From the 1 of 4 linked papers with an AI index.
4 papers
A Compass on the Quantum State Sphere: The Hopf Ansatz for Arbitrary Pure-State Optimization
Ruge Lin, Guangxi Li
The paper presents the Hopf ansatz, a binary‑tree quantum circuit that both prepares arbitrary pure states and provides an inverse mapping to coordinates, enabling efficient gradie…
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…
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 $…
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…