Does any squat variations help strengthen the quads and help you jump higher?

Need a coach to help: In general squats will strengthen the quads. There is more to increasing the vertical jump then just strengthening the muscle. To lift a weight the muscle develops force slowly ( over about 0.5 seconds ) but a jump is more about explosive force were force is developed rapidly. There are a number of training exercises in which this is practiced, because of injury risk should work with a coach.