Pauli's exclusion principle has a strong impact on the properties of most
fermionic quantum systems. Remarkably, the fermionic exchange symmetry implies
further constraints on the one-particle picture. By exploiting those
generalized Pauli constraints we derive a measure which quantifies the
influence of the exchange symmetry beyond Pauli's exclusion principle. It is
based on a geometric hierarchy induced by the exclusion principle constraints.
We provide a proof of principle by applying our measure to a simple model. In
that way, we conclusively confirm the physical relevance of the generalized
Pauli constraints and show that the fermionic exchange symmetry can have an
influence on the one-particle picture beyond Pauli's exclusion principle. Our
findings provide a new perspective on fermionic multipartite correlation since
our measure allows one to distinguish between static and dynamic correlations.Comment: title has been changed; very close to published versio