Quantum Computation and Quantum Information

Author: Michael A. Nielsen, Isaac L. Chuang
List Price: $65.00
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ISBN: 0521635039
Publisher: Cambridge University Press (September, 2000)
Edition: Paperback
Sales Rank: 30,743
Average Customer Rating: 4.14 out of 5

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Customer Reviews

Rating: 5 out of 5
Wonderful coverage and approach
This is the textbook for a course offered in CS at the University of Chicago. As a chemist, I found the introduction and Chapter 3 to be a an excellent introduction to the ideas from classical computation theory needed to understand quantum computation. I also found Chapter 2 to be one of the better introductions to quantum mechanics I have seen. Qubits are an excellent basis (unintended joke) for learning quantum mechanics on. I've checked out a few books on the subject and have found no finer book for anyone-chemist, physicist, mathematician, computer scientist-to learn quantum computing.


Rating: 5 out of 5
Excellent for startup and self-study on QC
I'm an undergraduate student in Computer Science, doing my Diploma (BS/MS) thesis on Quantum Computing and Algorithms. One year has passed since I bought this book and I must say that Nielsen and Chuang did an excellent job! The book is outstanding in way of a global approach to the subject. If you are computer scientist, mathematician or physicist and you want some startup information, this is the book you are looking for! Although, the book doesn't assume that you have appropriate background on mathematics or computer science, it will be good that you have some affiliation with linear algebra, tensor calculus and basic computational complexity concepts. The book is excellent for self study and research, containing many exercises. If you want to get into Quantum computing, this could be your first option including some lectures by: Vazirani on Berkeley, Preskill on Calteh and Short Course on Quantum Computing (AMS).

If you are an advanced undergraduate or graduate student, I will prefer Classical and Quantum Computing (AMS) by Kitaev, Shen and Vyalyi. This book will give you mathematical approach on computational complexity-classical computing (first 50 pages), which is needed to continue and understand further concepts of quantum complexity classes and quantum algorithms. Currently, I'm using both books, Kitaev's and Chuang's, and this is an excellent combination. Lot's of mathematics and ideas is covered by these books.

Chuang's and Nielsen's book is something what is worth to have in your library because it represents an information treasure not only on quantum computing but also on quantum information processing experiments and quantum cryptology.


Rating: 5 out of 5
Interdisciplinary!
Classical computation follows the model of A. Turing,-- strings of bits, i.e., 0s and 1s; a mathematical model, now called the Turing mashine. Analogues based instead on two-level quantum systems were suggested in the 1980ties by R.P. Feynman and D. Deutsch. But it wasn't until Peter Shor's qubit-factoring algorithm in the mid 1990ties that the subject really took off, and really caught the attention of the math community. That there is a polynomial factoring algorithm shook the encryption community as well, for obvious reasons. New elements of thinking in the quantum realm, and not part of the classical framework, include superposition of (quantum) states, and (quantum) coherence. This makes a drastic change in the whole theoretical framework when one passes from the classical notion of bit-registers to that of qubit-registers. In passing from logic gates to quantum gates(unitary matrices), the concept of switching networks changes. It introduces new challenges, and new truely exciting opportunities. It is not easy for authors to make everyone happy;-- this is especially so in a new field,--one which has grabbed headlines, and one which is at the same time interdisiplinary. In this case, the authors succeed as well as anyone, I believe.-- This lovely book covers several of the appropriate areas of physics (quantum theory, (some) experiment...), of computer science (the mathematical side of the subject), and of math (operators in Hilbert space, and the theory of algorithms);-- each member of the particular scientific specialty has very definite ideas of his/her own subject,-- and that of the others. Nonetheless, in this readers opinion, the two authors did a great job;-- they explain math to the physics community,-- and they sucessfully teach quantum theory and theoretical CS to mathematicians. The book is suitable for grad students: has lots of great exercises, but it could perhaps have used some more worked examples. (Fortunately they can be found in other books on quantum computation.) The Nielsen-Chuang book is most certainly a great entry for students into this exciting new subject. There are other books,-- but they, for the most part, take a more narrow view. The material in Nielsen-Chuang is timeless,-- and I expect the book will also be popular ten years from now.

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