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This 45-minute lecture explores the complex relationship between noise, monitoring, symmetry breaking, and chaos in quantum systems as part of the "Quantum Trajectories" program at the International Centre for Theoretical Sciences. Delve into cutting-edge theoretical physics concepts presented by Adolfo del Campo during the January-February 2025 program held at the Ramanujan Lecture Hall in ICTS Bengaluru. Learn how advances in high-speed electronics and low-temperature technologies have revolutionized quantum matter studies, enabling experiments that the founders of quantum mechanics could hardly have imagined. Understand the theoretical foundations supporting the second quantum revolution, which promises breakthroughs in quantum-based encryption, communication, and computing. This lecture contributes to a broader program addressing central theoretical questions across quantum trajectories, quantum control, measurement-induced phase transitions, and quantum information and computation, bringing together theoretical, experimental, and mathematical researchers to foster collaboration and innovation in the field.
