Quantum Machine Learning With Python Using Cirq From Google Research And Ibm Qiskit

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

No of pages 50-60

Sub -Topics 

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

14.   Density Operators and Mixed States

15.  Solovay-Kitaev Theorem and Universality of Quantum gates

Chapter Goal:   Introduce to the readers Quantum algorithms to express the Quantum computing supremacy over classical computation

No of pages: 70-80

1.      Introduction to 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

Sub - Topics:  

1.      Fourier Series

2.      Fourier Transform

4.      Quantum Fourier Transform(QFT)

5.      QFT implementation

7.      Quantum Phase Estimation(QPE)

8.      Quantum Phase Estimation  Implementation

9.      Error Analysis in Quantum Phase Estimation

10.  Shor's Period Finding Algorithm and Factoring

11.  Period Finding Implementation

12.  Prime Factoring and Implementation

PART 2 

Chapter 5: Introduction to Quantum Machine Learning 

No of pages: 60-70

Sub - Topics:  

2.      HHL algorithm Implementation

3.      Quantum Linear Regression and Implementation

4.      Quantum SWAP Test for dot product Computation

5.      Quantum SWAP Test Implementation

6.      Quantum Amplitude Scaling

7.      Quantum Euclidean Distance Computation

8.