[tialaramex]

Quantum computers aren't doing anything that you couldn't do with a Turing machine. You can get a perfectly nice emulator that will run all Quantum computer algorithms on your Turing machine today. They'll just be annoyingly slow.

There are some machines that don't exist which are categorically more capable than a Turing machine, such as Clock Doubling Machines, (which get to do an infinite amount of Turing computation in finite time) but those don't exist at all so while philosophers can insist upon debating them it won't do you any practical good.