Executive Summary : | Collective modes of hybrid quantum systems have become a significant force in designing quantum computation models, with the success of superconducting qubits being a key tenet. These systems leverage the advantages of heterogenous components to achieve optimal performance in various functionalities, such as interacting qubits, quantum circuits, and quantum memories. They are believed to be precursors for the development of a futuristic quantum internet. The key tenet of most hybrid systems is the seamless exchange of information between different nodes of a quantum network. To develop viable quantum technology that can showcase primacy over classical counterparts in the real world, material scientists should access theoretical results that suggest new materials for implementation and provide novel computation and error correction models. The proposed research aims to obtain new frontiers in the theoretical study of quantum computing using collective states of hybrid quantum systems. Two broad aspects have the potential to provide new impetus to the field: modeling a new platform for computing based on interactions of collective states of magnetic domain walls placed inside a cavity, and implementing quantum error correcting codes for computation using large ensembles of spin. The methodology will use computational tools from many-body physics, quantum optics, and machine learning to analyze performance in uncharted operational regimes. The objectives are strongly aligned with the National Mission on Quantum Technologies and Applications launched by the Government of India as a technology frontier for future generations. |