Efficient implementation of selective recoupling in heteronuclear spin systems using Hadamard matrices

Details Efficient implementation of selective recoupling in heteronuclear spin systems using Hadamard matrices Efficient implementation of selective recoupling in heteronuclear spin systems using Hadamard matrices

1999-04-28

arxiv.org/abs/quant-ph/9904100v1

Phys.Rev.A61:042310,2000

Physics

Quantum Physics

7 pages, 4 figures, mypsfig2, revtex, submitted April 27, 1999

Scientific paper

10.1103/PhysRevA.61.042310

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 $c n^2$ pulses where $c \approx 1$. 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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