4 papers
A Compass on the Quantum State Sphere: The Hopf Ansatz for Arbitrary Pure-State Optimization
Ruge Lin, Guangxi Li
Optimizing arbitrary quantum state vectors is like navigating the unit sphere in Hilbert space: beyond target reachability, optimization asks for coordinates, local distance inform…
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 $…