Mathematical Aspects Of Quantum Computing 2007

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 ...

Quantum Machine Learning bridges the gap between abstract developments in quantum computing and the applied research on machine learning. Paring down the complexity of the disciplines involved, it focuses on providing a synthesis that explains the most important machine learning algorithms in a quantum framework. Theoretical advances in quantum computing are hard to follow for computer scientists, and sometimes even for researchers involved in the field. The lack of a step-by-step guide hampers the broader understanding of this emergent interdisciplinary body of research. Quantum Machine Learning sets the scene for a deeper understanding of the subject for readers of different backgrounds. The author has carefully constructed a clear comparison of cl...

Exploring the practical aspects of atmospheric optical communication and light detection and ranging (LIDAR), Applied Aspects of Optical Communication and LIDAR details the role of atmospheric structures in propagation phenomena that influence the transmission of optical signals through perturbed atmospheric communication channels. It examines numerous situations in over-the-terrain atmospheric communication channels, including the effects of natural phenomena and the corresponding features (turbulences and hydrometeors) on optical ray propagation. Bridging the gap between the parameters of optical communication links and signal information data streams, this concise reference addresses line-of-sight (LOS) as well as obstructive non-line-of-sight (N...