Efficient implementation of selective recoupling in heteronuclear spin systems using Hadamard matrices
Debbie W. Leung, Isaac L. Chuang, Fumiko Yamaguchi, Yoshihisa Yamamoto
Abstract
We present an efficient scheme which couples any designated pair of spins in heteronuclear spin systems. The scheme is based on the existence of Hadamard matrices. For a system of n spins with pairwise coupling, the scheme concatenates cn intervals of system evolution and uses at most c n2 pulses where c ≈ 1. Our results demonstrate that, in many systems, selective recoupling is possible with linear overhead, contrary to common speculation that exponential effort is always required.
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