The Willenhall-based company has had the machine installed with a WH Leary Array 6 high-pressure glue application system.
Quantum's Diana was installed earlier this month and is expected to begin running at the £2.3m-turnover company later this week.
Production director Peter Thomas said that the machine would open "a number of doors that the company was struggling to get through," as well as up turnover by 20%.
He said: "The Diana will give us more flexibility, greater production speeds, easier and faster makereadies and the ability to offer more bespoke, individually styled cartons and packaging products."
The X 115 is a Heidelberg-designed model, which features flexible folding paths. According to Quantum, the machine will pave the way for the creation of "new, unusual and complex" designs.
Quantum employs 32 staff. It produces a range of products, including short- to medium-run cartons, stock boxes, blister cards, point of sale and display packaging.