Can there be any medicine in homeopathy to eradicate (kill) helicobacter pylori?

None: I say "none, " because homeopathy does not kill anything or eradicate organisms. However, it can strengthen the body's responses to overcome the effects of those organisms -- with individualized remedy that helps the whole system rebalance itself. With the right remedy, symptoms remit and function improves. If you want to "kill" helicobacter pylori, you may need standard antibiotic treatments.