Indirect controllability of two interacting qubits in presence of dissipation: a first analysis

TL;DR

This paper investigates the controllability of a two-qubit quantum system where only one qubit interacts with the environment and control fields, revealing limitations in controlling the second qubit.

Contribution

It provides the first analysis of indirect controllability in a bipartite open quantum system with dissipation, highlighting inherent limitations.

Findings

Controllability of the second qubit is limited under the given conditions.

The analysis offers negative results on the possibility of full control.

The study advances understanding of control in open quantum systems with dissipation.

Abstract

We consider a bipartite open quantum system constituted by two interacting qubits $A$ and $B$, assuming that the former is coupled to the environment and is directly affected by coherent control, while the latter does not interact directly with the environment and the control fields. We are interested in the controllability properties of the subsystem $B$. In this paper, we give a first analysis of the problem and provide some negative answers.