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Titlebook: Introduction to Quantum Computing; From a Layperson to Hiu Yung Wong Textbook 20221st edition The Editor(s) (if applicable) and The Author

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楼主: collude
发表于 2025-3-30 08:25:36 | 显示全部楼层
Orthonormal Basis, Bra–Ket Notation, and MeasurementUnderstand that orthonormal bases and normalized vectors are used in quantum computing; Have a deeper understanding of Bra–Ket notation; Understand the meaning of superposition coefficient in measurement.
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Observables, Operators, Eigenvectors, and EigenvaluesUnderstand the connections between operator matrices and observables; Able to find the eigenvalues and eigenvectors of a matrix.
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Eigenvalue, Matrix Diagonalization and Unitary MatrixUnderstand the meaning of matrix diagonalization and its equivalence to finding eigenvalues and eigenvectors; able to find eigenvalues and eigenvectors; understand the importance of unitary matrix and its properties.
发表于 2025-3-31 10:48:50 | 显示全部楼层
Unitary Transformation, Completeness, and Construction of OperatorAble to perform unitary transformation; able to construct unitary transformation matrix from the given bases; be prepared to use the completeness equation for quantum computing; able to construct operator from the given eigenvectors and eigenvalues.
发表于 2025-3-31 16:25:04 | 显示全部楼层
Hilbert Space, Tensor Product, and Multi-QubitHave an idea that Hilbert space is just an extension of the real space; understand that tensor product is a way to construct a higher-dimensional Hilbert space from lower ones; appreciate the power of quantum computing due to the tensor product of qubits; familiar with important tensor product operations.
发表于 2025-3-31 19:59:29 | 显示全部楼层
Tensor Product of Operators, Partial Measurement, and Matrix Representation in a Given BasisBe more skillful in tensor product operations; understand how to perform tensor product for matrices; understand the meaning of partial measurement and normalization after measurement; understand the meaning of the operator matrix elements in a given basis.
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