''Quantum Computation and Quantum Information'' is a

textbook A textbook is a book containing a comprehensive compilation of content in a branch of study with the intention of explaining it. Textbooks are produced to meet the needs of educators, usually at educational institutions, but also of learners ( ...

about

quantum information science Quantum information science is a field that combines the principles of quantum mechanics with information theory to study the processing, analysis, and transmission of information. It covers both theoretical and experimental aspects of quantum phys ...

written by Michael Nielsen and Isaac Chuang, regarded as a standard text on the subject. It is informally known as "Mike and Ike", after the candies of that name. The book assumes minimal prior experience with quantum mechanics and with computer science, aiming instead to be a self-contained introduction to the relevant features of both. ( Lov Grover recalls a postdoc disparaging it with the remark, "The book is too elementary – it starts off with the assumption that the reader does not even know quantum mechanics.") The focus of the text is on theory, rather than the experimental implementations of quantum computers, which are discussed more briefly. , the book has been cited over 58,000 times on

Google Scholar Google Scholar is a freely accessible web search engine that indexes the full text or metadata of Academic publishing, scholarly literature across an array of publishing formats and disciplines. Released in Beta release, beta in November 2004, th ...

. In 2019, Nielsen adapted parts of the book for his ''Quantum Country'' project.

Table of Contents (Tenth Anniversary Edition)

* Chapter 1: Introduction and Overview * Chapter 2: Introduction to Quantum Mechanics * Chapter 3: Introduction to Computer Science * Chapter 4: Quantum Circuits * Chapter 5: The

Quantum Fourier Transform In quantum computing, the quantum Fourier transform (QFT) is a linear transformation on qubit, quantum bits, and is the quantum analogue of the discrete Fourier transform. The quantum Fourier transform is a part of many quantum algorithms, notably ...

and its Applications * Chapter 6: Quantum Search Algorithms * Chapter 7: Quantum Computers: Physical Realization * Chapter 8: Quantum Noise and Quantum Operations * Chapter 9: Distance Measures for Quantum Information * Chapter 10: Quantum Error-Correction * Chapter 11:

Entropy Entropy is a scientific concept, most commonly associated with states of disorder, randomness, or uncertainty. The term and the concept are used in diverse fields, from classical thermodynamics, where it was first recognized, to the micros ...

and Information * Chapter 12: Quantum Information Theory * Appendix 1: Notes on Basic

Probability Theory Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expre ...

* Appendix 2:

Group Theory In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field ( ...

* Appendix 3: The Solovay–Kitaev Theorem * Appendix 4:

Number Theory Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example ...

* Appendix 5:

Public Key Cryptography Public-key cryptography, or asymmetric cryptography, is the field of cryptographic systems that use pairs of related keys. Each key pair consists of a public key and a corresponding private key. Key pairs are generated with cryptographic al ...

and the

RSA Cryptosystem The RSA (Rivest–Shamir–Adleman) cryptosystem is a public-key cryptosystem, one of the oldest widely used for secure data transmission. The initialism "RSA" comes from the surnames of Ron Rivest, Adi Shamir and Leonard Adleman, who publicly ...

* Appendix 6: Proof of Lieb's Theorem * Bibliography * Index

Reviews

Peter Shor Peter Williston Shor (born August 14, 1959) is an American theoretical computer scientist known for his work on quantum computation, in particular for devising Shor's algorithm, a quantum algorithm for factoring exponentially faster than the ...

called the text "an excellent book". Lov Grover called it "the bible of the

quantum information Quantum information is the information of the state of a quantum system. It is the basic entity of study in quantum information theory, and can be manipulated using quantum information processing techniques. Quantum information refers to both t ...

field".

Scott Aaronson Scott Joel Aaronson (born May 21, 1981) is an American Theoretical computer science, theoretical computer scientist and Schlumberger Centennial Chair of Computer Science at the University of Texas at Austin. His primary areas of research are ...

said about it, Mike and Ike' as it's affectionately called, remains the quantum computing textbook to which all others are compared." David DiVincenzo said, "More than any of the previous attempts, this book has identified the essential foundations of quantum information theory with a clarity that has even, in a few cases, permitted the authors to obtain some original results and point toward new research directions." A review in the November 2001 edition of ''

Foundations of Physics ''Foundations of Physics'' is a monthly journal "devoted to the conceptual bases and fundamental theories of modern physics and cosmology, emphasizing the logical, methodological, and philosophical premises of modern physical theories and procedur ...

'' says, "Among the handful of books that have been written on this new subject, the present volume is the most complete and comprehensive."

Editions

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References

{{Reflist 2000 non-fiction books 2010 non-fiction books Cambridge University Press books Computer science books Physics textbooks Quantum computing