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Estimation of Coupling Constants of a Three-Spin Chain: Case Study of Hamiltonian Tomography with NMR

arXiv
Authors: Elham Hosseini Lapasar, Koji Maruyama, Daniel Burgarth, Takeji Takui, Yasushi Kondo, Mikio Nakahara

Year

2011

Paper ID

29869

Status

Preprint

Abstract Read

~2 min

Abstract Words

70

Citations

N/A

Abstract

It has been shown that inter-spin interaction strengths in a spins-1/2 chain can be evaluated by accessing one of the edge spins only. We demonstrate this experimentally for the simplest case, a three-spin chain, with nuclear magnetic resonance (NMR) technique. The three spins in the chain interact through nearest-neighbor Ising interactions under site-dependent transverse fields. The employed molecule is an alanine containing three 13C nuclei, each of which has spin-1/2.

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  • It has been shown that inter-spin interaction strengths in a spins-1/2 chain can be evaluated by accessing one of the edge spins only.

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