LizR wrote:
But there's no-cloning to consider - plus whether a simulated quantum state is the same as a real one...
No-cloning of an unknown quantum state is simply the statement that there is no unitary operator that will enable you to transfer the properties of one unknown quantum state to another.
Simulating a quantum state might be another matter. Quantum states are generally described in terms of some basis in Hilbert space. The coefficients of the expansion in that basis are arbitrary complex numbers, subject to the usual normalization conventions for the state. If you want to simulate this state, you have to simulate these coefficients to arbitrary precision. This is not possible in finite time with a digital computer. However, if an infinite number of calculations are routinely possible for a Turing machine in Platonia, then who knows?
I will give my proof that these coefficients are indeed dense in the complex plane at a later time, if required.
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