Quantum Calculus is a branch of mathematics that combines principles from both quantum mechanics and traditional calculus. It focuses on the study of functions and their properties in a quantum context, often involving operators and non-commutative variables. This field aims to provide tools for analyzing systems where quantum effects are significant. In Quantum Calculus, traditional concepts like limits, derivatives, and integrals are redefined to accommodate the peculiarities of quantum systems. Researchers use this framework to explore various applications, including quantum computing and quantum field theory, enhancing our understanding of complex phenomena in the quantum realm.