Adiabatic Quantum Simulators
| Title: | Adiabatic Quantum Simulators |
| Author: |
Biamonte, J. D; Bergholm, V.; Whitfield, James D.; Fitzsimons, J.; Aspuru-Guzik, Alan
Note: Order does not necessarily reflect citation order of authors. |
| Citation: | Biamonte, J.D., V. Bergholm, J.D. Whitfield, J. Fitzsimons, and A. Aspuru-Guzik. 2011. Adiabatic quantum simulators. Preprint, Dept. of Chemistry and Chemical Biology, Harvard University. |
| Full Text & Related Files: |
1002.0368v1.pdf (154.6Kb; PDF) 
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| Abstract: | In his famous 1981 talk, Feynman proposed that unlike classical computers, which would presumably experience an exponential slowdown when simulating quantum phenomena, a universal quantum simulator would not. An ideal quantum simulator would be error resistant, easily controllable, and built using existing technology. Moving away from gate-model and projective measurement based implementations of quantum computing may offer a less resource-intensive, and consequently a more feasible solution. Here we consider an adiabatic quantum simulator which simulates the ground state properties of sparse Hamiltonians consisting of one- and two-body interaction terms, using sparse Hamiltonians with at most three-body interactions. Properties of such Hamiltonians can be well approximated with Hamiltonians containing only two-local terms. The register holding the simulated ground state is brought adiabatically into interaction with a probe qubit, followed by a single diabatic gate operation on the probe which then undergoes free evolution until measured. This allows one to recover e.g. the ground state energy of the Hamiltonian being simulated. Given a ground state, this scheme can be used to verify the QMA-complete problem LOCAL HAMILTONIAN, and is therefore likely more powerful than classical computing. |
| Published Version: | http://arxiv.org/abs/1002.0368 |
| Terms of Use: | This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP |
| Citable link to this page: | http://nrs.harvard.edu/urn-3:HUL.InstRepos:4657467 |
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