Downsizing computational modules can be effective in increasing computational speed, reducing energy consumption, and reducing the occupied area of the chip, but limitations associated with Complementary metal–oxide–semiconductor (CMOS) technology downsizing prompted researchers to look for alternative methods for transistors and circuit fabrication. A common issue in many of these methods is the move toward the production of components of logical circuits in nano dimensions. Quantum‐dot cellular automata (QCA) technology is inherently fast and is based on Coulomb interactions, and this property can make the design of computational circuits much easier. The main purpose of this paper is to design a new full adder circuit structure based on ternary quantum‐dot cellular automata technology with physical proofs. Accordingly, the proposed diagram block structure full adder circuit based on ternary QCA (TQCA) is presented, which includes 11 cells, the area is 0.0004μm2 and, the circuit cost is 0.044. For validation, the proposed structure was simulated with TQCAsim software. The results show a significant improvement in circuit parameters.