We derive a set of composite pulse sequences that generates CNOT gates and correct all systematic errors within the logical subspace to arbitrary order. These sequences are applicable for any two-qubit interaction Hamiltonian, and make no assumptions about the underlying noise mechanism except that it is constant on the timescale of the operation. We do assume access to error-free single-qubit gates, so single-qubit gate imperfections eventually limit the achievable fidelity. However, since single-qubit gates generally have much higher fidelities than two-qubit gates in practice, these pulse sequences offer useful dynamical correction for a wide range of coupled qubit systems.
@article{arxiv.1607.04638,
title = {Dynamically Correcting a CNOT Gate for any Systematic Logical Error},
author = {Fernando A. Calderon-Vargas and J. P. Kestner},
journal= {arXiv preprint arXiv:1607.04638},
year = {2017}
}