NMR Quantum Information Processing

1st Edition

Authors: Ivan Oliveira Roberto Sarthour Jr. Tito Bonagamba Eduardo Azevedo Jair C. C. Freitas
Hardcover ISBN: 9780444527820
eBook ISBN: 9780080497525
Imprint: Elsevier Science
Published Date: 2nd May 2007
Page Count: 264
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Description

Quantum Computation and Quantum Information (QIP) deals with the identification and use of quantum resources for information processing. This includes three main branches of investigation: quantum algorithm design, quantum simulation and quantum communication, including quantum cryptography. Along the past few years, QIP has become one of the most active area of research in both, theoretical and experimental physics, attracting students and researchers fascinated, not only by the potential practical applications of quantum computers, but also by the possibility of studying fundamental physics at the deepest level of quantum phenomena.

NMR Quantum Computation and Quantum Information Processing describes the fundamentals of NMR QIP, and the main developments which can lead to a large-scale quantum processor.
The text starts with a general chapter on the interesting topic of the physics of computation. The very first ideas which sparkled the development of QIP came from basic considerations of the physical processes underlying computational actions. In Chapter 2 it is made an introduction to NMR, including the hardware and other experimental aspects of the technique. In Chapter 3 we revise the fundamentals of Quantum Computation and Quantum Information. The chapter is very much based on the extraordinary book of Michael A. Nielsen and Isaac L. Chuang, with an upgrade containing some of the latest developments, such as QIP in phase space, and telecloning. Chapter 4 describes how NMR generates quantum logic gates from radiofrequency pulses, upon which quantum protocols are built. It also describes the important technique of Quantum State Tomography for both, quadrupole and spin 1/2 nuclei. Chapter 5 describes some of the main experiments of quantum algorithm implementation by NMR, quantum simulation and QIP in phase space. The importan

Key Features

  • Presents a large number of problems with solutions, ideal for students
  • Brings together topics in different areas: NMR, nanotechnology, quantum computation
  • Extensive references

Readership

For senior undergraduate students and graduates. It can also be used as a reference book in advanced quantum mechanics courses and will be useful as a reference for research in the area of QIP, and other correlated areas.

Table of Contents

1. Physics, Information and Computation 1.1 Turing machines, logic gates and computers
1.2 Knowledge, statistics and thermodynamics
1.3 Reversible versus irreversible computation
1.4 Landauer's Principle and the Maxwell demon
1.5 Natural phenomena as computing processes: the physical limits of computation
1.6 The Moore's law: quantum computation

2. Nuclear Magnetic Resonance: Basics 2.1 General principles
2.2 Interaction with static magnetic fields
2.3 Interaction with a radiofrequency field - the resonance phenomenon
2.4 Relaxation phenomena
2.5 Density matrix formalism: populations, coherences, and NMR observables
2.6 NMR of non-interacting spins ½
2.7 Nuclear spin interactions
2.8 NMR of two coupled spins ½
2.9 NMR of quadrupolar nuclei
2.10 Density matrix approach to nuclear spin relaxation
2.11 Solid-state NMR
2.12 The experimental setup
2.13 Applications of NMR in science and technology

3. Fundamentals of Quantum Computation and Quantum Information 3.1 Historical development
3.2 The postulates of quantum mechanics
3.3 Classical and quantum bits
3.4 The computational basis and quantum logic gates
3.5 Quantum circuits
3.6 Quantum state tomography
3.7 Entanglement and its applications
3.8 Quantum algorithms
3.9 Quantum simulations
3.10 Quantum information in phase space
3.11 Telecloning

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Details

No. of pages:
264
Language:
English
Copyright:
© Elsevier Science 2007
Published:
Imprint:
Elsevier Science
eBook ISBN:
9780080497525
Hardcover ISBN:
9780444527820

About the Author

Ivan Oliveira

Affiliations and Expertise

Centro Brasileiro De Pesquisas Fisicas, Rio De Janeiro, Brazil

Roberto Sarthour Jr.

Affiliations and Expertise

Centro Brasileiro De Pesquisas Fisicas, Rio de Janeiro, Brazil

Tito Bonagamba

Affiliations and Expertise

Sao Paulo State University At Sao Carlos, Physics and Computing Science Department Sao Paulo, Brazil

Eduardo Azevedo

Affiliations and Expertise

Sao Paulo State University at Sao Carlos, Physics and Computing Science Department, Sao Paulo, Brazil

Jair C. C. Freitas

Affiliations and Expertise

Federal Universitty of Espirito Santo, Brazil

Reviews

Quantum Computation and Quantum Information (QIP) deals with the identification and use of quantum resources for information processing. This includes three main branches of investigation: quantum algorithm design, quantum simulation and quantum communication, including quantum cryptography. Along the past few years, QIP has become one of the most active area of research in both, theoretical and experimental physics, attracting students and researchers fascinated, not only by the potential practical applications of quantum computers, but also by the possibility of studying fundamental physics at the deepest level of quantum phenomena. NMR Quantum Computation and Quantum Information Processing describes the fundamentals of NMR QIP, and the main developments which can lead to a large-scale quantum processor.
The text starts with a general chapter on the interesting topic of the physics of computation. The very first ideas which sparkled the development of QIP came from basic considerations of the physical processes underlying computational actions. In Chapter 2 it is made an introduction to NMR, including the hardware and other experimental aspects of the technique. In Chapter 3 we revise the fundamentals of Quantum Computation and Quantum Information. The chapter is very much based on the extraordinary book of Michael A. Nielsen and Isaac L. Chuang, with an upgrade containing some of the latest developments, such as QIP in phase space, and telecloning. Chapter 4 describes how NMR generates quantum logic gates from radiofrequency pulses, upon which quantum protocols are built. It also describes the important technique of Quantum State Tomography for both, quadrupole and spin 1/2 nuclei. Chapter 5 describes some of the main experiments of quantum algorithm implementation by NMR, quantum simulation and QIP in phase space. The importan