Quantum Shannon Theory: Rothschild Distinguished Visiting Fellow Lecture
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If you have a question about this talk, please contact Mustapha Amrani.
Mathematical Challenges in Quantum Information
The notions of channel and capacity are central to the classical Shannon theory. “Quantum Shannon theory” denotes a subfield of quantum information science which uses operator analysis, convexity and matrix inequalities, asymptotic techniques such as large deviations and measure concentration to study mathematical models of communication channels and their informationprocessing performance. From the mathematical point of view quantum channels are normalized completely positive maps of operator algebras, the analog of Markov maps in the noncommutative probability theory, while the capacities are related to certain normlike quantities. In applications noisy quantum channels arise from irreversible evolutions of open quantum systems interacting with environmenta physical counterpart of a mathematical dilation theorem.
This talk is part of the Isaac Newton Institute Seminar Series series.
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