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I’ve said what a quantum state is, as a mathematical object: it’s a two-dimensional vector in a complex vector space. But why is that true? What does it mean, physically, that it’s a vector? Why a complex vector space, and how should we think about the complex numbers? And what’s a quantum state good for, anyway?

These are good questions. But they do take some time to answer. For context consider that the discovery of quantum mechanics wasn’t a single event, but occurred over 25 years of work, from 1900 to 1925. Many Nobel prizes were won for milestones along the way.

- Quantum computing for the very curious

good questions my ass