In the book the attention on the description of the efficient simulation of quantum search algorithms and design methodology of quantum algorithm gates using classical computer technology is concentrated. Examples of efficient simulation of Grover s and Shor s quantum search algorithms on classical computers are demonstrated, explaining what its objectives are, and describing some of its physical resources, limitations and information bounds are given. For scientists, engineers and students engaged in systems analysis, computer science and control engineering, technology design and development of software and hardware tools to support management systems in the macro micro and nanotechnology, as well as problem-oriented personal smart toolkit and devices in microelectronics.