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arXiv:quant-ph/0410007 · Physics Letters A

Quantum simulation of pairing models on an NMR quantum computer

An Min Wang, Xiaodong Yang

Published Dec 10, 2005• 8 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2005.12.012

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We propose an improving scheme of quantum simulation of pairing model on an NMR quantum computer. Our scheme simplifies the preparation of the initial state, does not need the rotation step, clarifies the role of NMR measure and uses the second (discrete) Fourier transformation to obtain the spectrum of paring model. We concretely discuss the case in the concerned subspaces of pairing model and then, as an example, give out a simple and easily prepared initial state to get the gap of two the lowest energy levels in the given subspace. The quantum simulation to get more differences of energy levels is able to be discussed similarly.
Simulating nuclear magnetic resonance (NMR) spectra is a promising application of quantum simulation. Using Quantinuum's System Model H2, a trapped-ion quantum computer, we demonstrate an end-to-end, large-scale digital NMR simulation of a classically challenging benchmark molecule, 1,2-di-tert-butyl-diphosphane. We implement a hardware-efficient reduction of the nuclear-spin Hamiltonian, enabling Trotterized real-time evolution of an effective 21-spin model with tailored error suppression to reduce the effects of device noise. The reconstructed liquid-state proton NMR spectrum agrees with classical reference calculations and reproduces key spectroscopic features that previous quantum hardware demonstrations did not capture. Given the widespread use of NMR in chemical analysis and industrial research, these results advance digital quantum simulation of NMR spectra towards practical quantum utility.