New Method for Decreasing the Number of Quantum Dot Cells in QCA Circuits

A method for decreasing the number of Quantum Dot Cells in Quantum Dot Cellular Automata (QCA) circuits is presented. The proposed method is based on physical relation and computing physical forces between electrons. Correctness of our method is proved using some simple physical proofs. Our method is useful when the QCA circuit has many inverter gates. It should be noted that in order to achieve more stability, electrons of QCA arrange in such a manner that their potential energy reaches the minimum level. From physical terms it could be simply proven that calculation of resultant of forces and moment of forces and also calculation of potential energy will have equal result. Therefore one can claim that the final inverter has the minimum potential energy and therefore is in its most stable state.

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