We propose two quantum error-correction schemes which increase the max
imum storage time for qubits in a system of cold-trapped ions, using a
minimal number of ancillary qubits. Both schemes consider only the er
rors introduced by the decoherence due to spontaneous emission from th
e upper levels of the ions. Continuous monitoring of the ion fluoresce
nce is used in conjunction with selective coherent feedback to elimina
te these errors immediately following spontaneous emission events.