Scholarlink

<p>Understanding entanglement percolation across quantum networks (QNs) has been a persistent challenge. Concurrence percolation theory (ConPT) provides a statistical-physics framework for this, drawing parallels between entanglement measure (concurrence) and classical percolation measure (probability). However, ConPT’s reach has been confined to idealized, pure-state entanglement resources, overlooking realistic mixed states “contaminated” by stochastic noise. This work extends into this realistic domain, introducing a mixed-state ConPT that reveals a percolation threshold lower than the pure-state counterpart. This paradoxical finding seemingly suggests that stochastic contamination is less detrimental than purity-preserving unitary noise, a notion that challenges conventional belief. We resolve this finding by highlighting an operational detail: implementing mixed-state ConPT effectively requires quantum memory to buffer the probabilistic nature of mixed-state protocols. We find evidence that without quantum memory, mixed-state ConPT consistently underperforms pure-state ConPT. This reinforces our understanding that stochastic noise poses a more significant impediment, a critical consideration for QN design.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A counter-intuitive low entanglement percolation threshold in mixed-state quantum networks

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年1月9日

查看全文
  • Haigang Wang,
  • Omar Malik,
  • Jinchuan Hou,
  • Yongtao Zhang,
  • Kan He,
  • Xiangyi Meng

摘要

Understanding entanglement percolation across quantum networks (QNs) has been a persistent challenge. Concurrence percolation theory (ConPT) provides a statistical-physics framework for this, drawing parallels between entanglement measure (concurrence) and classical percolation measure (probability). However, ConPT’s reach has been confined to idealized, pure-state entanglement resources, overlooking realistic mixed states “contaminated” by stochastic noise. This work extends into this realistic domain, introducing a mixed-state ConPT that reveals a percolation threshold lower than the pure-state counterpart. This paradoxical finding seemingly suggests that stochastic contamination is less detrimental than purity-preserving unitary noise, a notion that challenges conventional belief. We resolve this finding by highlighting an operational detail: implementing mixed-state ConPT effectively requires quantum memory to buffer the probabilistic nature of mixed-state protocols. We find evidence that without quantum memory, mixed-state ConPT consistently underperforms pure-state ConPT. This reinforces our understanding that stochastic noise poses a more significant impediment, a critical consideration for QN design.