On the infeasibility of entanglement generation in Gaussian quantum systems via classical control
For quantum control and information, this paper provides a rigorous system-theoretic proof of a fundamental limitation, but the result is theoretically expected and incremental.
This paper proves that classical linear time invariant controllers cannot generate steady-state or finite-time entanglement in bipartite Gaussian quantum systems initialized in Gaussian states, reinforcing the principle that local operations and classical communication cannot create entanglement from separable states.
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.