Structure of my thesis:

1. Introduction

   1. History
   2. Future Directions

2. Fundamentals

   1. Overview
   2. Quantum Computation
      1. Qubits
      2. Quantum Circuits
   3. The Dirac Notation and Hilbert Spaces
   4. Quantum Circuits
      1. The quantum circuit model
      2. Quantum Gates
      3. Universal Quantum Gates

3. Introduction to Computer Science

   1. Overview
   2. Turing Machines
   3. Computational Complexity
   4. Problems in classes P and NP

4. Quantum Algorithms

   1. Probabilistic vs Quantum Algorithms
   2. Quantum Parallelism
   3. Deutsch's Algorithm
   4. Deutsch-Jozsa Algorithm
   5. Simon's Algorithm
   6. Grover's Algorithm
   7. Quantum Search Algorithms

5. The Quantum Fourier Transformation

   1. FFT
   2. QFT

6. The Shor's Code

   1. Quantum error-correction

7. RSA Cryptosystem

8. What's Happening Now

9. Summary

---

Thoughts about additions:

1. Quantum theory in classical Game Theory

2. Nash equilibrium