I have a pillow model, decorated with a very detailed rope. I want to simulate physics for that pillow. Since rope in complex pillow assume to be thick and almost don't have to change shape, I created simple version of it. And I want to simulate physics for simple version and then apply all transformations to complex one. How?

You can use Point Deform SOP to capture hi-res rest geo with low res rest geo and deform by low-res simmed geo