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Quantum and Classical Hybrid Generations for Classical Correlations

Xiaodie Lin Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, China Zhaohui Wei Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, China; Yau Mathematical Science Center, Tsinghua University, Beijing, China Penghui Yao State Key Laboratory for Novel Software Technology, Nanjing University, Nanjing, Jiangsu, China

TBD mathscidoc:2203.43029

Institue of Electrical and Electronics Engineers , 68, (1), 302-310, 2022.1
We consider two-stage hybrid protocols that combine quantum resources and classical resources to generate classical correlations shared by two separated players. Our motivation is twofold. First, in the near future, the scale of quantum information processing is quite limited, and when quantum resource available is not sufficient for certain tasks, a possible way to strengthen the capability of quantum schemes is introducing extra classical resources. We analyze the mathematical structures of these hybrid protocols, and characterize the relation between the amount of quantum resources and classical resources needed. Second, a fundamental open problem in communication complexity theory is to describe the advantage of sharing prior quantum entanglement over sharing prior randomness, which is still widely open. It turns out that our quantum and classical hybrid protocols provide new insight into this important problem.
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@inproceedings{xiaodie2022quantum,
  title={Quantum and Classical Hybrid Generations for Classical Correlations},
  author={Xiaodie Lin, Zhaohui Wei, and Penghui Yao},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220317154752539244994},
  booktitle={Institue of Electrical and Electronics Engineers },
  volume={68},
  number={1},
  pages={302-310},
  year={2022},
}
Xiaodie Lin, Zhaohui Wei, and Penghui Yao. Quantum and Classical Hybrid Generations for Classical Correlations. 2022. Vol. 68. In Institue of Electrical and Electronics Engineers . pp.302-310. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220317154752539244994.
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