"Opens up?" People have been debating this stuff for millennia, and will for many more I imagine.
The other thing I'd say is, you can even stop with "map out the brain" - what does that mean? Whose brain? At what age in their life?
"Mind" does not equal "brain." "Mind" is a capacity of the full organism, which changes over time. The brain develops along with the body and its experiences, just as the rest of the body does. The body and brain both change themselves moment to moment, and whatever "data" there is that describes you is different from one instance of you to the next, much like state changes in software from one computation cycle to the next, especially if you consider software that can change its own programming on teh fly.
If they really want to create an artificial brain, they'll have to create one that can change its own structure over time, as ours do even in adulthood. They'll have to create life support systems to support it, to which it will have to be mapped... Basically, I don't think you can have a brain in a box, so to speak. You could, but it'd be as useless as a human brain in a box. You have to recreate a whole being, you have to set it in motion, and let it develop itself. It's how we work; it's how "artificial beings" will have to work.
The only wrinkle would be if you could HALT the activity of the being, read all of its data and duplicate it, and then start it up again. We can't do that with ourselves, for some reason. Maybe we'll construct versions of life that have that ability, but they won't be us, even if we could transfer ourselves to them somehow. They'll be them, even if they have some of our memories, much like how I'm not the me I was when I started writing this.