Mars exploration and settlement need visionary In-Situ Resource Utilization (ISRU) technologies capable of dealing with harsh Martian environmental conditions. Our paper introduces PlasmaQore, a groundbreaking Hybrid Quantum Plasma Reactor capable of efficiently processing Martian atmospheric resources into methane and oxygen through advanced plasma-assisted reactions and quantum computing algorithms. Capitalizing on Mars' CO2-logged atmosphere and water ice deposits, the reactor pairs quantum mechanics and plasma physics in order to achieve the highest energy efficiency and reactor stability. The system realizes a remarkable 78% efficiency in methane yield under Martian simulation conditions, with cryogenic liquefaction recovery rates of more than 92% for oxygen and methane. In addition to the integration of quantum feedback control modules, the reactor exhibits a reduction in energy losses of 8-10% compared to standard static arrangements. Key innovations include a Mars-compatible triboelectric nanogenerator for energy harvesting, magnetohydrodynamic electricity generation, and a superconducting quantum computing module for real-time optimization of plasma parameters. The reactor is operated successfully over extreme temperature ranges between -125◦C and 20◦C, with up to 34% activation energy reduction by quantum-optimized plasma confinement. Our study is a landmark in producing sustainable fuel for planetary missions, providing a technological foundation for extended space travel and potential Martian colonization. PlasmaQore is proposed as a transformative solution for NASA’s ISRU mission framework, offering a sustainable approach to fuel production and reducing reliance on Earth-based resources. Its architecture not only addresses proximal ISRU issues but also sets a new paradigm for extraterrestrial resource utilization and closed-loop ecosystem establishment.