2 papers
quant-ph2025
Riemannian gradient descent-based quantum algorithms for ground state preparation with guarantees
Mahum Pervez, Ariq Haqq, Nathan A. McMahon +1
We investigate Riemannian gradient flows for preparing ground states of a desired Hamiltonian on a quantum device. We show that the number of steps of the corresponding Riemannian…
quant-ph2025
Equating quantum imaginary time evolution, Riemannian gradient flows, and stochastic implementations
Nathan A. McMahon, Mahum Pervez, Christian Arenz
We identify quantum imaginary time evolution as a Riemannian gradient flow on the unitary group. We develop an upper bound for the error between the two evolutions that can be cont…