A double-slit proposal for quantum annealing

被引:18
作者
Munoz-Bauza, Humberto [1 ,2 ]
Chen, Huo [2 ,3 ]
Lidar, Daniel [1 ,2 ,3 ,4 ]
机构
[1] Univ Southern Calif, Dept Phys & Astron, Los Angeles, CA 90089 USA
[2] Univ Southern Calif, Ctr Quantum Informat Sci & Technol, Los Angeles, CA 90089 USA
[3] Univ Southern Calif, Dept Elect & Comp Engn, Los Angeles, CA 90089 USA
[4] Univ Southern Calif, Dept Chem, Los Angeles, CA 90089 USA
关键词
D O I
10.1038/s41534-019-0160-0
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We formulate and analyze a double-slit proposal for quantum annealing, which involves observing the probability of finding a two-level system (TLS) undergoing evolution from a transverse to a longitudinal field in the ground state at the final time t(f). We demonstrate that for annealing schedules involving two consecutive diabatic transitions, an interference effect is generated akin to a double-slit experiment. The observation of oscillations in the ground state probability as a function of t(f) (before the adiabatic limit sets in) then constitutes a sensitive test of coherence between energy eigenstates. This is further illustrated by analyzing the effect of coupling the TLS to a thermal bath: increasing either the bath temperature or the coupling strength results in a damping of these oscillations. The theoretical tools we introduce significantly simplify the analysis of the generalized Landau-Zener problem. Furthermore, our analysis connects quantum annealing algorithms exhibiting speedups via the mechanism of coherent diabatic transitions to near-term experiments with quantum annealing hardware.
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页数:11
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