In this work, CNTFET-based GDI (CNT-GDI) and QCA-based GDI (QCA-GDI) methods (CNT/QCA-GDI) for designing unique ultra-efficient analogue and logical blocks in voltage-mode fuzzy and quantum systems are presented. Extensive Monte-Carlo simulations by using Synopsys H-SPICE simulator at 16 nm technology demonstrate that the analogue blocks improve considerably in term of performance, absolute error and energy consumption in the presence of compact variations in compared to their counterparts. Also, the logical blocks have advantages including fast response, high polarity and lower power-consumption achieved by the QCADesigner and QCAPro tools at 18 nm in contrast to the similar designs. As applications, the half wave rectifier (HWR) and full-wave rectifier (FWR) by employing the proposed methods in two technologies are implemented. The results show improvement for the proposed circuits with correct function and very high robustness under major variations in contrast to state-of-the art rectifier architectures at similar conditions. Consequently, the proposed methods are appropriate for designing integrated circuits (ICs) with higher capacity and energy-efficient for the emerging nano-technologies.