Chapter 1 Quantum Computing Basics and Concepts

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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.

are orthogonal. Example 1.3.0.1 Orthonormal basis set An orthonormal basis set can be defined such as: {(1,0,0)T,(0,1,0)T,(0,0,1)T}. In this space, a linear operator A represented by a matrix A transforms an input vector v to an output vector w such as w= Av. 1.3.1 Bra-Ket notation

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