Pauli-matrix representation of the Affleck--Kennedy--Lieb--Tasaki state
= Pauli-matrix representation of the Affleck--Kennedy--Lieb--Tasaki state
{c}
In a Cartesian basis of the physical spin-one space, the AKLT MPS matrices are proportional to $\sigma_x,\sigma_y,\sigma_z$. Products of two such matrices span the full virtual matrix algebra, and the two-site parent term projects onto total spin two.