On the infeasibility of entanglement generation in Gaussian quantum systems via classical control
Abstract
This paper uses a system theoretic approach to show that classical linear time invariant controllers cannot generate steady state entanglement in a bipartite Gaussian quantum system which is initialized in a Gaussian state. The paper also shows that the use of classical linear controllers cannot generate entanglement in a finite time from a bipartite system initialized in a separable Gaussian state. The approach reveals connections between system theoretic concepts and the well known physical principle that local operations and classical communications cannot generate entangled states starting from separable states.
 Publication:

arXiv eprints
 Pub Date:
 July 2011
 arXiv:
 arXiv:1107.3174
 Bibcode:
 2011arXiv1107.3174N
 Keywords:

 Computer Science  Systems and Control;
 Mathematics  Optimization and Control;
 Quantum Physics
 EPrint:
 6 pages, 3 figures. To appear in IEEE Transactions on Automatic Control, 2011