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<p>Determinantal processes provide mathematical modeling of repulsion among points. In quantum mechanics, Slater determinant states generate such processes, reflecting fermionic behavior. This note exploits the connections between the former and the latter structures by establishing quantitative bounds in terms of trace/total variation and Wasserstein distances.</p>

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On Distances Among Slater Determinant States and Determinantal Point Processes

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月21日

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  • Chiara Boccato,
  • Francesca Pieroni,
  • Dario Trevisan

摘要

Determinantal processes provide mathematical modeling of repulsion among points. In quantum mechanics, Slater determinant states generate such processes, reflecting fermionic behavior. This note exploits the connections between the former and the latter structures by establishing quantitative bounds in terms of trace/total variation and Wasserstein distances.