  We give a fermionic Fock space description of embedded entangled qubits.
Within this framework the problem of classification of pure state entanglement
boils down to the problem of classifying spinors. The usual notion of separable
states turns out to be just a special case of the one of pure spinors. By using
the notion of single, double and mixed occupancy representation with
intertwiners relating them a natural physical interpretation of embedded qubits
is found. As an application of these ideas one can make a physically sound
meaning of some of the direct sum structures showing up in the context of the
so-called Black-Hole/Qubit Correspondence. We discuss how the usual invariants
for qubits serving as measures of entanglement can be obtained from invariants
for spinors in an elegant manner. In particular a detailed case study for
recovering the invariants for four-qubits within a spinorial framework is
presented. We also observe that reality conditions on complex spinors defining
Majorana spinors for embedded qubits boil down to self conjugate states under
the Wootters spin flip operation. Finally we conduct a study on the explicit
structure of $Spin(16,\mathbb{C})$ invariant polynomials related to the
structure of possible measures of entanglement for fermionic systems with 8
modes. Here we find an algebraically independent generating set of the
generalized SLOCC invariants and calculate their restriction to the dense
orbit. We point out the special role the largest exceptional group $E_8$ is
playing in these considerations.
