Quantum Computer Model
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1. Introduction
2. Methodology:
3. Summary
4. Table of Contents
5. Introduction
6. Brief History of Quantum Computing
7. Six Postulates of Quantum Mechanics
8. Dirac's Relativistic Matrix Mechanics
9. The Dirac Notation - Different Formulations of Quantum Mechanics
10. Vector and Matrix Math, Tensor Products of Vector Spaces
11. Simulating Spin Operators and Spin Space
12. Tensor Products of Vector Space
13. Quantum Superposition, Photons, and Polarization States
14. Bell States: Two-Electron Entangled State (Quantum Entanglement)
15. Entanglement
16. Properties of Mixed States
17. The Bloch Sphere
18. Difference Between Block States and Bell States
19. Explore 4 Qubit Hilbert Space, Operators, and State Evolution
20. Experiments: Exploring the 3 Polarizer “Paradox”, Stern-Gerlach Experiment
21. Analysis of the Stern-Gerlach Experiment
22. Quantum Correlations Simplified
23. Quantum Operators, Gates, Algorithms
24. Gate Identities
25. Two-photon Interference
26. A Proof of Bell's Theorem, CHSH Model, and Vector States
27. Quantitative Analysis of Phase Splitting on Mach-Zehnder Interferometer
28. Simulate: "Qubit Quantum Mechanics with Correlated-Photon Experiments"
29. Simple Example of Parallel Quantum Computation
30. Simulation of the Deutsch and the Deutsch-Jozsa Algorithms
31. Quantum Restrictions on Cloning
32. Factoring Using Shor's Quantum Algorithm
33. Simulation of Grover's Quantum Search Algorithm
34. An Entanglement Swapping Protocol
35. VQE Algorithm - Python Program - (GCP)
36. Quantum Calculations Illuminated with Dirac Notation - Particle in 1D Box
37. Example of Quantum Physics: Simulating the Aharonov–Bohm Effect
38. QM: Schrödinger Wavefunction, Matrix, and Wigner Phase Space
39. Solution of Schrödinger Wave Equation for Propagation of an Electron
40. Basic Quantum Mechanics in Coordinate, Momentum, and Phase Space
41. The Quantum Eraser
42. The Difference Between Fermions and Bosons
43. Light Diffraction: Atomic Mask Diffraction Pattern
44. Bibliography