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Contents 12 About the Author 8 Preface 10 1. Introduction and Basic Concepts 18 1.1. Introduction 18 1.1.1. Why Quantum Networks? 18 1.1.2. Light as a Precious Resource for Communication 19 1.1.3. Basic Concepts in Quantum Communication 21 1.2. Introduction to Quantum Mechanics 22 1.2.1. Postulates of Quantum Mechanics 22 1.2.2. Hamiltonian and Schrödinger Equation 27 1.2.3. Constant Potential 30 1.2.4. Harmonic Oscillator 32 1.2.5. Quantization of a Harmonic Oscillator’s Energy 34 1.2.6. Energies of a 1D Harmonic Oscillator 36 1.2.7. Example: Normalization 37 1.2.8. Example: Time Evolution 39 1.2.9. Example: Uncertainty in Energy of a Harmonic Oscillator 40 1.2.10. Tunneling 41 1.3. Dirac Notation 46 1.3.1. Wavefunction Properties in Dirac Notation 47 1.3.2. Vectorial Representation of Wave Functions 49 1.3.3. Basis Functions 50 1.3.4. Operators in Dirac Notation 52 1.3.5. Example: Projective Measurement 53 1.4. Density Operator 55 1.4.1. Example: Density Matrix of a Qubit 57 1.5. Commutation Relation 59 1.5.1. Quantum Microscope 61 1.5.2. Calculation of Uncertainty 62 1.5.3. Fourier Transform and Uncertainty Relation 63 1.6. Entanglement 65 1.6.1. The Schrödinger’s Cat 66 1.6.2.
- Author
- Mahdi Hosseini
- Language
- EN
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