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• W2034692119 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 computers" @default.
• W2034692119 created "2016-06-24" @default.
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• W2034692119 date "2011-09-09" @default.
• W2034692119 modified "2023-10-14" @default.
• W2034692119 title "Solving Quantum Ground-State Problems with Nuclear Magnetic Resonance" @default.
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• W2034692119 doi "https://doi.org/10.1038/srep00088" @default.
• W2034692119 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/3216574" @default.
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