DanArmak comments on Harry Potter and the Methods of Rationality discussion thread, part 27, chapter 98 - Less Wrong
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Transfigure the containment device first. Then find a way to transfigure the antimatter inside it. To solve the wand contact problem, transfigure the empty container into a full container. Then his wand is in contact with the container, but the container doesn't actually change.
Granted, it's extremely dangerous, especially when practicing.
Yes, there is the problem that no-one knows what containment for macroscopic amounts of antimatter looks like. We have some ideas, but nothing that would be safe for Harry to try.