Holevo Capacity of Discrete Weyl Channels

Holevo capacity is the maximum rate at which a quantum channel can reliably transmit classical information without entanglement. However, calculating the Holevo capacity of arbitrary quantum channels is a nontrivial and computationally expensive task since it requires the numerical optimization over...

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Bibliographic Details
Published in:Scientific reports 2018-11, Vol.8 (1), p.17457-10, Article 17457
Main Authors: ur Rehman, Junaid, Jeong, Youngmin, Kim, Jeong San, Shin, Hyundong
Format: Article
Language:English
Subjects:
639/766/259
639/766/483/481
Computer applications
Humanities and Social Sciences
multidisciplinary
Quantum theory
Science
Science (multidisciplinary)
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Summary:Holevo capacity is the maximum rate at which a quantum channel can reliably transmit classical information without entanglement. However, calculating the Holevo capacity of arbitrary quantum channels is a nontrivial and computationally expensive task since it requires the numerical optimization over all possible input quantum states. In this paper, we consider discrete Weyl channels (DWCs) and exploit their symmetry properties to model DWC as a classical symmetric channel. We characterize lower and upper bounds on the Holevo capacity of DWCs using simple computational formulae. Then, we provide a sufficient and necessary condition where the upper and lower bounds coincide. The framework in this paper enables us to characterize the exact Holevo capacity for most of the known special cases of DWCs.
ISSN:2045-2322
2045-2322
DOI:10.1038/s41598-018-35777-7