Physics – Quantum Physics
Scientific paper
2011-06-02
Sci. Rep. 1, 88 (2011)
Physics
Quantum Physics
11 pages, 13 figures
Scientific paper
10.1038/srep00088
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.
Aspuru-Guzik Alan
Chen Hongwei
Du Jiangfeng
Li Zhaokai
Lu Dawei
No associations
LandOfFree
Solving Quantum Ground-State Problems with Nuclear Magnetic Resonance does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Solving Quantum Ground-State Problems with Nuclear Magnetic Resonance, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Solving Quantum Ground-State Problems with Nuclear Magnetic Resonance will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-495394