Quantum Info
Quantum Mechanics · Part 9
212 KB10 sections4 key equationsLaTeX typeset
Table of Contents
- 1.Qubits
- 2.No-Cloning Theorem
- 3.Quantum Gates
- 4.Quantum Circuits
- 5.Quantum Algorithms
- 6.Quantum Key Distribution (QKD)
- 7.Quantum Communication Protocols
- 8.Quantum Shannon Theory
- 9.Quantum Computing Models
- 10.Quantum Complexity Theory
Key Equations
$$|\psi\rangle = \alpha|0\rangle + \beta|1\rangle, \quad |\alpha|^2 + |\beta|^2 = 1$$
$$H = \frac{1}{\sqrt{2}}\begin{pmatrix} 1 & 1 \\ 1 & -1 \end{pmatrix} : |0\rangle \to \frac{|0\rangle + |1\rangle}{\sqrt{2}}, \quad |1\rangle \to \frac{|0\rangle - |1\rangle}{\sqrt{2}}$$
$$\text{CNOT} = \begin{pmatrix} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 \\ 0 & 0 & 1 & 0 \end{pmatrix} : |c,t\rangle \to |c, c \oplus t\rangle$$
$$\chi = S(\rho) - \sum_i p_i S(\rho_i) \leq 1 \text{ bit per qubit}$$
Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.
Course Context
This PDF is part of the Quantum Mechanics course on CoursesHub.World. Master quantum mechanics from mathematical foundations to advanced topics. Covers Hilbert spaces, wave functions, angular momentum, perturbation theory, scattering, and path integrals with 450+ pages ...