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arXiv · 1705.05379

Dissipative Landau-Zener problem and thermally assisted Quantum Annealing

Luca Arceci·Simone Barbarino·Rosario Fazio·Giuseppe E. Santoro
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Abstract

We revisit the issue of thermally assisted quantum annealing by a detailed study of the dissipative Landau-Zener problem in presence of a Caldeira-Leggett bath of harmonic oscillators, using both a weak-coupling quantum master equation and a quasi-adiabatic path-integral approach. Building on the known zero-temperature exact results (Wubs et al., PRL 97, 200404 (2006)), we show that a finite temperature bath can have a beneficial effect on the ground-state probability only if it couples also to a spin-direction that is transverse with respect to the driving field, while no improvement is obtained for the more commonly studied purely longitudinal coupling. In particular, we also highlight that, for a transverse coupling, raising the bath temperature further improves the ground-state probability in the fast-driving regime. We discuss the relevance of these findings for the current quantum-annealing flux qubit chips.

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Luca Arceci, Simone Barbarino, Rosario Fazio, Giuseppe E. Santoro. 2017-05-15. Dissipative Landau-Zener problem and thermally assisted Quantum Annealing. https://doi.org/10.1103/physrevb.96.054301

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