On distances among Slater Determinant States and Determinantal Point Processes

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.

Fixed the counterexample to the validity of eq. (4.2)

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