  Classical constraints on the reduced density matrix of quantum fluids in a
single Landau level, termed as local exclusion conditions (LECs) [B. Yang,
arXiv:1901.00047], have recently been shown to characterize the ground state of
many FQH phases. In this work, we extend the LEC construction to build the
elementary excitations, namely quasiholes and quasielectrons, of these FQH
phases. In particular, we elucidate the quasihole counting, categorize various
types of quasielectrons, and construct their microscopic wave functions. Our
extensive numerical calculations indicate that the undressed quasielectron
excitations of the Laughlin state obtained from LECs are topologically
equivalent to those obtained from the composite fermion theory. Intriguingly,
the LEC construction unveils interesting connections between different FQH
phases and offers a novel perspective on exotic states such as the Gaffnian and
the Fibonacci state.
