Quantum Machine Learning With Python
Chapter 1: Introduction to Quantum Mechanics and Quantum Computing Chapter Goal: Introduce the concept of Quantum mechanics and Quantum computing to the readers No of pages 50-60 Sub-Topics 1. Introduction to Quantum computing 2. Quantum bit and its realization 3. Quantum superposition and Quantum entanglement 4. Bloch Sphere representation of Qubit 5. Stern Gerlach Experiment 6. Bell State 7. Dirac Notations 8. Single Qubit Gates 9. Multiple Qubit Gates 10. Quantum No Cloning Theorem 11. Measurement in different basis 12. Quantum Teleportation 13. Quantum parallelism with Deuth Jozsa 14. Reversibility of quantum computing Chapter 2: Mathematical Foundations and Postulates of Quantum Computing Chapter Goal: Lays the mathematical foundation along with the postulates of Quantum computing No of pages 50-60 Sub -Topics 1. Topics from Linear algebra 2. Pauli Operators 3. Linear Operators and their properties 4. Hermitian Operators 5. Normal Operators 6. Unitary Operators 7. Spectral Decomposition 8. Linear Operators on Tensor Product of Vectors 9. Exponential Operator 10. Commutator Anti commutator Operator 11. Postulates of Quantum Mechanics 12. Measurement Operators 13. Heisenberg Uncertainty Principle 14. Density Operators and Mixed States 15. Solovay-Kitaev Theorem and Universality of Quantum gates Chapter 3: Introduction to Quantum Algorithms Chapter Goal: Introduce to the readers Quantum algorithms to express the Quantum computing supremacy over classical computation No of pages: 70-80 Sub - Topics: 1. Introduction to Cirq and Qiskit 2. Bell State creation and measurement in Cirq and qiskit 3. Quantum teleportation Implementation 4. Quantum Random Number generator 5. Deutsch Jozsa Implementation 8. Hadamard Sampling 6. Bernstein Vajirani Algorithm Implementation 7. Bell's Inequality Implementation 8. Simon's Algorithm of secret string search Implementation 9 Grover's Algorithm Implementation 10. Algorithmic complexity in Quantum and Classical computing paradigm Chapter 4: Quantum Fourier Transform Related Algorithms Goal: Introduce to the readers Quantum Fourier related algorithms No of pages: 60-70 Sub - Topics: 1. Fourier Series 2. Fourier Transform 3. Discrete Fourier Transform 4. Quantum Fourier Transform(QFT) 5. QFT implementation 6. Hadamard Transform as Fourier Transform