  We propose a new implementation of real-space renormalization group (RG)
transformations for quantum states on a lattice. Key to this approach is the
removal of short-ranged entanglement, similar to Vidal's entanglement
renormalization (ER), which allows a proper RG flow to be achieved. However,
our proposal only uses operators that act locally within each block, such that
the use of disentanglers acting across block boundaries is not required. By
avoiding the use of disentanglers we argue many tensor network algorithms for
studying quantum many-body systems can be significantly improved. The
effectiveness of this RG approach is demonstrated through application to the
ground state of a 1D system at criticality, which is shown to reach a
scale-invariant fixed point.
