I believe that during the course of antibiotics to erradicate H. Pylori, you are also inhibiting your population of intestinal bacteria. These bacteria consume the excess carbohydrates in your diet and as a result produce gas. I belive this gas (hydrogen, Carbon dioxide and often times methane) is what drives reflux. It makes sense that the antibiotics might temporarily stop reflux depending on the type of antibiotic used. Erythromycin has been shown to have a positive impact on reflux, though the authors did not understand the reason. The reason the reflux comes back is because you either stop the antiobiotics or a new and resistant population emerges in your intestines and resumes gas production. The way to stop reflux is to reduce your consumption of excess carbohydrates. I recently have written a book on this, though, unfortuantely I cannot promote the book due to the rules of the message board.
Please do consider the very effective approach.