Quantum mechanics explains the behavior of matter and its movement with energy in the scale of atoms and subatomic particles. This book contains five chapters - Chapter 1: Quantum Matrices using Quantum Gates Chapter 2: Multiple Quantum dot tunneling in a semiconductor its wave function and probability density Chapter 3: Quantum Mechanical and Semi-Classical Electrostatics Characteristics on SOI (Silicon on Insulator) Trigates Chapter 4: Simple and Multi-layered Quantum dot in various structures Chapter 5: Introduction on Advanced Quantum Computers.