Quantum Computing: From Basics to the Frontier
A guided walkthrough Quantum Computing: From Basics to the Frontier What qubits are, how they entangle, how circuits manipulate them, where the speedups come from, why the hardware is so hard to build, and what is — and isn’t — commercial about it today. Long read · six stages plus worked examples, the math, and current IBM & Google hardware · updated June 2026 Contents Introduction Qubits & superposition Entanglement & measurement Gates & circuits Interference & algorithms Hardware & decoherence Error correction & the frontier How quantum computers are built Deep dive: the Josephson junction Worked example: Grover’s search Worked example: Shor’s algorithm A mathematical view & the algorithm zoo Where the hardware stands: IBM and Google The commercial picture Glossary The whole arc Introduction The bit and the qubit A regular computer stores everything as bits — tiny switc...