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Postulates of Quantum MechanicsExplores the postulates of Quantum Mechanics, emphasizing the state of a system as a complex-valued vector in a Hilbert space.
Exponential of a MatrixExplores the exponential of a matrix, properties, Frobenius norm, nilpotent matrices, commutativity, and system solutions.
Quantum Phase EstimationExplains the Quantum Phase Estimation (QPE) algorithm and its complexity using two registers and SWAP gates.
Total scattering and PDF analysisExplores total scattering and PDF analysis in materials science, covering in-situ synthesis, data analysis techniques, and applications in host-guest systems.