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Classical and Quantum Computation (Graduate Studies in Mathematics) By A. Yu. Kitaev, A. H. Shen, M. N. Vyalyi
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Review
The first part of the book ... consists of a compact introduction to classical complexity theory ... provides an elegant summary of the definitions and some of the tools required for the rest of the book ... The book is concluded with the solutions to all (!) exercises ... I liked this book a lot and think that it provides an excellent complement to the existing books on quantum computation ... Big pluses are the rigorous treatment of complexity issues, the introduction of the density matrix formalism early on, and complete solutions to all exercises ... translation has been done remarkably well ... concise ... researchers in the area will like it. --Mathematical Reviews
The aim of the book is to teach the wonders of the qubit-algorithms. While other books, such as Nielsen-Chuang, serve as (more or less) comprehensive references, the present book is focused on complexity. Mathematical prerequisites are minimal, but a reader with some understanding of basic ideas from CS, and quantum theory will get more out of Kitaev, et al ... Really well done, and nicely updated; a handy appendix was added, covering elementary math terms that are used ... The book does a great job in explaining the fundamentals ... The big question is why some qubit-algorithms are a lot better than classical counterparts ... a reader comes away with a good understanding of this in the end. --Palle Jorgensen
Definitions and theorems are stated precisely ... proofs are written with an eye towards rigor ... most mathematicians will feel at home with the presentation of the material ... main points are explained carefully and precisely ... contains a number of exercises, with solutions to all ... well suited to mathematicians interested in quantum algorithms. --MAA Monthly
Language Notes
Text: English (translation)
Original Language: Russian
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