5 citations · 5 across the 4 of their papers we have counts for
5 papers
Compass in the Mirror: Quantum Backpropagation with the Hopf Ansatz
Ruge Lin, Ranyiliu Chen
A variational quantum state may have many control angles, and its complete gradient contains one derivative for each. The task is to turn access to selected derivatives into a shar…
A Compass on the Quantum State Sphere: The Hopf Ansatz for Arbitrary Pure-State Optimization
Ruge Lin, Guangxi Li
Optimizing an arbitrary pure state requires more than a circuit that can prepare it: one also needs coordinates, local distance information, and measurable derivative directions. W…
Quantum optimization with exact geodesic transport
André J. Ferreira-Martins, Renato M. S. Farias, Giancarlo Camilo +6
We introduce an architecture for variational quantum algorithms that can be efficiently trained via parameter updates along exact geodesics on the Riemannian state manifold. This f…
Arithmetic sequences as quantum states
Ruge Lin, Germán Sierra, José I. Latorre
We consider arithmetic sequences, here defined as ordered lists of positive integers. Any such a sequence can be cast onto a quantum state, enabling the quantification of its `surp…
Quantum encoder for fixed Hamming-weight subspaces
Renato M. S. Farias, Thiago O. Maciel, Giancarlo Camilo +3
We present an exact -qubit computational-basis amplitude encoder of real- or complex-valued data vectors of components into a subspace of fixed Hamming weight $…