Action-noise-assisted quantum control

We study the effect of action noise on state-to-state control protocols. Action noise creates dephasing in the instantaneous eigenbasis of the Hamiltonian and hampers the fidelity of the final state with respect to the target state. We find that for shorter protocols the noise more strongly influences the dynamics and degrades fidelity. We suggest improving the fidelity by inducing stronger dephasing rates along the process. The effects of action noise on the dynamics and its manipulation is described for a general Hamiltonian and is then studied by examples.We acknowledge J. G. Muga for fruitful discussions and for drawing our attention to his related work. We are grateful to L. McCaslin for useful comments. This work was funded by the US Army Research Office under Contract W911NF15-1-0250 and the Basque Government (Grant No. IT986-16), MINECO/FEDER,UE (Grants No. FIS2015-67161-P and No. FIS2015-70856-P), and QUITEMAD+CM S2013-ICE2801