Analysis of effect of temperature variation on computational faithfulness of a QCA XOR gate

The efficiency of the performance of Quantum Dot Cellular Automata Exclusive-OR gate in terms of the criteria of computational faithfulness for varying temperature range is studied in this paper. The cell layout of the quantum dot cellular automata three-input Exclusive-OR gate is designed. However, the environmental noise such as temperature fluctuation influences the polarizations of the cells in the circuit layout of the Exclusive-OR gate. The array of cells containing the nanostructure quantum dots forms the channel for the computation of the Exclusive-OR operation. So, this noise affects the efficacy of the logical transformation of the inputs to the output as predicted by the truth table of the Exclusive-OR gate. Shannon´s information theoretic measures are applied to calculate the entropy, conditional entropy and mutual information of this noisy computational channel taking into account the variation of cell polarizations due to thermal randomness. Finally, the computational faithfulness of the Exclusive-OR gate is statistically analyzed and the fuzzy multi-valued status of the performance of the quantum-cellular automata Exclusive-OR gate is obtained in this article.