Colin P. Williams Bücher

This book covers a range of topics in quantum computing and its applications. It discusses multi-particle entanglement and quantum algorithms, including quantum wavelet transforms and fluid dynamics computation. The text explores the communication complexity of inner product functions and the use of quantum recurrent networks for simulating stochastic processes. It delves into the correlation of processes and time in quantum networks, examining quantum effects in algorithms and the automated design of quantum circuits. The annotation highlights quantum search algorithms, including a generalized Grover search for arbitrary initial amplitude distributions and a single-query database search. It notes that quantum computers cannot speed up iterated applications of a black box and discusses quantum resonance's role in solving NP-complete problems. Further topics include the hidden subgroup problem, quantum cryptography, and the implications of eavesdropping and unsharp spin measurement. The text also addresses quantum copying, optimal cloning of qubits, and information theory's insights into quantum reality. It examines quantum error correction, fault-tolerant computing, and the existence of nonadditive quantum codes. Lastly, it covers various physical implementations of quantum computing, including NMR, optical approaches, and trapped ion systems, as well as the effects of decoherence and inaccuracies on quantum computers.

Focusing on the fundamentals of quantum computing, this book simplifies complex concepts and highlights the significant technological challenges that need to be addressed for practical implementation. It features executable software simulations that enhance understanding of the material, making it accessible for readers interested in the future of computing technology.