The SLOCC invariant and the residual entanglement for n-qubits

Abstract

In this paper, we find the invariant for $n$-qubits and propose the residual entanglement for $n$-qubits by means of the invariant. Thus, we establish a relation between SLOCC entanglement and the residual entanglement. The invariant and the residual entanglement can be used for SLOCC entanglement classification for $n$-qubits.

22 pages, no figure, lemma 4 and corollary 3 and the conjecture for odd n-qubits in the previous version were deleted because they are not always true