2.1. Axioms for Quantum Computing

2.2. Spin and Quantum Bits in Two-Dimensional Space

2.2.1. Qubit Representation

2.2.2. Representation of Quantum States

2.2.3. Inner Product and Vector Space Structure

2.2.4. Definition of Inner Product and Orthonormalisation Basis

2.2.5. What is Global Phase?

2.2.6. Projection Spaces

2.2.7. Multi-Qubit State Spaces

2.3. The Meaning of Measurement in Quantum Observations and Computation

2.4. What is Unitary Evolution?

2.5. Quantum Dynamics and Computation

2.6. Projection in Complex Inner Product Spaces

2.7. Summary of Axioms in Quantum Computing