Duality in quantum work

@article{Xu2020DualityIQ,
  title={Duality in quantum work},
  author={Bao-Ming Xu and Z. C. Tu and Jian Zou},
  journal={Physical Review A},
  year={2020}
}
An open question of fundamental importance in quantum thermodynamics is how to describe the statistics of work for initial state with quantum coherence. In this paper, work statistics is considered from a fully new perspective of "wave-particle" duality. Based on the generalized quantum work measurement, predictability of energy levels $\mathcal{D}_W$ and effectiveness of coherence $\mathcal{V}_W$ are defined, and they obey inequality $\mathcal{D}_W^2+\mathcal{V}_W^2\leq1$, which is the… 
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