Mathematics of Quantum Computing An Introduction /

• Main Author: Scherer, Wolfgang (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Subjects: Quantum computers.; Spintronics.; Computers.; Mathematical physics.; Quantum Information Technology, Spintronics.; Quantum Computing.; Theory of Computation.; Theoretical, Mathematical and Computational Physics.

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 q...

Table of Contents:

• Introduction
• Basic Notions of Quantum Mechanics
• Tensor Products and Composite Systems
• Entanglement
• Quantum Gates and Circuits for Elementary Calculations
• On the Use of Entanglement
• Error Correction
• Adiabatic Quantum Computing
• Epilogue Appendices: A Elementary Probability Theory
• B Elementary Arithmetic Operations
• C LANDAU Symbols
• D Modular Arithmetic
• E Continued Fractions
• F Some Group Theory
• G Proof of a Quantum Adiabatic Theorem
• Solutions to Exercises.