Introduction to Quantum Computing From a Layperson to a Programmer in 30 Steps /
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 spend about 60 -90 hours seriously learning quantum computi...
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| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
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Springer International Publishing : Imprint: Springer,
2024.
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| Ausgabe: | 2nd ed. 2024. |
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| Online-Zugang: | https://doi.org/10.1007/978-3-031-36985-8 |
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Inhaltsangabe:
- The Most Important Step to Understand Quantum Computing
- First Impression
- Basis, Basis Vectors, and Inner Product
- Orthonormal Basis, Bra-Ket Notation, and Measurement
- Changing Basis, Uncertainty Principle, and Bra-ket Operations
- Observables, Operators, Eigenvectors, and Eigenvalues
- Pauli Spin Matrices, Adjoint Matrix, and Hermitian Matrix
- Operator Rules, Real Eigenvalues, and Projection Operator
- Eigenvalue and Matrix Diagonalization; Unitary Matrix
- Unitary Transformation, Completeness, and Construction of Operator
- Hilbert Space, Tensor Product, and Multi-Qubit
- Tensor Product of Operators, Partial Measurement, and Matrix Representation in a Given Basis
- Quantum Register and Data Processing, Entanglement and the Bell States
- Concepts Review, Density Matrix, and Entanglement Entropy
- Quantum Gate Introduction; NOT and C-NOT Gates
- SWAP, Phase Shift and CC-NOT (Toffoli) Gates
- Walsh-Hadamard Gate and its Properties
- Two Quantum Circuit Examples
- No-Cloning Theorem and Quantum Teleportation I
- Quantum Teleportation II and Entanglement Swapping
- Deutsch Algorithm
- Quantum Oracles and Construction of Quantum Gate
- Grover’s Algorithm: I
- Grover’s Algorithm: II
- Quantum Fourier Transform I
- Quantum Fourier Transform II
- Bloch Sphere and Single-Qubit Arbitrary Unitary Gate
- Quantum Phase Estimation
- Shor’s Algorithm
- The Last But Not the Least.