Quantum Computing Study Materials

• Double-slit experiment and wave function • Heisenberg uncertainty principle • Wave function collapse and measurement • Probability amplitudes and Born rule

• State vectors and Dirac notation • Superposition principle • Quantum measurement theory • Mixed states and density matrices

• Hermitian operators • Eigenvalues and eigenvectors • Commutation relations • Time evolution operators

• Single qubit states • Bloch sphere representation • Pauli gates (X, Y, Z) • Hadamard and phase gates

• Tensor products • Bell states and entanglement • CNOT and SWAP gates • Quantum circuits

• Deutsch-Jozsa algorithm • Quantum Fourier transform • Shor's algorithm • Grover's algorithm

• Circuit composition • Gate decomposition • Error correction basics • Circuit optimization

• Qiskit basics • Cirq programming • Q# introduction • Quantum simulation

• Quantum error correction • Surface codes • Quantum machine learning • Variational algorithms