We analyze quantum state-transfer optimization within hybrid open systems, from a noisy (write-in) qubit to its quiet counterpart (storage qubit). Intriguing interplay is revealed between our ability to avoid bath-induced errors that profoundly depen
d on the bath-memory time and the limitations imposed by leakage out of the operational subspace. Counterintuitively, under no circumstances is the fastest transfer optimal (for a given transfer energy).
