Abstract
This is a preliminary version of a book in progress on the theory of quantum
communication. We adopt an information-theoretic perspective throughout and
give a comprehensive account of fundamental results in quantum communication
theory from the past decade (and earlier), with an emphasis on the modern
one-shot-to-asymptotic approach that underlies much of today's state-of-the-art
research in this field. In Part I, we cover mathematical preliminaries and
provide a detailed study of quantum mechanics from an information-theoretic
perspective. We also provide an extensive and thorough review of the quantum
entropy zoo, and we devote an entire chapter to the study of entanglement
measures. Equipped with these essential tools, in Part II we study classical
communication (with and without entanglement assistance), entanglement
distillation, quantum communication, secret key distillation, and private
communication. In Part III, we cover the latest developments in
feedback-assisted communication tasks, such as quantum and classical
feedback-assisted communication, LOCC-assisted quantum communication, and
secret key agreement.
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