Fig. 2: Diagrammatic representation of matrix product states.
From: Dimension reduction in quantum sampling of stochastic processes

a Each site of a 1D quantum chain can be described by a site matrix \({A}_{jk}^{x}\), where x is the physical index corresponding to the local state, and j and k are bond indices carrying correlations between sites. b The full MPS is constructed by joining together these site matrices by multiplying (`contracting') over the bond indices.