Adiabatic Quantum Simulators

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Adiabatic Quantum Simulators

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Title: Adiabatic Quantum Simulators
Author: Biamonte, J. D; Bergholm, V.; Whitfield, James D.; Fitzsimons, J.; Aspuru-Guzik, Alan

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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.
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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.
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  • FAS Scholarly Articles [7501]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University

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