This website claims to use a quantum random number generator (i.e. if you ask it for 6 random digits, each possible sequence of digits will appear with quantum measure 10^-6). Technically, it's not quite guaranteed that using this to select a lottery ticket out of 10^6 possibilities will cause you to win with quantum measure 10^-6, since it is possible that your selection of a lottery ticket could affect which number wins, but it doesn't seem likely that that would have a huge effect.
I haven't been able to find the source of the idea, but I've recently been reminded of:
This is, of course, based on the Multiple Worlds Interpretation: if the lottery has one-in-a-million odds, then for every million timelines in which you buy a lottery ticket, in one timeline you'll win it. There's a certain amount of friction - it's not a perfect wealth transfer - based on the lottery's odds. But, looked at from this perspective, the question of "should I buy a lottery ticket?" seems like it might be slightly more complicated than "it's a tax on idiots".
But I'm reminded of my current .sig: "Then again, I could be wrong." And even if this is, in fact, a valid viewpoint, it brings up further questions, such as: how can the friction be minimized, and the efficiency of the transfer be maximized? Does deliberately introducing randomness at any point in the process ensure that at least some of your MWI-selves gain a benefit, as opposed to buying a ticket after the numbers have been chosen but before they've been revealed?
How interesting can this idea be made to be?