Coherent dynamical control of quantum processes

Manipulation of a quantum system requires the knowledge of how it evolves. To impose that the dynamics of a system becomes a particular target operation (for any preparation of the system), it may be more useful to have an equation of motion for the dynamics itself, rather than the state. Here we develop a Markovian master equation for the process matrix of an open system interacting with a reservoir, which resembles the Lindblad Markovian master equation. We employ this equation to introduce a scheme for optimal local coherent process control at target times and extend the Krotov technique to obtain optimal control. We illustrate utility of this framework through several quantum coherent-control scenarios, such as optimal decoherence suppression, gate simulation, and passive and indirect control of the reservoir, in all of which we aim to simulate a given terminal process at a given final time.

Automated summary

Manipulating a quantum system requires understanding of its evolution, and a Markovian master equation for the process matrix of an open system interacting with a reservoir has been developed. Introducing a scheme and extending techniques can achieve optimal local coherent process control at target times, with utility demonstrated in various quantum coherent control scenarios with different objectives.