While your wife can physically travel with you on the same flight, she cannot use the Global Entry kiosk or the dedicated lane unless she has her own individual Global Entry membership. Global Entry is a "trusted traveler" status that is tied to a specific person's biometric data and background check; it does not extend to family members or travel companions. This differs slightly from TSA PreCheck, where children 12 and under can sometimes "tag along" with a parent, but for international re-entry via Global Entry, every person—including infants—must have their own membership. If you have it and she doesn't, you will have to separate at the customs hall: you will head to the kiosks for a 30-second processing, and she will have to wait in the standard passport control line, which can often take much longer.