The variational quantum eigensolver is an algorithm that can simulate chemical reactions.[^1] It solves for the eigenvalues of a large matrix efficiently.[^1] First it prepares the quantum Ansatz, then you measure the expectation value. It is a hybrid algorithm that utilizes a quantum step inside of a classical optimization loop[^1]. Due to the variational principle, the expected value is larger than the smallest eigenvalue of the Hamiltonian.[^1] The quantum subroutine moves the expected value closer to the smallest eigenvalue of the Hamiltonian that represents the problem[^1]. The minimum energy can be used in other calculations. This algorithm is implemented as a shallow circuit.[^1]
[[Chemistry Applications of Schrodinger’s Equation]]
[[Quantum Ansatz]]
[[Shallow Quantum Circuit]]
- QuantumAlgorithmsThat