33 citations · 64 across the 3 of their papers we have counts for
3 papers
quant-ph2020★ 8 cited
Quantum polar decomposition algorithm
Seth Lloyd, Samuel Bosch, Giacomo De Palma +5
The polar decomposition for a matrix is , where is a positive Hermitian matrix and is unitary (or, if is not square, an isometry). This paper shows that the a…
quant-ph2020★ 23 cited
Quantum Medical Imaging Algorithms
Bobak Toussi Kiani, Agnes Villanyi, Seth Lloyd
A central task in medical imaging is the reconstruction of an image or function from data collected by medical devices (e.g., CT, MRI, and PET scanners). We provide quantum algorit…
quant-ph2020★ 33 cited
Learning Unitaries by Gradient Descent
Bobak Toussi Kiani, Seth Lloyd, Reevu Maity
We study the hardness of learning unitary transformations in via gradient descent on time parameters of alternating operator sequences. We provide numerical evidence that, d…