
- 196 pages
- English
- PDF
- Available on iOS & Android
Introduction To Quantum Computers
About this book
Quantum computing promises to solve problems which are intractable on digital computers. Highly parallel quantum algorithms can decrease the computational time for some problems by many orders of magnitude. This important book explains how quantum computers can do these amazing things. Several algorithms are illustrated: the discrete Fourier transform, Shor's algorithm for prime factorization; algorithms for quantum logic gates; physical implementations of quantum logic gates in ion traps and in spin chains; the simplest schemes for quantum error correction; correction of errors caused by imperfect resonant pulses; correction of errors caused by the nonresonant actions of a pulse; and numerical simulations of dynamical behavior of the quantum Control-Not gate. An overview of some basic elements of computer science is presented, including the Turing machine, Boolean algebra, and logic gates. The required quantum ideas are explained.
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Information
Table of contents
- Contents
- Chapter 1 Introduction
- Chapter 2 The Turing Machine
- Chapter 3 Binary System and Boolean Algebra
- Chapter 4 The Quantum Computer
- Chapter 5 The Discrete Fourier Transform
- Chapter 6 Quantum Factorization of Integers
- Chapter 7 Logic Gates
- Chapter 8 Implementation of Logic Gates Using Transistors
- Chapter 9 Reversible Logic Gates
- Chapter 10 Quantum Logic Gates
- Chapter 11 Two and Three Qubit Quantum Logic Gates
- Chapter 12 One-Qubit Rotation
- Chapter 13 Aj – Transformation
- Chapter 14 B jk – Transformation
- Chapter 15 Unitary Transformations and Quantum Dynamics
- Chapter 16 Quantum Dynamics at Finite Temperature
- Chapter 17 Physical Realization of Quantum Computations
- Chapter 18 CONTROL-NOT Gate in an Ion Trap
- Chapter 19 A j and B jk Gates in an Ion Trap
- Chapter 20 Linear Chains of Nuclear Spins
- Chapter 21 Digital Gates in a Spin Chain
- Chapter 22 Non-resonant Action of - Pulses
- Chapter 23 Experimental Logic Gates in Quantum Systems
- Chapter 24 Error Correction for Quantum Computers
- Chapter 25 Quantum Gates in a Two-Spin System
- Chapter 26 Quantum Logic Gates in a Spin Ensemble at Room Temperature
- Chapter 27 Evolution of an Ensemble of Four-Spin Molecules
- Chapter 28 Getting the Desired Density Matrix
- Chapter 29 Conclusion
- Bibliography