  Ongoing research and experiments have enabled quantum memory to realize the
storage of qubits. On the other hand, interleaving techniques are used to deal
with burst of errors. Effective interleaving techniques for combating burst of
errors by using classical error-correcting codes have been proposed in several
articles found in the literature, however, to the best of our knowledge, little
is known regarding interleaving techniques for combating clusters of errors in
topological quantum error-correcting codes. Motivated by that, in this work, we
present new three and four-dimensional toric quantum codes which are featured
by lattice codes and apply a quantum interleaving method to such new three and
four-dimensional toric quantum codes. By applying such a method to these new
codes we provide new three and four-dimensional quantum burst-error-correcting
codes. As a consequence, new three and four-dimensional toric and
burst-error-correcting quantum codes are obtained which have better information
rates than those three and four-dimensional toric quantum codes from the
literature. In addition to these proposed three and four-dimensional quantum
burst-error-correcting codes improve such information rates, they can be used
for burst-error-correction in errors which are located, quantum data stored and
quantum channels with memory.
