1. The Qubit State Equation $$|\psi\rangle = \alpha|0\rangle + \beta|1\rangle$$
2. The Normalization Equation $$|\alpha|^2 + |\beta|^2 = 1$$
3. State Evolution $$|\psi’\rangle = U|\psi\rangle$$
4. Entanglement $$|\psi_{12}\rangle = |\psi_1\rangle \otimes |\psi_2\rangle$$
5. Measurement $$P(0) = |\alpha|^2$$ $$P(1) = |\beta|^2$$
6. Quantum Dynamics $$i\hbar \frac{d}{dt}|\psi(t)\rangle = H|\psi(t)\rangle$$