About Quantum Computing: From Qubits to Fault Tolerance

Qubit Quantum Interference: Why Quantum Computers Are Powerful Quantum Simulation of Chemistry and Materials Qubit Representation Quantum Fourier Transform and Phase Estimation Grover's Quantum Search Algorithm: Amplitude Amplification and Quadratic Speedup Neutral-Atom Quantum Computers Quantum Gates Trapped-Ion Quantum Computers Shor's Algorithm Quantum Advantage Experiments: Random Circuit Sampling Logical Qubits and Fault Tolerance: Going Below Threshold The NISQ Era and Variational Algorithms: VQE and QAOA The Bloch Sphere: Geometry of Single-Qubit States Decoherence and Quantum Noise: Why Qubits Fail Superconducting Qubits: Transmons, Microwaves, and Millikelvin Quantum Error Correction and the Surface Code Quantum Teleportation Protocol: Bell-Pair Entanglement, Classical Communication, and the No-Cloning Constraint Quantum Entanglement as Non-Separable Multi-Qubit State Vectors