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Titlebook: Introduction to Quantum Computing; From a Layperson to Hiu Yung Wong Textbook 2024Latest edition The Editor(s) (if applicable) and The Aut

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Walsh–Hadamard Gate and Its Propertiesion of quantum states and does not have any classical counterpart. We will study its properties and also how it forms a superposition state in multi-qubit cases. The derivations might seem difficult but are important to follow through so that you will be able to understand more difficult algorithms in the future.
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Tensor Product of Operators, Partial Measurement, and Matrix Representation in a Given Basis matrix on a given basis to prepare us for advanced topics. At this step, we are done with the basics and linear algebra. We will start the exciting journey of quantum computing gates and algorithms in future chapters.
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ccompanied by Python programming and IBM-Q quantum computer This textbook introduces quantum computing to readers who do not have much background in linear algebra based on the self-study experience of the author as an engineer. The author targets undergraduate and master students who are willing to
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Unitary Transformation, Completeness, and Construction of Operatorace through linear combinations of the basis vectors. The equation is useful in future mathematical derivations. We will also learn how to construct an operator from the given eigenvalues and eigenvectors on any given basis.
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The Most Important Step to Understand Quantum ComputingQuantum mechanics does not appear in our daily experience. To learn quantum computing, which is based on quantum mechanics, in a short time, we need to have the right mentality to know when to believe and when to question. This chapter prepares you for that.
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Pauli Spin Matrices, Adjoint Matrix, and Hermitian MatrixIn this chapter, I will show you some of the tedious mathematical derivations step-by-step. They are not difficult, and you just need to be patient as they are necessary to understand quantum computing. We will look at Pauli spin matrices in-depth. We will also study a special kind of matrix, namely the Hermitian matrix.
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Operator Rules, Real Eigenvalues, and Projection OperatorWe have learned the basic rules of vector operations. In this chapter, we will study the rules when operators (matrix) are involved. We will also learn the concept of projection operator that can be used to find a certain component of a vector (state). You will further appreciate the power of bra–ket notation in this process.
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