NDLI: The quantum dynamic capacity formula of a quantum channel

Content Provider	Springer Nature Link
Author	Wilde, Mark M. Hsieh, Min Hsiu
Copyright Year	2011
Abstract	The dynamic capacity theorem characterizes the reliable communication rates of a quantum channel when combined with the noiseless resources of classical communication, quantum communication, and entanglement. In prior work, we proved the converse part of this theorem by making contact with many previous results in the quantum Shannon theory literature. In this work, we prove the theorem with an “ab initio” approach, using only the most basic tools in the quantum information theorist’s toolkit: the Alicki-Fannes’ inequality, the chain rule for quantum mutual information, elementary properties of quantum entropy, and the quantum data processing inequality. The result is a simplified proof of the theorem that should be more accessible to those unfamiliar with the quantum Shannon theory literature. We also demonstrate that the “quantum dynamic capacity formula” characterizes the Pareto optimal trade-off surface for the full dynamic capacity region. Additivity of this formula reduces the computation of the trade-off surface to a tractable, textbook problem in Pareto trade-off analysis, and we prove that its additivity holds for the quantum Hadamard channels and the quantum erasure channel. We then determine exact expressions for and plot the dynamic capacity region of the quantum dephasing channel, an example from the Hadamard class, and the quantum erasure channel.
Starting Page	1431
Ending Page	1463
Page Count	33
File Format	PDF
ISSN	15700755
Journal	Quantum Information Processing
Volume Number	11
Issue Number	6
e-ISSN	15731332
Language	English
Publisher	Springer US
Publisher Date	2011-09-24
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Quantum communication Quantum Shannon theory Quantum dynamic capacity formula Convex optimization Quantum dynamic capacity region Data Structures, Cryptology and Information Theory Quantum Computing Quantum Information Technology, Spintronics Quantum Physics Mathematical Physics
Content Type	Text
Resource Type	Article
Subject	Statistical and Nonlinear Physics Theoretical Computer Science Signal Processing Electronic, Optical and Magnetic Materials Electrical and Electronic Engineering Modeling and Simulation

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