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9789810234904

Introduction to Quantum Computers

by ; ; ;
  • ISBN13:

    9789810234904

  • ISBN10:

    9810234902

  • Format: Hardcover
  • Copyright: 1998-06-01
  • Publisher: WORLD SCIENTIFIC PUB CO INC

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Supplemental Materials

What is included with this book?

Summary

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 computaters 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 are discussed, including the Turing machine, Boolean algebra, and logic gates. The required quantum ideas are explain.

Table of Contents

Introduction
1(7)
The Turing Machine
8(5)
Binary System and Boolean Algebra
13(7)
The Quantum Computer
20(11)
The Discrete Fourier Transform
31(5)
Quantum Factorization of Integers
36(2)
Logic Gates
38(6)
Implementation of Logic Gates Using Transistors
44(7)
Reversible Logic Gates
51(8)
Quantum Logic Gates
59(5)
Two and Three Qubit Quantum Logic Gates
64(5)
One-Qubit Rotation
69(9)
Aj -- Transformation
78(5)
Bjk -- Transformation
83(2)
Unitary Transformations and Quantum Dynamics
85(5)
Quantum Dynamics at Finite Temperature
90(11)
Physical Realization of Quantum Computations
101(8)
Control-Not Gate in an Ion Trap
109(7)
Aj and Bjk Gates in an Ion Trap
116(4)
Linear Chains of Nuclear Spins
120(4)
Digital Gates in a Spin Chain
124(3)
Non-resonant Action of π-Pulses
127(9)
Experimental Logic Gates in Quantum Systems
136(7)
Error Correction for Quantum Computers
143(11)
Quantum Gates in a Two-Spin System
154(6)
Quantum Logic Gates in a Spin Ensemble at Room Temperature
160(7)
Evolution of an Ensemble of Four-Spin Molecules
167(7)
Getting the Desired Density Matrix
174(4)
Conclusion
178

Supplemental Materials

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

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