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We demonstrate how using two-qubit composite rotations a high fidelitycontrolled-NOT (CNOT) gate can be constructed, even when the strength of theinteraction between qubits is not accurately known. We focus on the exchangeinteraction oscillation in silicon based solid-state architectures with aHeisenberg Hamiltonian. This method easily applies to a general two-qubitHamiltonian. We show how the robust CNOT gate can achieve a very high fidelitywhen a single application of the composite rotations is combined with a modestlevel of Hamiltonian characterisation. Operating the robust CNOT gate in asuitably characterised system means concatenation of the composite pulse isunnecessary, hence reducing operation time, and ensuring the gate operatesbelow the threshold required for fault-tolerant quantum computation.Comment: 9 pages, 8 figure

Robust controlled-NOT gate in the presence of large fabrication-induced variations of the exchange interaction strength