Yes, but the title suggests that "[method] solves NP-complete problems", and sounds kind of like "Quantum-Physics-related trick solves NP-complete problems".
Moreover - it doesn't even solve NPC problems conditionally, but that show that "in principle" they should be / would be solvable.
"Assuming [assumptions] we show that ... can in principle solve..."
Yeah, well, you know... that doesn't sound as promising as the title.