  Holant problems are intimately connected with quantum theory as tensor
networks. We first use techniques from Holant theory to derive new and improved
results for quantum entanglement theory. We discover two particular entangled
states $|{\Psi_6}\rangle$ of 6 qubits and $|{\Psi_8}\rangle$ of 8 qubits
respectively, that have extraordinary and unique closure properties in terms of
the Bell property. Then we use entanglement properties of constraint functions
to derive a new complexity dichotomy for all real-valued Holant problems
containing an odd-arity signature. The signatures need not be symmetric, and no
auxiliary signatures are assumed.
