← Blog/Navigate
Navigate·Published Sep 2026

What Mathematics Do You Actually Need?

TL;DRLinear algebra (vectors, matrices, complex numbers) is the real prerequisite. You don't need the rest of a physics degree before you're allowed to start.

Essential, sooner rather than later: complex numbers, vectors and matrices, inner products, and basic probability. This is genuinely most of what you need to understand a single qubit and simple circuits. Useful once you go further: Dirac (bra-ket) notation, which is mostly a compact way of writing what you already know, tensor products (for reasoning about multiple qubits together), and eigenvalues/eigenvectors (for understanding measurement more deeply).

The common mistake is treating this list as a wall to clear before starting. It doesn't have to be sequential: the math is more intuitive when it's learned alongside the physics it's describing, not as an abstract prerequisite months beforehand.

Go deeper

Quantum States

A dedicated linear-algebra module covering exactly this list is planned but not published yet. Until it is, pair a standard linear algebra resource with Quantum States rather than finishing one before starting the other.