  "What are the consequences ... that Fermi particles cannot get into the same
state ... " R. P. Feynman wrote of the Pauli exclusion principle, "In fact,
almost all the peculiarities of the material world hinge on this wonderful
fact." In 1972 Borland and Dennis showed that there exist powerful constraints
beyond the Pauli exclusion principle on the orbital occupations of Fermi
particles, providing important restrictions on quantum correlation and
entanglement. Here we use computations on quantum computers to experimentally
verify the existence of these additional constraints. Quantum many-fermion
states are randomly prepared on the quantum computer and tested for constraint
violations. Measurements show no violation and confirm the generalized Pauli
exclusion principle with an error of one part in one quintillion.
