Transcription of Chapter 1 Quantum Computing Basics and Concepts
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Chapter 1 Quantum Computing Basics and Concepts
Chapter 1 Quantum 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. The goal of such approach is to describe and illustrate the use of clas-sical design methods and their extension into Quantum logicsynthesis.
1.3 Mathematical Preliminaries to Quantum Com-puting According to [Dir84] each physical system is associated with a separate Hilbert space H. An H space is an inner product vector space where the unit-vectors are the possible states of the system. An inner product for a vector space is defined by the following formula: (1.1) hx,yi= X k x∗ kyk
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