Summary: Let \(H\) and \(K\) be complex Hilbert spaces, while \({\mathcal B}(H)\) and \({\mathcal B}(K)\) denote the algebras of all linear bounded operators on \(H\) and \(K\), respectively. We characterize surjective linear mappings from \({\mathcal B}(H)\) onto \({\mathcal B}(K)\) that preserve potent operators in both directions.