Optimal correction of independent and correlated errors

Sol H. Jacobsen, Florian Mintert

Published 2013-02-26, updated 2014-01-15Version 2

We identify optimal quantum error correction codes for situations that do not admit perfect correction. We provide analytic n-qubit results for standard cases with correlated errors on multiple qubits and demonstrate significant improvements to the fidelity bounds and optimal entanglement decay profiles.