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The quantum Fourier transform and its applications 6. 3.1 Modelsfor computation 122 3.1.1 Turingmachines 122 3.1.2 Circuits 129 3.2 Theanalysis ofcomputational problems 135 3.2.1 Howto quantify computational resources 136 3.2.2 Computational complexity 138 3.2.3 Decision problems andthe complexity classesPandNP 141 3.2.4 Aplethora ofcomplexity classes 150 3.2.5 Energyandcomputation 153 3.3 Perspectives on computer science 161 … 0000002689 00000 n