[ZeroFries]

Lots of reasons. You need energy to store the information. You wouldn't be gaining anything, only losing efficiency. The quantum level is the "lowest" level of existence, there's nothing "lower" to use to simulate it. Furthermore, "random" is a critical concept in QM, and one can never achieve true random with a TM. What's the digital algorithm to generate a truly random number?

Edit: in a way simulating a crab with a bunch of crabs would be kind of like simulating energy dynamics/QM with energy

[drdeca]

A Turing machine, that is, the mathematical formalism, can definitely simulate quantum mechanics. A classical Turing machine simulating a quantum Turing machine, or other model of quantum computation, would, aiui, incur a super-polynomial slowdown (maybe exponential? My impression is that that it might not be known to exponential. But at worst basically exponential).

The randomness is not an issue. Just don’t add any wave function collapse, or just list the probability of each outcome.

[ZeroFries]

This is just not the case, even with infinite energy and time. There are properties of quantum Turing machines that are not reproducible with classical Turing machines.

https://web.archive.org/web/20081123183419/http://www.ceid.u...

[ineedasername]

Quantum may not be the lowest level: Nobel prize winning physicist Gerard 't Hooft speculates the existence of a more orderly layer underlying the quantum layer.

Otherwise, I see no reason why a thing cannot be used to simulate a thing of the same kind: Computers are used to simulate other computers on a daily basis.

[numpad0]

Do something nondeterministic qualify as a simulation