are established,
in particular, the existence of a $\chi$-optimal ensemble
for any quantum channel and the continuity of the output
$\chi$-quantity under the energy-type input constraint.
Keywords:
von Neumann entropy, $\chi$-quantity, ensemble of quantum states,
quantum channel, classical capacity.
Received: 13.01.2017
Citation:
M. E. Shirokov, A. S. Holevo, “On lower semicontinuity of the entropic disturbance and its applications in quantum information theory”, Izv. RAN. Ser. Mat., 81:5 (2017), 165–182; Izv. Math., 81:5 (2017), 1044–1060
Linking options:
https://www.mathnet.ru/eng/im8609https://doi.org/10.1070/IM8609 https://www.mathnet.ru/eng/im/v81/i5/p165
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Abstract page: | 560 | Russian version PDF: | 31 | English version PDF: | 6 | References: | 55 | First page: | 18 |
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