Autonomous operations and steady state maps beyond Lindblad - Kyle Monkman

An autonomous quantum operation is a quantum channel implemented without measurements and with minimal classical control. This field has generally sought to implement operations by coupling states to an external environment. For example, a qubit-reset can be done with spontaneous emission, decaying from the initial state to an ending steady-state. In this talk, I will discuss the idea of implementing autonomous operations by coupling the state to a controlled ancilla system instead of a passive external environment. This comes with an additional level of control but also additional practical and theoretical challenges. One thing I have found is that with a large ancilla, one can implement a map from initial to steady state that is not implementable with time-independent Lindblad equations. This gives us a hint that controlled ancillas may give us a larger range of autonomous maps than through Lindblad engineering. I present this work to invite discussion and potential collaboration with the Calgary research community.