Pavicic Quantum Computation and Quantum Communication:

Theory and Experiments
1. Auflage 2007
ISBN: 978-0-387-28900-7
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 223 Seiten

The field of quantum computing has experienced rapid development and many different experimental and theoretical groups have emerged worldwide.This book presents the key elements of quantum computation and communication theories and their implementation in an easy-to-read manner for readers coming from physics, mathematics and computer science backgrounds. Integrating both theoretical aspects and experimental verifications of developing quantum computers, the author explains why particular mathematical methods, physical models and realistic implementations might provide critical steps towards achieving the final goal - constructing quantum computers and quantum networks. The book serves as an excellent introduction for new researchers and also provides a useful review for specialists in the field

Autoren/Hrsg.

Pavicic, Mladen

Inhaltsverzeichnis

1;Contents;6
2;Preface;8
3;Acknowledgments;10
4;Chapter 1 BITS AND QUBITS: THEORY AND ITS IMPLEMENTATION;15
4.1;1.1 The Turing Machine vs. a Computing Machine;15
4.2;1.2 Definition of a Turing Machine;16
4.3;1.3 Turing Computability;18
4.4;1.4 Bit Computability: Boolean Algebra;21
4.5;1.5 Bit Implementation: Transistors and Their Limits;23
4.6;1.6 Irreversible Bits: Logic Gates;26
4.7;1.7 Reversible Gates;28
4.8;1.8 Quantum Bits: Qubits;31
4.9;1.9 Flying Qubits and Circular Polarization;34
4.10;1.10 Superposition of Qubits;36
4.11;1.11 Bra—Ket Qubit Formalism;38
4.12;1.13 Detecting Qubits;41
4.13;1.14 Quantum Gates and Circuits;43
4.14;1.15 Qubit Computation and E- Business;45
4.15;1.16 Numbers and Bits;50
4.16;1.17 Entangled Qubits;53
4.17;1.18 General Single Qubit Formalism;59
4.18;1.19 Other Qubits and Universal Gates;65
4.19;1.20 Teleportation of Copies and the No- Cloning Theorem;70
4.20;1.21 Quantum Cryptography;78
4.21;1.22 Quantum Error Correction;86
4.22;1.23 Unconditional Security of Quantum Cryptography;95
5;Chapter 2 EXPERIMENTS;100
5.1;2.1 Technological Candidates for Quantum Computers;100
5.2;2.2 Zeeman Effects;101
5.3;2.3 Liquid- State Nuclear Magnetic Resonance;107
5.4;2.4 Silicon- Based Nuclear Spins;112
5.5;2.5 Ion Traps;122
5.6;2.6 Future Experiments;136
5.7;2.7 Quantum Communication Implementation;138
6;Chapter 3 PERSPECTIVES;147
6.1;3.1 Quantum Network;149
6.2;3.2 Quantum- Classical Coupling;171
6.3;3.3 Quantum Algorithms;185
6.4;3.4 Quantum Turing Machines vs. Quantum Algebra;202
7;References;210
8;Index;222