Abstract: Designing logic circuits using complementary metal-oxide-semiconductor (CMOS) technology at the nano scale has been faced with various challenges recently. Undesirable leakage currents, the short-effect channel, and high energy dissipation are some of the concerns. Quantum-dot cellular automata (QCA) represent an appropriate alternative for possible CMOS replacement in the future because it consumes an insignificant amount of energy compared to the standard CMOS. The key point of designing arithmetic circuits is based on the structure of a 1-bit full adder. A low-complexity full adder block is beneficial for developing various intricate structures. This paper represents scalable 1-bit QCA full adder structures based on cell interaction. Our proposed full adders encompass preference aspects of QCA design, such as a low number of cells used, low latency, and small area occupation. Also, the proposed structures have been expanded to larger circuits, including a 4-bit ripple carry adder (RCA), a 4-bit ripple borrow subtractor (RBS), an add/sub circuit, and a 2-bit array multiplier. All designs were simulated and verified using QCA Designer-E version 2.2. This tool can estimate the energy dissipation as well as evaluate the performance of the circuits. Simulation results showed that the proposed designs are efficient in complexity, area, latency, cost, and energy dissipation.

用于设计量子点元胞自动机算术电路的可扩展1位全加器

[1]Abdullah-Al-Shafi, Bahar AN, 2018. An architecture of 2-dimensional 4-dot 2-electron QCA full adder and subtractor with energy dissipation study. Act Pass Electron Compon, 2018:5062960.

[2]Adelnia Y, Rezai A, 2019. A novel adder circuit design in quantum-dot cellular automata technology. Int J Theor Phys, 58(1):184-200.

[3]Ahmadpour SS, Mosleh M, Heikalabad SR, 2018. A revolution in nanostructure designs by proposing a novel QCA full-adder based on optimized 3-input XOR. Phys B Condens Matter, 550:383-392.

[4]Arani IE, Rezai A, 2018. Novel circuit design of serial-parallel multiplier in quantum-dot cellular automata technology. J Comput Electron, 17(4):1771-1779.

[5]Babaie S, Sadoghifar A, Bahar AN, 2019. Design of an efficient multilayer arithmetic logic unit in quantum-dot cellular automata (QCA). IEEE Trans Circ Syst II Expr Briefs, 66(6):963-967.

[6]Balali M, Rezai A, 2018. Design of low-complexity and high-speed coplanar four-bit ripple carry adder in QCA technology. Int J Theor Phys, 57(7):1948-1960.

[7]Blair E, 2019. Electric-field inputs for molecular quantum-dot cellular automata circuits. IEEE Trans Nanotechnol, 18:453-460.

[8]Cesar TF, Vieira LFM, Vieira MAM, et al., 2020. Cellular automata-based byte error correction in QCA. Nano Commun Netw, 23:100278.

[9]Das JC, De D, 2017. Reversible binary subtractor design using quantum dot-cellular automata. Front Inform Technol Electron Eng, 18(9):1416-1429.

[10]Debnath B, Das JC, De D, 2019. Nanoscale cryptographic architecture design using quantum-dot cellular automata. Front Inform Technol Electron Eng, 20(11):1578-1586.

[11]Erniyazov S, Jeon JC, 2019. Carry save adder and carry look ahead adder using inverter chain based coplanar QCA full adder for low energy dissipation. Microelectron Eng, 211:37-43.

[12]Gassoumi I, Touil L, Mtibaa A, 2021. An efficient design of QCA full-adder-subtractor with low power dissipation. J Electr Comput Eng, 2021:8856399.

[13]Hasani B, Navimipour NJ, 2021. A new design of a carry-save adder based on quantum-dot cellular automata. Iran J Sci Technol Trans Electr Eng, 45(3):993-999.

[14]Heikalabad SR, Asfestani MN, Hosseinzadeh M, 2018. A full adder structure without cross-wiring in quantum-dot cellular automata with energy dissipation analysis. J Supercomput, 74(5):1994-2005.

[15]Heikalabad SR, Salimzadeh F, Barughi YZ, 2020. A unique three-layer full adder in quantum-dot cellular automata. Comput Electr Eng, 86:106735.

[16]Joy UB, Chakraborty S, Tasnim S, et al., 2021. Design of an area efficient quantum dot cellular automata based full adder cell having low latency. 2^nd Int Conf on Robotics, Electrical and Signal Processing Techniques, p.689-693.

[17]Lent CS, Tougaw PD, Porod W, et al., 1993. Quantum cellular automata. Nanotechnology, 4(1):49.

[18]Liu WQ, Lu L, O’Neill M, et al., 2014. A first step toward cost functions for quantum-dot cellular automata designs. IEEE Trans Nanotechnol, 13(3):476-487.

[19]Maharaj J, Muthurathinam S, 2020. Effective RCA design using quantum dot cellular automata. Microprocess Microsyst, 73:102964.

[20]Majeed AH, Zainal MSB, Alkaldy E, et al., 2020. Full adder circuit design with novel lower complexity XOR gate in QCA technology. Trans Electr Electron Mater, 21(2):198-207.

[21]Mohammadi M, Mohammadi M, Gorgin S, 2016. An efficient design of full adder in quantum-dot cellular automata (QCA) technology. Microelectron J, 50:35-43.

[22]Mosleh M, 2019. A novel full adder/subtractor in quantum-dot cellular automata. Int J Theor Phys, 58(1):221-246.

[23]Navidi A, Sabbaghi-Nadooshan R, Dousti M, 2021. A creative concept for designing and simulating quaternary logic gates in quantum-dot cellular automata. Front Inform Technol Electron Eng, 22(11):1541-1550.

[24]Safoev N, Jeon JC, 2020. Design of high-performance QCA incrementer/decrementer circuit based on adder/subtractor methodology. Microprocess Microsyst, 72:102927.

[25]Salimzadeh F, Heikalabad SR, 2021. A full adder structure with a unique XNOR gate based on Coulomb interaction in QCA nanotechnology. Opt Quant Electron, 53(8):479.

[26]Sasamal TN, Singh AK, Ghanekar U, 2018. Efficient design of coplanar ripple carry adder in QCA. IET Circ Dev Syst, 12(5):594-605.

[27]Seyedi S, Navimipour NJ, 2018. An optimized design of full adder based on nanoscale quantum-dot cellular automata. Optik, 158:243-256.

[28]Singh G, Raj B, Sarin RK, 2018. Fault-tolerant design and analysis of QCA-based circuits. IET Circ Dev Syst, 12(5):638-644.

[29]Song ZX, Xie GJ, Cheng X, et al., 2020. An ultra-low cost multilayer RAM in quantum-dot cellular automata. IEEE Trans Circ Syst II Expr Briefs, 67(12):3397-3401.

[30]Walus K, Dysart TJ, Jullien GA, et al., 2004. QCADesigner: a rapid design and simulation tool for quantum-dot cellular automata. IEEE Trans Nanotechnol, 3(1):26-31.

[31]Wang L, Xie GJ, 2019. A power-efficient single layer full adder design in field-coupled QCA nanocomputing. Int J Theor Phys, 58(7):2303-2319.

[32]Wang L, Xie GJ, 2020. A novel XOR/XNOR structure for modular design of QCA circuits. IEEE Trans Circ Syst II Expr Briefs, 67(12):3327-3331.

[33]Xiao LR, Chen XX, Ying SY, 2012. Design of dual-edge triggered flip-flops based on quantum-dot cellular automata. J Zhejiang Univ-Sci C (Comput & Electron), 13(5):385-392.