Quantum Information Processing and Quantum Error Correction: An Engineering Approach

✍ Scribed by Djordjevic, Ivan

• Year: 2012
• Tongue: English
• Leaves: 575
• Category: Library

✦ Synopsis

"Quantum Information Processing and Quantum Error Correction" is a self-contained, tutorial-based introduction to quantum information, quantum computation, and quantum error-correction. Assuming no knowledge of quantum mechanics and written at an intuitive level suitable for the engineer, the book gives all the essential principles needed to design and implement quantum electro...

"Quantum Information Processing and Quantum Error Correction" is a self-contained, tutorial-based introduction to quantum information, quantum computation, and quantum error-correction. Assuming no knowledge of quantum mechanics and written at an intuitive level suitable for the engineer, the book gives all the essential principles needed to design and implement quantum electronic and photonic circuits. Numerous examples from a wide area of application are given to show how the principles can be implemented in practice. This book is ideal for the electronics, photonics and computer engineer who requires an easy-to-understand foundation on the principles of quantum information processing and quantum error correction, together with insight into how to develop quantum electronic and photonic circuits. Readers of this book will be ready for further study in this area, and will be prepared to perform independent research. The reader who completed the book will be able design the information processing circuits, stabilizer codes, Calderbank-Shor-Steane (CSS) codes, subsystem codes, topological codes and entanglement-assisted quantum error correction codes; and propose corresponding physical implementation. The reader who completed the book will be proficient in quantum fault-tolerant design as well. Unique features: unique in covering both quantum information processing and quantum error correction - everything in one book that an engineer needs to understand and implement quantum-level circuits; gives an intuitive understanding by not assuming knowledge of quantum mechanics, thereby avoiding heavy mathematics; in-depth coverage of the design and implementation of quantum information processing and quantum error correction circuits; and provides the right balance among the quantum mechanics, quantum error correction, quantum computing and quantum communication. Dr. Djordjevic is an Assistant Professor in the Department of Electrical and Computer Engineering of College of Engineering, University of Arizona, with a joint appointment in the College of Optical Sciences. Prior to this appointment in August 2006, he was with University of Arizona, Tucson, USA (as a Research Assistant Professor); University of the West of England, Bristol, UK; University of Bristol, Bristol, UK; Tyco Telecommunications, Eatontown, USA; and National Technical University of Athens, Athens, Greece. His current research interests include optical networks, error control coding, constrained coding, coded modulation, turbo equalization, OFDM applications, and quantum error correction. He presently directs the Optical Communications Systems Laboratory (OCSL) within the ECE Department at the University of Arizona. It provides everything an engineer needs in one tutorial-based introduction to understand and implement quantum-level circuits. It avoids the heavy use of mathematics by not assuming the previous knowledge of quantum mechanics. It provides in-depth coverage of the design and implementation of quantum information processing and quantum error correction circuits.

✦ Table of Contents

Copyright
Dedication
Preface
About the Author
References
References
3.1 Single-Qubit Operations
References
4.
Introduction to Quantum Information Processing
References
5.
Quantum Algorithms
References
6.
Classical Error Correcting Codes
6.1 Channel Coding Preliminaries
References
7.
Quantum Error Correction
7.5.4 Generalized Amplitude Damping Channel
References
8.1 Stabilizer Codes
References
9.
Entanglement-Assisted Quantum Error Correction
9.3 General Entanglement-Assisted Quantum Codes
9.5 Operator Quantum Error Correction Codes Subsystem Codes
9.7 Summary
References
10.
Quantum Low-Density Parity-Check Codes
11.
Fault-Tolerant Quantum Error Correction and Fault-Tolerant Quantum Computing
References
12.
Quantum Information Theory
References
13.
Physical Implementations of Quantum Information Processing
References
Quantum Information Processing and Quantum Error Correction: An Engineering Approach
Appendix
A.1 Groups
A.2 Group Acting on the Set
A.3 Group Mapping
A.4 Fields
References
Index
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
Z