Brian Grajales

collaborators

4 papers

quant-ph2024

Characterizing Optimal-speed unitary time evolution of pure and quasi-pure quantum states

John A. Mora Rodríguez, Brian Grajales, Marcelo Terra Cunha +1

We present a characterization of the Hamiltonians that generate optimal-speed unitary time evolution and the associated dynamical trajectory, where the initial states are either pu…

math.DG2024

Riemannian Geometry of $G_{2}$ -type Real Flag Manifolds

Brian Grajales, Gabriel Rondón, Julieth Saavedra

In this paper, we investigate homogeneous Riemannian geometry on real flag manifolds of the split real form of $g_{2}$ . We characterize the metrics that are invariant unde…

math.DG2023

Equigeodesic vectors on compact homogeneous spaces with equivalent isotropy summands

Brian Grajales, Lino Grama

In this paper, we investigate equigeodesics on a compact homogeneous space $M = G / H .$ We introduce a formula for the identification of equigeodesic vectors only relying on the isotro…

math.AP2023

Control of the Cauchy problem on Hilbert spaces: A global approach via symbol criteria

Duván Cardona, Julio Delgado, Brian Grajales +1

Let $A$ and $B$ be invariant linear operators with respect to a decomposition ${H_{j}}_{j \in N}$ of a Hilbert space $H$ in subspaces of finite dimension. We gi…

Characterizing Optimal-speed unitary time evolution of pure and quasi-pure quantum states

Riemannian Geometry of G2​-type Real Flag Manifolds

Equigeodesic vectors on compact homogeneous spaces with equivalent isotropy summands

Control of the Cauchy problem on Hilbert spaces: A global approach via symbol criteria

Riemannian Geometry of $G_{2}$ -type Real Flag Manifolds