Quantum Feedback Control in Superconducting Qubits

This document presents an overview of research conducted within the Department of Condensed Matter Physics and Materials Science at the Tata Institute of Fundamental Research. The primary objective is to investigate the nature of materials in various condensed phases, including superconductors and semiconductors, by examining the electronic, physical, mechanical, optical, and chemical properties of these materials in relation to their structures. Methodologically, the research employs experimental measurements using various advanced techniques, such as quantum error correction, cryogenic temperature experiments, and nano-lithography. Emphasis is placed on the challenges posed by decoherence in quantum systems and the potential use of field-programmable gate arrays for ultra-fast signal processing to implement quantum feedback control. Results highlight the crucial interplay between strongly correlated electrons and physical phenomena such as magnetism and superconductivity, while also exploring modified properties of electrons confined in nanostructures by quantum mechanical effects. The findings indicate that these experimental setups not only enhance the understanding of fundamental physics but also facilitate the development of innovative applications in the field of condensed matter physics.