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Quantum Mechanics · Part 9

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Table of Contents

  1. 1.Qubits
  2. 2.No-Cloning Theorem
  3. 3.Quantum Gates
  4. 4.Quantum Circuits
  5. 5.Quantum Algorithms
  6. 6.Quantum Key Distribution (QKD)
  7. 7.Quantum Communication Protocols
  8. 8.Quantum Shannon Theory
  9. 9.Quantum Computing Models
  10. 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 ...

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