Problems & Solutions in Quantum Computing & Quantum Information (量子計算與量子資訊的問題與解決方案)

Description:

Quantum computing and quantum information are two of the fastest-growing and most exciting research areas in physics. The possibilities of using non-local behaviour of quantum mechanics to factorize integers in random polynomial time have added to this new interest. This invaluable book provides a collection of problems in quantum computing and quantum information together with detailed solutions. It consists of two parts: in the first part finite-dimensional systems are considered, while the second part deals with finite-dimensional systems.

All the important concepts and topics are included, such as quantum gates and quantum circuits, entanglement, teleportation, Bell states, Bell inequality, Schmidt decomposition, quantum Fourier transform, magic gates, von Neumann entropy, quantum cryptography, quantum error correction, coherent states, squeezed states, POVM measurement, beam splitter and KerrHamilton operator. The topics range in difficulty from elementary to advanced. Almost all of the problems are solved in detail and most of them are self-contained. All relevant definitions are given.

Students can learn from this book important principles and strategies required for problem solving. Teachers will find it useful as a supplement, since important concepts and techniques are developed through the problems. It can also be used as a text or a supplement for linear and multilinear algebra or matrix theory.

 

 Table of Contents:

• Finite-Dimensional Hilbert Spaces:
• Qubits
• Kronecker Product and Tensor Product
• Matrix Properties
• Density Operators
• Partial Trace
• Unitary Transforms and Quantum Gates
• Measurement
• Entanglement
• Teleportation
• Cloning
• Quantum Algorithms
• Quantum Error Correction
• Quantum Cryptography
• Infinite-Dimensional Hilbert Spaces:
• Harmonic Oscillator and Bose Operators
• Coherent States
• Squeezed States
• Entanglement
• Teleportation
• Swapping and Cloning
• Hamilton Operators