To hold the fabric steady during the stitching process a lot of pressure is put on the quilt top.and pieced bottom. This is unlike hand quilting using a quilting hoop, where the sides and edges are uniformly held into position.
So What?
Every quilt has seams that go to the edge of the quilt. Quilts with borders have just a few spots where the seams go to the edges. Quilts like nine-patch quilts without borders or piano key borders have a lot of seams that go to the edge of the quilt.
The pressures from the quilt's top attached to the top and bottom rollers and the side clamps can cause the seams to open, or pop open. When the quilting is completed and with open seam ends, the only hope is to trim off the open areas or assure that the open areas are small enough to fit within the binding, which is unlikely.
Simple Solution
When you sew those seams that go to the edge of the quilt, make sure they are back-tacked.
But what about piano key borders that are made up of multiple cut strips where you can't back-tack the seams? An additional way to secure those seams as well as on quilts that have a lot of seams that go to the edge is to sew all the way around the quilt at 1/8" from the edge.
This may seem like a non-solution because when the quilt is trimmed, the seams are subject to coming open. However, these open seams will be bound up in the binding and thereby become secured.