This 24-minute lecture from the "Quantum Trajectories" program at the International Centre for Theoretical Sciences explores expedited noise spectroscopy techniques for transmon qubits. Presented by Bhavesh Gupta, the talk is part of a broader initiative organized by Michel Bauer, Cedric Bernardin, Raphael Chetrite, and Abhishek Dhar that brings together theoretical physics, applied mathematics, and experimental approaches to quantum systems. Learn about cutting-edge methods for characterizing noise in superconducting quantum circuits, contributing to the advancement of quantum computing hardware. The lecture was delivered during the January-February 2025 program held at the Ramanujan Lecture Hall in ICTS Bengaluru, which focused on quantum trajectories, quantum control, measurement-induced phase transitions, and quantum information and computation.