What question did this study set out to answer?

This research aims to explore the relationship between Slater determinant states and determinantal processes through distance metrics.

February 23, 2026Open Access

On Distances Among Slater Determinant States and Determinantal Point Processes

Key Points

This research aims to explore the relationship between Slater determinant states and determinantal processes through distance metrics.
Established quantitative bounds based on trace measures and total variation distances.
Analyzed connections between fermionic characteristics and determinantal processes.
Utilized Wasserstein distances to quantify these relationships.
Identified specific quantitative bounds for Slater determinant states and determinantal processes.
Demonstrated how distance metrics reflect the repulsive behavior inherent in these mathematical structures.

Abstract

Abstract 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.

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Cite This Study

Boccato et al. (Sat,) studied this question.

synapsesocial.com/papers/699ba05e72792ae9fd86fddb https://doi.org/https://doi.org/10.1007/s00023-026-01658-3

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