Bobak T. Kiani

Learning Unitaries by Gradient Descent

2020 · arXiv (Cornell University)

We study the hardness of learning unitary transformations in $U(d)$ via gradient descent on time parameters of alternating operator sequences. We provide numerical evidence that, despite the non-convex nature of the loss landscape, gradient descent …

Hamiltonian singular value transformation and inverse block encoding

2021 · arXiv (Cornell University)

The quantum singular value transformation is a powerful quantum algorithm that allows one to apply a polynomial transformation to the singular values of a matrix that is embedded as a block of a unitary transformation. …