期刊
SCIENTIFIC REPORTS
卷 1, 期 -, 页码 -出版社
NATURE PUBLISHING GROUP
DOI: 10.1038/srep00088
关键词
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资金
- Croucher Foundation
- DARPA [N66001-09-1-2101-DOD35CAP]
- Camille and Henry Dreyfus Foundation
- Sloan Foundation
- NSF Center for Quantum Information and Computation for Chemistry [CHE-1037992]
- National Nature Science Foundation of China
- CAS
- National Fundamental Research Program [2007CB925200]
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
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