All Abstracts | Poster Abstracts | Talk Abstracts

Quantum state stabilization with engineered quasi-local Markovian dissipation

Lorenza Viola, dartmouth College

(Session 2 : Thursday from 1:30 - 2:15)

Abstract. Harnessing dissipation is a goal of increasing significance for quantum control. In this context, characterizing Markovian evolutions which admit a desired pure state as their unique asymptotically stable state is both relevant for a system-theoretic understanding of open-system stability properties and potentially useful for dissipative quantum state preparation. In this talk, I will focus on addressing under which conditions a multip-artite qubit system can be driven to a desired pure entangled state by a Lindblad dynamics that obeys suitably defined "quasi-locality" constraints. I will first present a necessary and sufficient linear-algebraic criterion for the simplest scenario where the target system is drift-less and quasi local stabilization is possible for arbitrary initial states solely based on dissipative control resources. If the required conditions are not met, I will further address whether the control objective may be achieved conditional upon initialization in a proper subspace and/or by additionally exploiting Hamiltonian control. Applications to engineering entangled states of physical interest and explicit schemes for synthesizing the required controls will be discussed.