Uploading copyrighted material in youtube in private.

So following problem:

My GF is in india at the moment and has due to various reasons no chance of getting her hand on a specific film. I have that film ...(acquired legally). If I want to share the film with her via youtube...is that potentially illegal?

It goes without saying that I will not make it publicly available but it will be private in my collection and I will share the link with her and her ONLY.

Ethically, this should not be a problem because If I buy a DVD,(as far as I know) I have the right to share the dvd with family and friends. This is nothing different, with the only difference being that I am using youtube as middle man.

I will be glad if someone could help me out.