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- W2464023750 abstract "Department of Chemistry, Department of Physics and Birck Nanotechnology Center,Purdue University, West Lafayette, IN 47907 USA(Dated: July 2, 2014)We study quantum dynamics of Grover’s adiabatic search algorithm with the equivalent two-levelsystem. Its adiabatic and non-adiabatic evolutions are visualized as trajectories of Bloch vectorson a Bloch sphere. We find the change in the non-adiabatic transition probability from exponentialdecay for short running time to inverse-square decay for long running time. The size dependence ofthe critical running time is expressed in terms of Lambert W function. The transitionless drivingHamiltonian is obtained to make a quantum state follow the adiabatic path. We demonstrate thata constant Hamiltonian, approximate to the exact time-dependent driving Hamiltonian, can alterthe non-adiabatic transition probability from the inverse square decay to the inverse fourth powerdecay with running time. This may open up a new way of reducing errors in adiabatic quantumcomputation." @default.
- W2464023750 created "2016-07-22" @default.
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- W2464023750 date "2014-06-27" @default.
- W2464023750 modified "2023-10-16" @default.
- W2464023750 title "Non-Adiabatic Quantum Dynamics of Grover's Adiabatic Search Algorithm" @default.
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- W2464023750 hasPublicationYear "2014" @default.
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