  We study the separability of bipartite quantum systems in arbitrary
dimensions based on the Bloch representation of density matrices. We present
two separability criteria for quantum states in terms of the matrices
$T_{\alpha\beta}(\rho)$ and $W_{ab,\alpha\beta}(\rho)$ constructed from the
correlation tensors in the Bloch representation. These separability criteria
can be simplified and detect more entanglement than the previous separability
criteria. Detailed examples are given to illustrate the advantages of results.
