Quantum computing emerges as a pivotal solution to classical computing limitations in the post-Moore era, offering superior capabilities through qubits’ unique properties of superposition, entanglement and interference. Actually, we are in the Noisy Intermediate-Scale Quantum era where quantum computing faces challenges such as limited resources and fault-tolerant circuit implementation. Scarce development resources hinder quantum algorithm and circuit progress, necessitating optimized compilers and methodologies. Presently, two dominant paradigms, general-purpose quantum computing and adiabatic computing, drive quantum advancements, with notable platforms including IBM’s Qiskit and D-Wave. The ongoing research focuses on optimizing quantum circuits, particularly through novel gate implementations like Peres, TR, and GN gates, aimed at reducing T-count and T-depth. Preliminary results demonstrate promising reductions in these metrics, enhancing computational efficiency while adapting to the constraints of real quantum platforms. These endeavors aim to foster a repository of quantum routines, facilitating broader community access to quantum computational resources.