How to get past the lasers

It's not hard at all if you take these steps. In fact, if you do the following you can't even set them off accidentally (unless you jump or knock something over).

1. Press Caps Lock, or whatever key you've mapped for "Toggle Walk", to switch from fast movement to slow movement.

2. Crouch.

3. Shuffle over to the mine while crouched.

4. Highlight the mine.

5. Press whatever key you've mapped to "activate object". This will disable the mine.

6. If you want to take the mine, "activate object" again.

There should be a vent that leads to the other end of the hallway behind the turret (where the advanced hacking tutorial is made available). There's also a number of cardboard boxes in the vicinity. Just grab some and stack them up in front of the turret so it cannot see into the hallway. The turret won't see you as long as you stay behind the crates.

After you obstruct its view, you could then return to the other end of the hallway and make your way into the room.