The Playstation 4 doesn't.
What does cloud processing do?
First and foremost, it is an obvious win for the Xbox One. While the PS4 may have superior hardware, the Xbox One closes the gap with cloud processing. And it can even exceed the gap.
Just imagine, developers will have more processing power on Xbox One due to cloud processing. Once developers learn the technology, the potential is limitless. Not enough power to add more enemies? Use the cloud. Long load times bogging down the game? Use the cloud. Want to create a giant playspace with a lot of things to do with no performance impact whatsoever? Just use the cloud.
Cloud processing is the future of gaming, and I'm glad Microsoft recognized that. While the PS4 is concerned with gaming in the present, the Xbox One is the console of the future, and the future is near.
You're welcome.
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Too bad only the pure of heart can use it :(