A homeopath decided to put you on an experimental untested chemical medicine?
Sounds to me like they are well meaning but might be practicing outside the scope of their license? since Miracle-Mineral-Supplement is not homeopathic and more likely falls under the heading of being allopathic in nature (kill the infection).
Most homeopaths are quite thoughtful and meticulous. One would think that a homeopath would have had some good reasons for the decision to recommend Miracle-Mineral-Supplement - like prior experience with other patients or some papers showing the effectiveness of Miracle-Mineral-Supplement in the treatment of H. Pylori. And if that was the case then there would be little cause for concern.
On a slightly different note the prior administering of anti-biotics usually indicates a much deeper level of infection. If that is the case then the H. Pylori is symptomatic.
The difficulty with anti-biotics is that they do not actually kill the infection. They merely act like a grenade and blow the invaders up in small bits. These bits then tend to regroup and are now smeared over a broader surface area within the body only to resurrect at a later date.
If indeed you have been correctly diagnosed with H. Pylori and are inclined towards herbal remedies then you might look into Allicin, Noni, Hyssop and Green Tea concentrates as a starting point. These will help with many infections in the digestive system but may not necessarily resolve the underlying condition.
Many infections are driven by various mycoplasma, molds, bio-warfare agents, viruses, chemicals, heavy metals, and toxic emf smog. Infections are now harder than ever to resolve since electro-smog stimulates pathogens to increase their defenses and develop thicker biofilms. The increase in the total body burden makes it so much harder to resolve these issues as well.
Every second of the day we are now experiencing a toxic rain shower of mercury which is hailing down from coal burning energy plants-mostly the ones in China. It just so happens that this mercury rain comes from China but we in turn in the USA shower them with fallout from our nuclear plants. Mercury in the body will not be approached by white blood cells and because of that pathogens hide behind heavy metals and use them as a shielding device. This is how heavy metals encourage the growth of microbes.
The other toxic metal prevalent in body tissues is lead which sinks deep into the bones. Lead amplifies the toxic effects of mercury one hundred fold. MMS is a good product and is being used by a well respected German doctor in the field of autism and Lyme Disease but in conjunction with other protocols that absorb the toxic residues. This way the detox effects are mitigated.