Author:
Atia Yosi,Oren Yonathan,Katz Nadav
Abstract
Quantum computation by the adiabatic theorem requires a slowly-varying Hamiltonian with respect to the spectral gap. We show that the Landau–Zener–Stückelberg oscillation phenomenon, which naturally occurs in quantum two-level systems under non-adiabatic periodic drive, can be exploited to find the ground state of an N-dimensional Grover Hamiltonian. The total runtime of this method is O ( 2 n ) , which is equal to the computational time of the Grover algorithm in the quantum circuit model. An additional periodic drive can suppress a large subset of Hamiltonian control errors by using coherent destruction of tunneling, thus outperforming previous algorithms.
Funder
H2020 European Research Council
Simons Foundation
Israel Science Foundation
Subject
General Physics and Astronomy
Reference57 articles.
1. Quantum computation by adiabatic evolution;Farhi;arXiv,2000
2. Adiabatic quantum computation
3. On the Adiabatic Theorem of Quantum Mechanics
4. Quantum Mechanics [Vol 1–2];Messiah,1964
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