Fast quantum control in dissipative systems using dissipationless solutions

TL;DR

This paper introduces a geometric method to counteract dissipation effects in open quantum systems, enabling fast, robust quantum control and high-fidelity entanglement generation despite environmental losses.

Contribution

It provides an analytical approach to design additional control fields based on dissipationless solutions, improving quantum control in dissipative environments.

Findings

Analytical expression for compensating magnetic field derived

Method achieves near-perfect fidelity in Bell state generation

Protocol maintains robustness against noise

Abstract

We report on a systematic geometric procedure, built up on solutions designed in the absence of dissipation, to mitigate the effects of dissipation in the control of open quantum systems. Our method addresses a standard class of open quantum systems modeled by non-Hermitian Hamiltonians. It provides the analytical expression of the extra magnetic field to be superimposed to the driving field in order to compensate the geometric distortion induced by dissipation, and produces an exact geometric optimization of fast population transfer. Interestingly, it also preserves the robustness properties of protocols originally optimized against noise. Its extension to two interacting spins restores a fidelity close to unity for the fast generation of Bell state in the presence of dissipation.