dorsal/arxiv
View SchemaEfficient implementation of selective recoupling in heteronuclear spin systems using Hadamard matrices
| Authors | Debbie W. Leung, Isaac L. Chuang, Fumiko Yamaguchi, Yoshihisa Yamamoto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9904100 |
| URL | https://arxiv.org/abs/quant-ph/9904100 |
| DOI | 10.1103/PhysRevA.61.042310 |
| Journal | Phys.Rev.A61:042310,2000 |
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 $c n^2$ 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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"abstract": "We present an efficient scheme which couples any designated pair of spins in\nheteronuclear spin systems. The scheme is based on the existence of Hadamard\nmatrices. For a system of $n$ spins with pairwise coupling, the scheme\nconcatenates $cn$ intervals of system evolution and uses at most $c n^2$ pulses\nwhere $c \\approx 1$. Our results demonstrate that, in many systems, selective\nrecoupling is possible with linear overhead, contrary to common speculation\nthat exponential effort is always required.",
"arxiv_id": "quant-ph/9904100",
"authors": [
"Debbie W. Leung",
"Isaac L. Chuang",
"Fumiko Yamaguchi",
"Yoshihisa Yamamoto"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.61.042310",
"journal_ref": "Phys.Rev.A61:042310,2000",
"title": "Efficient implementation of selective recoupling in heteronuclear spin systems using Hadamard matrices",
"url": "https://arxiv.org/abs/quant-ph/9904100"
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