A quantum gradient-descent (power iteration) algorithm with LCU implementation is proposed for molecular ground-state energies, with numerical demos for H2, LiH, H2O, and NH3.
Iterative Methods for Computing Eigenvalues and Eigenvectors
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abstract
We examine some numerical iterative methods for computing the eigenvalues and eigenvectors of real matrices. The five methods examined here range from the simple power iteration method to the more complicated QR iteration method. The derivations, procedure, and advantages of each method are briefly discussed.
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2019 1verdicts
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A Full Quantum Eigensolver for Quantum Chemistry Simulations
A quantum gradient-descent (power iteration) algorithm with LCU implementation is proposed for molecular ground-state energies, with numerical demos for H2, LiH, H2O, and NH3.