English

Flag-based Control of Orbit Dynamics in Quantum Lindblad Systems

Quantum Physics 2016-02-23 v1

Abstract

In this paper, we demonstrate that the dynamics of an nn-dimensional Lindblad control system can be separated into its inter- and intra-orbit dynamics when there is fast controllability. This can be viewed as a control system on the simplex of density operator spectra, where the flag representing the eigenspaces is viewed as a control variable. The local controllability properties of this control system can be analyzed when the control-set of flags is limited to a finite subset. In particular, there is a natural finite subset of n!n! flags that are effective for low-purity orbits.

Cite

@article{arxiv.1602.06353,
  title  = {Flag-based Control of Orbit Dynamics in Quantum Lindblad Systems},
  author = {Patrick Rooney and Anthony M. Bloch and C. Rangan},
  journal= {arXiv preprint arXiv:1602.06353},
  year   = {2016}
}

Comments

13 pages, 5 figures

R2 v1 2026-06-22T12:54:10.823Z