MathxMatrix on Instagram: "A Hilbert space is essentially a “grown-up” version of Euclidean space. While Euclidean space describes the geometry of the physical world we see (1D, 2D, and 3D), a Hilbert space extends those same rules so they work for any number of dimensions—including infinity. Named after the German mathematician David Hilbert, it is a central concept in modern mathematics and is the primary mathematical “language” used to describe quantum mechanics."

From Hilbert Space to the Bloch Sphere — Interactive Quantum Visualization