On the infeasibility of entanglement generation in Gaussian quantum systems via classical control

Details On the infeasibility of entanglement generation in Gaussian quantum systems via classical control On the infeasibility of entanglement generation in Gaussian quantum systems via classical control

2011-07-15

arxiv.org/abs/1107.3174v1

IEEE Transactions on Automatic Control, 57(1), pp. 198-203, January 2012

Computer Science

Systems and Control

6 pages, 3 figures. To appear in IEEE Transactions on Automatic Control, 2011

Scientific paper

10.1109/TAC.2011.2162888

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.

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