NMR Quantum Information Processing
Regular price
64.750 KD
inc. VAT
Couldn't load pickup availability
Table of contents
- Cover
- NMR Quantum Information Processingiii
- Copyright pageiv
- Prefacevii
- Acknowledgmentsix
- Contentsxi
- Brief Historical Survey and Perspectives1
- References6
- Chapter 1. Physics, Information and Computation9
- 1.1 Turing Machines, logic gates and computers9
- 1.2 Knowledge, statistics and thermodynamics15
- 1.3 Reversible versus irreversible computation18
- 1.4 Landauer's principle and the Maxwell demon20
- 1.5 Natural phenomena as computing processes. The physical limits of computation21
- 1.6 Moore's law. Quantum computation24
- Problems with solutions27
- References31
- Chapter 2. Basic Concepts on Nuclear Magnetic Resonance33
- 2.1 General principles33
- 2.2 Interaction with static magnetic fields35
- 2.3 Interaction with a radiofrequency field - the resonance phenomenon38
- 2.4 Relaxation phenomena41
- 2.5 Density matrix formalism: populations, coherences, and NMR observables44
- 2.6 NMR of non-interacting spins 1/247
- 2.7 Nuclear spin interactions52
- 2.8 NMR of two coupled spins 1/261
- 2.9 NMR of quadrupolar nuclei68
- 2.10 Density matrix approach to nuclear spin relaxation73
- 2.11 Solid-state NMR75
- 2.12 The experimental setup79
- 2.13 Applications of NMR in science and technology83
- Problems with solutions83
- References90
- Chapter 3. Fundamentals of Quantum Computation and Quantum Information93
- 3.1 Historical development93
- 3.2 The postulates of quantum mechanics95
- 3.3 Quantum bits96
- 3.4 Quantum logic gates97
- 3.5 Graphical representation of gates and quantum circuits100
- 3.6 Quantum state tomography104
- 3.7 Entanglement106
- 3.8 Quantum algorithms111
- 3.9 Quantum simulations124
- 3.10 Quantum information in phase space125
- 3.11 Determining eigenvalues and eigenvectors130
- Problems with solutions131
- References135
- Chapter 4. Introduction to NMR Quantum Computing137
- 4.1 The NMR qubits137
- 4.2 Quantum logic gates generated by radiofrequency pulses140
- 4.3 Production of pseudo-pure states153
- 4.4 Reconstruction of density matrices in NMR QIP: Quantum State Tomography162
- 4.5 Evolution of Bloch vectors and other quantities obtained from tomographed density matrices168
- Problems with solutions171
- References180
- Chapter 5. Implementation of Quantum Algorithms by NMR183
- 5.1 Numerical simulation of NMR spectra and density matrix calculation along an algorithm implementa183
- 5.2 NMR implementation of Deutsch and Deutsch-Jozsa algorithms185
- 5.3 Grover search tested by NMR187
- 5.4 Quantum Fourier Transform NMR implementation189
- 5.5 Shor factorization algorithm tested in a 7-qubit molecule190
- 5.6 Algorithm implementation in quadrupole systems193
- 5.7 Quantum simulations194
- 5.8 Measuring the discrete Wigner function199
- Problems with solutions201
- References204
- Chapter 6. Entanglement in Liquid-State NMR207
- 6.1 The problem of liquid-state NMR entanglement207
- 6.2 The Peres criterium and bounds for NMR entanglement209
- 6.3 Some NMR experiments reporting pseudo-entanglement211
- Problems with solutions217
- References220
- Chapter 7. Perspectives for NMR Quantum Computation and Quantum Information221
- 7.1 Silicon-based proposals: solution for the scaling problem222
- 7.2 NMR quantum information processing based on Magnetic Resonance Force Microscopy (MRFM)226
- 7.3 Single spin detection techniques: solution for the sensitivity problem231
- 7.4 NMR on a chip: towards the NMR quantum chip integration234
- Problems with solutions236
- References241
- Index243
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 important issue of entanglement in NMR QIP
experiments is discussed in Chapter 6. This has been a particularly exciting topic in the literature. The chapter contains a discussion
on the theoretical aspects of NMR entanglement, as well as some of the main experiments where this phenomenon is reported. Finally, Chapter 7 is an attempt to address the future of NMR QIP, based in
very recent developments in nanofabrication and single-spin detection experiments. Each chapter is followed by a number of problems and solutions.
* Presents a large number of problems with solutions, ideal for students
* Brings together topics in different areas: NMR, nanotechnology, quantum computation
* Extensive references
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 important issue of entanglement in NMR QIP
experiments is discussed in Chapter 6. This has been a particularly exciting topic in the literature. The chapter contains a discussion
on the theoretical aspects of NMR entanglement, as well as some of the main experiments where this phenomenon is reported. Finally, Chapter 7 is an attempt to address the future of NMR QIP, based in
very recent developments in nanofabrication and single-spin detection experiments. Each chapter is followed by a number of problems and solutions.
* Presents a large number of problems with solutions, ideal for students
* Brings together topics in different areas: NMR, nanotechnology, quantum computation
* Extensive references