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Explore cutting-edge research in quantum computing and computer science through this comprehensive seminar series featuring 20 recorded talks from leading researchers at the Centre for Quantum Technologies in Singapore. Delve into advanced topics spanning quantum differential privacy from an information theory perspective, classical verification methods for quantum computations, and the complexity of lattice problems. Examine theoretical foundations including area laws for 2D frustration-free spin systems, efficient algorithms for synthesizing T-count and T-depth optimal circuits, and exponential quantum communication reductions. Investigate practical applications such as composably secure device-independent encryption with certified deletion, quantum learning algorithms and their implications for circuit lower bounds, and multi-armed quantum bandits exploring the balance between exploration and exploitation. Study emerging areas including quantum hidden Markov models and their reconstruction, out-of-distribution generalization for learning quantum dynamics, and quantum neural architecture search using quantum circuits distance and Bayesian optimization. Learn about recent advances in zero-knowledge protocols in quantum settings, incompatibility and contextuality in quantum systems, and methods for preparing arbitrary continuous functions in quantum registers with logarithmic complexity. Gain insights into spatial search acceleration through continuous-time quantum walks and explore frameworks for quantum strong exponential-time hypothesis and invariance principles for positive spectrahedra.
