This lecture by Artur Izmaylov from the University of Toronto explores how quantum computing can be applied to quantum chemistry problems to demonstrate quantum advantage. Discover the challenges and solutions in encoding electronic Hamiltonians on quantum computers, particularly for strongly correlated systems. Learn about innovative techniques for partitioning Hamiltonians into diagonalizable fragments using small Lie groups or the Clifford group, which facilitates circuit compiling and quantum measurement. See practical demonstrations of how these partitioning methods improve the performance of quantum algorithms like the Variational Quantum Eigensolver and Quantum Phase Estimation. Gain insights into the classical computing techniques being developed to enhance quantum computing algorithms for solving electronic structure problems.