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Solving Quantum Ground-State Problems with Nuclear Magnetic Resonance
- Source :
- Scientific Reports
- Publication Year :
- 2011
- Publisher :
- Nature Publishing Group, 2011.
-
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 wavefunctions than classical computers.<br />11 pages, 13 figures
- Subjects :
- Quantum Physics
Multidisciplinary
FOS: Physical sciences
Quantum simulator
02 engineering and technology
021001 nanoscience & nanotechnology
01 natural sciences
Article
0103 physical sciences
Spin model
Quantum algorithm
Statistical physics
Quantum Physics (quant-ph)
010306 general physics
0210 nano-technology
Ground state
Wave function
Realization (systems)
Quantum
Quantum computer
Subjects
Details
- Language :
- English
- ISSN :
- 20452322
- Database :
- OpenAIRE
- Journal :
- Scientific Reports
- Accession number :
- edsair.doi.dedup.....312ab1c2957b1b274a7d5a0b0de4658b
- Full Text :
- https://doi.org/10.1038/srep00088