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We derive a set of composite pulse sequences that generates CNOT gates andcorrect all systematic errors within the logical subspace to arbitrary order.These sequences are applicable for any two-qubit interaction Hamiltonian, andmake no assumptions about the underlying noise mechanism except that it isconstant on the timescale of the operation. We do assume access to error-freesingle-qubit gates, so single-qubit gate imperfections eventually limit theachievable fidelity. However, since single-qubit gates generally have muchhigher fidelities than two-qubit gates in practice, these pulse sequences offeruseful dynamical correction for a wide range of coupled qubit systems.

Dynamically Correcting a CNOT Gate for any Systematic Logical Error