Optimal coherent control to counteract dissipation

TL;DR

This paper develops a general method to design optimal control Hamiltonians that counteract dissipation in quantum systems, aiming to preserve quantum coherence and entanglement despite environmental losses.

Contribution

It introduces a novel approach for determining control Hamiltonians to mitigate dissipation effects in quantum systems, applicable to coherence and entanglement preservation.

Findings

Method successfully identifies control Hamiltonians for specific dissipation scenarios.

Enhanced preservation of quantum coherence in a decaying two-level system.

Improved entanglement robustness in two-qubit systems under local dissipation.

Abstract

We study to what extent the detrimental impact of dissipation on quantum properties can be compensated by suitable coherent dynamics. To this end, we develop a general method to determine the control Hamiltonian that optimally counteracts a given dissipation mechanism, in order to sustain the desired property, and apply it to two exemplary target properties: the coherence of a decaying two-level system, and the entanglement of two qubits in the presence of local dissipation.