The continuous scaling limitations of Complementary Metal Oxide Semiconductor (CMOS) technology have motivated researchers to investigate alternative nanotechnology-based computing architectures. Quantum Dot Cellular Automata (QCA) has emerged as one of the most promising candidates for future Very Large-Scale Integration (VLSI) systems due to its ultra-low power consumption, high device density, reduced area occupancy, and high-speed operation. Unlike CMOS technology, QCA eliminates the need for transistors and represents binary information through the polarization states of quantum cells. This paper presents a comprehensive study of QCA circuits and their application in VLSI design. The work surveys recent developments in QCA-based logic gates, arithmetic circuits, multiplexers, memory elements, and nanocomputing architectures. Furthermore, an optimized QCA-based logic architecture is proposed utilizing efficient majority gate structures and improved cell placement techniques to reduce delay, cell count, and power dissipation. Simulation analysis demonstrates significant improvements in circuit area and operational efficiency compared with conventional CMOS-based implementations. The proposed methodology highlights the potential of QCA technology in realizing future nanoscale VLSI systems capable of supporting high-performance and energy-efficient computing applications.