Solving Quantum Ground-State Problems with Nuclear Magnetic Resonance
Author
Li, Zhaokai
Yung, Man-Hong
Chen, Hongwei
Lu, Dawei
Whitfield, James D.
Peng, Xinhua
Published Version
https://doi.org/10.1038/srep00088Metadata
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Li, Zhaokai, Man-Hong Yung, Hongwei Chen, Dawei Lu, James D. Whitfield, Xinhua Peng, Alán Aspuru-Guzik, and Jiangfeng Du. 2011. Solving quantum ground-state problems with nuclear magnetic resonance. Scientific Reports 1: 88.Abstract
Quantum ground-state problems are computationally hard problems for general many-body Hamiltonians; there is no classical or quantum algorithm known to be able to solve them efficiently. Nevertheless, if a trial wavefunction approximating the ground state is available, as often happens for many problems in physics and chemistry, a quantum computer could employ this trial wavefunction to project the ground state by means of the phase estimation algorithm (PEA). We performed an experimental realization of this idea by implementing a variational-wavefunction approach to solve the ground-state problem of the Heisenberg spin model with an NMR quantum simulator. Our iterative phase estimation procedure yields a high accuracy for the eigenenergies (to the \(10^{−5}\) decimal digit). The ground-state fidelity was distilled to be more than 80%, and the singlet-to-triplet switching near the critical field is reliably captured. This result shows that quantum simulators can better leverage classical trial wave functions than classical computersOther Sources
http://arxiv.org/abs/1106.0440Terms of Use
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