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In the Appendix, we provide full quantum models for all basic components of our circuit.
Since it can be shown that quantum models can simulate models such as the classical Turing machine, \ \textbf{BQP}\) contains \ \textbf{P}\) and \ \textbf{BPP}\).
So there is no straightforward sense in which quantum models become increasingly similar to macroscopic systems as quantum numbers get large.
This does not of course prohibit the simulation of many quantum models from being easy using classical devices and thus not in need of a quantum simulator.
There are many other quantum models of consciousness to be found in the literature some advocating a radically revisionist metaphysics and others not but these four provide a reasonable, though partial, sample of the alternatives.
While \(t_{E}\) represents an important limit for how long quantum state vectors can be expected to shadow classical trajectories, there are interesting behaviors in the semi-classical quantum models corresponding to classical chaotic systems on longer time scales.
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Explicit unitary representations of symmetry groups for several quantum simulation models are presented in Appendix 8.
In addition to the applications presented here, we analyze several other quantum simulation models in Appendix 7.
Here we explicitly construct representations of symmetry groups for two quantum simulation models analyzed in the main text.
Rutherford nuclear atom N. Bohr explained hydrogen spectrum using quantum model of the atom.
Alternatively, the behavior of a quantum model should reproduce the behavior of macroscopic classical models in the limit of large quantum numbers.
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