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On the optimal working point in dissipative quantum annealing

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arxiv 1804.04251 v1 pith:76WKTJ2B submitted 2018-04-11 quant-ph cond-mat.mes-hall

On the optimal working point in dissipative quantum annealing

classification quant-ph cond-mat.mes-hall
keywords annealingquantumbathchainenvironmentoptimalpointworking
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the effect of a thermal environment on the quantum annealing dynamics of a transverse-field Ising chain. The environment is modelled as a single Ohmic bath of quantum harmonic oscillators weakly interacting with the total transverse magnetization of the chain in a translationally invariant manner. We show that the density of defects generated at the end of the annealing process displays a minimum as a function of the annealing time, the so-called optimal working point, only in rather special regions of the bath temperature and coupling strength plane. We discuss the relevance of our results for current and future experimental implementations with quantum annealing hardware.

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