Quantum HDR 32X is a high-end HDR (High Dynamic Range) format used in premium Samsung TVs.
The “32X” means the TV can show brightness up to 32 times higher than a standard HDR TV, which makes highlights (like sunlight or fire) look much more realistic.
For example, in an action movie, explosions will look brighter and more intense, while dark areas still keep their detail.
See also: HDR, Peak Brightness, QLED, Contrast.