  The Uhrig dynamical decoupling sequence achieves high-order decoupling of a
single system qubit from its dephasing bath through the use of bang-bang Pauli
pulses at appropriately timed intervals. High-order decoupling of single and
multiple qubit systems from baths causing both dephasing and relaxation can
also be achieved through the nested application of Uhrig sequences, again using
single-qubit Pauli pulses. For the 3-qubit decoherence free subsystem (DFS) and
related subsystem encodings, Pauli pulses are not naturally available
operations; instead, exchange interactions provide all required encoded
operations. Here we demonstrate that exchange interactions alone can achieve
high-order decoupling against general noise in the 3-qubit DFS. We present
decoupling sequences for a 3-qubit DFS coupled to classical and quantum baths
and evaluate the performance of the sequences through numerical simulations.
