There behind the door in Portal 2’s “The Surprise” chamber

The wall past the emancipation grid (once you've gone through the door) will accept portals. Put one in there, get the cube and let the door close, and portal through.

Explanation

In the entity list, there is a linked_portal_door for this purpose; it is used in the Death Trap (in map sp_a4_finale2.bsp):

This entity is designed to link two separate, distant areas together without any clear transition between the two. This entity is exclusive to Portal 2.

It is used in Chapter 9, in the Chamber 75 Death Trap with all the crap turrets. The room is actually completely separate from its supposed surroundings. It is the only use of this entity in the final version of the game, though commentary states that it was used a lot during the development of the title to link chambers together.

I guess that the development team first made the rooms separate so that they could wipe a bad room, then connect them later when the levels were more perfect, and I suppose that this room didn't fit.

Pictures

Here is a picture of the Death Trap that isn't connected to the other rooms:

Near the threshold and a tiny step (noclip fly) to either side:

Video

You might want to skip the commentary and long walk and go to 04:30. From here on he shows the box from outside at the three locations (before box, in box, after box); he first does this slowly, then at a later point he goes between all of them in quicker succession. This might show the trick better than above pictures.

Thanks to Jon Ericson in the comments for finding this video.