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We theoretically demonstrate that nuclear spins can be harnessed tocoherently control two-electron spin states in a double quantum dot. Hyperfineinteractions lead to an avoided crossing between the spin singlet state and thems = +1 triplet state, T_+ . We show that a coherent superposition of singletand triplet states can be achieved using finite-time Landau-Zener-St\"uckelberginterferometry. In this system the coherent rotation rate is set by the Zeemanenergy, resulting in ~1 nanosecond single spin rotations. We analyze thecoherence of this spin qubit by considering the coupling to the nuclear spinbath and show that T_2^* ~ 16 ns, in good agreement with experimental data. Ouranalysis further demonstrates that efficient single qubit and two qubit controlcan be achieved using Landau-Zener-St\"uckelberg interferometry.

Harnessing the GaAs quantum dot nuclear spin bath for quantum control