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Performances of work-to-work conversion are studied for a dissipativenonlinear quantum system with two isochromatic phase-shifted drives. It isshown that for weak Ohmic damping simultaneous maximization of efficiency withfinite power yield and low power fluctuations can be achieved. Optimalperformances of these three quantities are accompanied by a shortfall of thetrade-off bound recently introduced for classical thermal machines. This boundcan be undercut down to zero for sufficiently low temperature and weakdissipation, where the non-Markovian quantum nature dominates. Analytic resultsare given for linear thermodynamics. These general features can persist in thenonlinear driving regime near to a maximum of the power yield and a minimum ofthe power fluctuations. This broadens the scope to a new operation field beyondlinear response.

Optimal work-to-work conversion of a nonlinear quantum brownian duet