Mathematics of Quantum Computing: An Introduction

by Wolfgang Scherer

This textbook presents the elementary aspects of quantum computing in a mathematical form. It is intended as core or supplementary reading for physicists, mathematicians, and computer scientists taking a first course on quantum computing. It starts by introducing the basic mathematics required for quantum mechanics, and then goes on to present, in detail, the notions of quantum mechanics, entanglement, quantum gates, and quantum algorithms, of which Shor's factorisation and Grover's search algorithm are discussed extensively. In addition, the algorithms for the Abelian Hidden Subgroup and Discrete Logarithm problems are presented and the latter is used to show how the Bitcoin digital signature may be compromised. It also addresses the problem of error correction as well as giving a detailed exposition of adiabatic quantum computing. The book contains around 140 exercises for the student, covering all of the topics treated, together with an appendix of solutions.

Genres: Mathematics

783 pages, Hardcover

Published November 22, 2019

Reviews

[Manuel Estrella Gonzalez · Rating 5 out of 5]

El formato del libro se enfoca en un tratamiento para matemáticos, es decir, presentan definiciones, teoremas y sus respectivas demostraciones. Los problemas propuestos pueden parecer básicos pero son bastante divertidos de demostrar.

En síntesis: Buen libro para los sádicos que necesitan una visión formal de la Mecánica Cuántica y que quieren dar el siguiente paso después del Sakurai.

[Alvaro E. · Rating 5 out of 5]

Approachable and very comprehensive large book. Attempts to cover the reader all the way. Still, it calls for a good amount of work and time.