  We show that quantum entanglement states are associated with multilinear
polynomials that cannot be factored. Notice that, since multilinear polynomials
have a geometric representation, we can propose a similar geometric
representation for entanglement states. In particular, we show that the Bell's
states are associated with non-factorable real multilinear polynomial, which
can be represented geometrically by three-dimensional surfaces. Furthermore, we
show that a quantum circuit can be seen as a geometric transformations of plane
geometry. Notice that this phenomenon is analogous to gravity, where matter
curves space-time. In addition, we show an analogy between quantum
teleportation and operations involving multilinear polynomials.
