Review of the 2nd Edition: "This is a nice collection of standard problems and solutions, the latter being formulated on a level as elementary as possible. So it is especially useful for students who want to become acquainted with quantum information and computation. It is also useful for lecturers when they have to prepare exercises." Zentralblatt MATH Quantum computing and quantum information are two of the fastest growing and most exciting research fields in physics. Entanglement, teleportation and the possibility of using the non-local behavior of quantum mechanics to factor integers in random polynomial time have also added to this new interest. This book presents a huge collection of problems in quantum computing and quantum information together with their detailed solutions, which will prove to be invaluable to students as well as researchers in these fields. Each chapter gives a comprehensive introduction to the topics. All the important concepts and areas such as quantum gates and quantum circuits, product Hilbert spaces, entanglement and entanglement measures, teleportation, Bell states, Bell measurement, Bell inequality, Schmidt decomposition, quantum Fourier transform, magic gate, von Neumann entropy, quantum cryptography, quantum error corrections, quantum games, number states and Bose operators, coherent states, squeezed states, Gaussian states, coherent Bell states, POVM measurement, quantum optics networks, beam splitter, phase shifter and Kerr Hamilton operator are included. A chapter on quantum channels has also been added. Furthermore a chapter on boolean functions and quantum gates with mapping bits to qubits is included. The topics range in difficulty from elementary to advanced. Almost all problems are solved in detail and most of the problems are self-contained. Each chapter also contains supplementary problems to challenge the reader. Programming problems with Maxima and SymbolicC++ implementations are also provided.
Author(s): Willi-Hans Steeb, Yorick Hardy
Edition: 4
Publisher: WSPC
Year: 2018
Language: English
Pages: 554
Tags: Quantum, Computing
Contents
Preface
Notation
I Finite-Dimensional Hilbert Spaces
1 Qubits
1.1 Introduction
1.2 Solved Problems
1.3 Supplementary Problems
2 Kronecker Product and Tensor Product
2.1 Introduction
2.2 Solved Problems
2.3 Supplementary Problems
3 Matrix Properties
3.1 Introduction
3.2 Solved Problems
3.3 Supplementary Problems
4 Density Operators
4.1 Introduction
4.2 Solved Problems
4.3 Supplementary Problems
5 Trace and Partial Trace
5.1 Introduction
5.2 Solved Problems
5.3 Supplementary Problems
6 Boolean Functions and Quantum Gates
6.1 Introduction
6.2 Solved Problems
6.3 Supplementary Problems
7 Unitary Transforms and Quantum Gates
7.1 Introduction
7.2 Solved Problems
7.3 Supplementary Problems
8 Entropy
8.1 Introduction
8.2 Solved Problems
8.3 Supplementary Problems
9 Measurement
9.1 Introduction
9.2 Solved Problems
9.3 Supplementary Problems
10 Entanglement
10.1 Introduction
10.2 Solved Problems
10.3 Supplementary Problems
11 Bell Inequality
11.1 Introduction
11.2 Solved Problems
11.3 Supplementary Problems
12 Teleportation
12.1 Introduction
12.2 Solved Problems
12.3 Supplementary Problems
13 Cloning
13.1 Introduction
13.2 Solved Problems
13.3 Supplementary Problems
14 Quantum Algorithms
14.1 Introduction
14.2 Solved Problems
14.3 Supplementary Problems
15 Quantum Error Correction
15.1 Introduction
15.2 Solved Problems
15.3 Supplementary Problem
16 Quantum Cryptography
16.1 Introduction
16.2 Solved Problems
16.3 Supplementary Problem
Chapter 17 Quantum Channels
17.1 Introduction
17.2 Solved Problems
17.3 Supplementary Problems
II Infinite-Dimensional Hilbert Spaces
18 Bose Operators and Number States
18.1 Introduction
18.2 Solved Problems
18.3 Supplementary Problems
19 Coherent States
19.1 Introduction
19.2 Solved Problems
19.3 Supplementary Problems
20 Squeezed States
20.1 Introduction
20.2 Solved Problems
20.3 Supplementary Problems
21 Trace and Partial Trace
21.1 Introduction
21.2 Solved Problems
21.3 Supplementary Problems
22 Entanglement
22.1 Introduction
22.2 Solved Problems
22.3 Supplementary Problems
23 Continuous Variable Teleportation
23.1 Introduction
23.2 Solved Problems
23.3 Supplementary Problem
24 Swapping and Cloning
24.1 Introduction
24.2 Solved Problems
24.3 Supplementary Problems
25 Homodyne Detection
25.1 Introduction
25.2 Solved Problems
25.3 Supplementary Problems
26 Hamilton Operators
26.1 Introduction
26.2 Solved Problems
26.3 Supplementary Problems
Bibliography
Index
