Skip to main content
Article thumbnail
Location of Repository

On the stability of quantum dynamical semigroups : a convergence analysis

By Riccardo Lucchese

Abstract

In this work we address the problems of state stabilization and convergence dynamics for finite-dimensional Quantum Dynamical Semigroups generators. We do so by building on the powerful notions of invariant and attractive quantum subsystems. We first recall some recent results due to Francesco Ticozzi and Lorenza Viola providing explicit algebraic characterizations of invariant and attractive subsystems. Then we present a new result on convergence dynamics

Topics: ING-INF/04 Automatica
Year: 2010
OAI identifier: oai:generic.eprints.org:22576/core377
Provided by: Padua@thesis

Suggested articles

Citations

  1. (2007). Analysis of quantum semigroups with GKS-Lindblad generators i. simple generators. arXiv:0710.5385v2, doi
  2. (2008). Analysis of quantum semigroups with GKS-Lindblad generators ii. doi
  3. (2009). Driving quantum system into decoherence-free subspaces by lyapunov control. doi
  4. (2005). Numerical Methods in Engineering with Python. doi
  5. (2006). On protected realizations of quantum information. doi
  6. (2008). Python Scripting for Computational Science. doi
  7. (2007). The structure of preserved information in quantum processes. arXiv:0705.4282v2, doi
  8. (1999). Theory of quantum error correction for general noise. arXiv:quant-ph/9908066v1,

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.