M. Pavicic
University of Maryland, Baltimore
and
University of Zagreb, Zagreb
We have recently proved that one can ascribe a logic to neither classical
nor quantum bare experimental data. Hence our theories heavily depend on
a chosen mathematical model the data fit. For quantum theory this is infinite
dimensional Hilbert space which assumes a continuous 3-D space. However,
we have also shown that a universal quantum computer cannot use such a
theory - it requires finite dimensional Hilbert space and a discrete 3-D
space. The latter theory suffices for a perfect simulation of a molecule
on a quantum computer. Should we abandon continuum althogether?