Quantum Computing: From Basics to Advanced Algorithms

Quantum Computing: From Basics to Advanced Algorithms

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⌨️ 1.6 The Hadamard Gate and +, -, i, -i States

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13 of 29

⌨️ 1.6 The Hadamard Gate and +, -, i, -i States

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Classroom Contents

Quantum Computing: From Basics to Advanced Algorithms

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  1. 1 ⌨️ Introduction
  2. 2 ⌨️ 0.1 Introduction to Complex Numbers
  3. 3 ⌨️ 0.2 Complex Numbers on the Number Plane
  4. 4 ⌨️ 0.3 Introduction to Matrices
  5. 5 ⌨️ 0.4 Matrix Multiplication to Transform a Vector
  6. 6 ⌨️ 0.5 Unitary and Hermitian Matrices
  7. 7 ⌨️ 0.6 Eigenvectors and Eigenvalues
  8. 8 ⌨️ 1.1 Introduction to Qubit and Superposition
  9. 9 ⌨️ 1.2 Introduction to Dirac Notation
  10. 10 ⌨️ 1.3 Representing a Qubit on the Bloch Sphere
  11. 11 ⌨️ 1.4 Manipulating a Qubit with Single Qubit Gates
  12. 12 ⌨️ 1.5 Introduction to Phase
  13. 13 ⌨️ 1.6 The Hadamard Gate and +, -, i, -i States
  14. 14 ⌨️ 1.7 The Phase Gates S and T Gates
  15. 15 ⌨️ 2.1 Representing Multiple Qubits Mathematically
  16. 16 ⌨️ 2.2 Quantum Circuits
  17. 17 ⌨️ 2.3 Multi-Qubit Gates
  18. 18 ⌨️ 2.4 Measuring Singular Qubits
  19. 19 ⌨️ 2.5 Quantum Entanglement and the Bell States
  20. 20 ⌨️ 2.6 Phase Kickback
  21. 21 ⌨️ 3.1 Superdense Coding
  22. 22 ⌨️ 3.2.A Classical Operations Prerequisites
  23. 23 ⌨️ 3.2.B Functions on Quantum Computers
  24. 24 ⌨️ 3.3 Deutsch's Algorithm
  25. 25 ⌨️ 3.4 Deutch-Jozsa Algorithm
  26. 26 ⌨️ 3.5 Berstein-Vazarani Algorithm
  27. 27 ⌨️ 3.6 Quantum Fourier Transform QFT
  28. 28 ⌨️ 3.7 Quantum Phase Estimation
  29. 29 ⌨️ 3.8 Shor's Algorithm

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