This is interesting, but is ten years old, and I can't find any sign that this Rey guy has managed to reproduce it.
Let's say it's at a quantum level, then, and a compound that causes, say, stomach pain, gives water a particular kind of memory.....why would this memory cure stomach pain?
The memory/vibration/whatever in the water is vanishingly unlikely to bear any resemblance to the chemical pathways that cause the illnesses that can lead to stomach pain, or to the chemical pathways that can make them go away.