How does the Audi A8's Quattro all-wheel drive system help with cornering?

I've heard that the Audi A8's Quattro all-wheel drive system is great for handling and cornering, but I'm not familiar with the specifics. Can someone explain how the system works and how it improves cornering performance?

The Quattro all-wheel drive system uses a torque-vectoring technology that helps to distribute power to the wheels that have the best grip in a given moment. This not only improves traction and stability, but also helps with cornering by applying more torque to the outside wheels and helping the car turn more smoothly.

In addition to the torque-vectoring technology, the Quattro all-wheel drive system also has a rear differential that can actively distribute power between the rear wheels. This allows for even sharper and more precise cornering, as the system can transfer power to the outside wheel to help rotate the car.