  In this manuscript, we present relaxation optimized methods for transfer of
bilinear spin correlations along Ising spin chains. These relaxation optimized
methods can be used as a building block for transfer of polarization between
distant spins on a spin chain. Compared to standard techniques, significant
reduction in relaxation losses is achieved by these optimized methods when
transverse relaxation rates are much larger than the longitudinal relaxation
rates and comparable to couplings between spins. We derive an upper bound on
the efficiency of transfer of spin order along a chain of spins in the presence
of relaxation and show that this bound can be approached by relaxation
optimized pulse sequences presented in the paper.
