Quadriplegia is also known as tetraplegia. It's a type of paralysis that results in the total or partial loss of sensation or movement in the limbs. The torso is usually also affected. Paraplegia is similar, but it only affects the waist down, not the arms.
Tetraparesis or quadriparesis, two other terms you may see if you have lost sensation, means that you have muscle weakness affecting all four of your limbs.