Chapter 1 Quantum Computing Basics and Concepts
Chapter 1Quantum Computing Basics IntroductionThis book is for researchers and students of computational intelligence as well as forengineers interested in designing Quantum algorithms in the circuit content of this book is presented as a set of design methods of Quantum circuitswith the focus on evolutionary algorithm; however some heuristic algborithms aswell as a wide range of application of Quantum circuits are general idea behind this book is to represent every computational problemas a Quantum circuit and then to use some classical synthesisapproach to designthe circuit.
(1.1) hx,yi= X k x∗ kyk where x and y are two vectors defined on H and x∗ denotes a complex conjugate of x. For quantum computation it is important to introduce the orthonormal basis on H, in particular considering the 1 2-spin quantum system that is described by two orthonormal basis states. An orthonormal set of vectors M in H is such ...
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