  Any set of states which cannot be perfectly distinguished by local operations
and classical communication (LOCC) alone, can always be locally distinguished
using quantum teleportation with enough entanglement resource. However, in
quantum information theory, entanglement is a very valuable resource, so it
leaves the following open question: how to accomplish this task more
efficiently than teleportation, that is, design the local discrimination
protocol using less entanglement resource. In this paper, we first present two
protocols to locally distinguish a set of unextendible product bases (UPB) in
$5\otimes 5$ by using different entanglement resource. Then, we generalize the
distinguishing methods for a class of UPB in $d\otimes d$, where $d$ is odd and
$d\geqslant 3$. Furthermore, for a class of UPB in $d\otimes d$, where $d$ is
even and $d\geqslant 4$, we prove that these states can also be distinguished
by LOCC with multiple copies of low-dimensional entanglement resource. These
results offer rather general insight into how to use entanglement resource more
efficiently, and also reveal the phenomenon of less nonlocality with more
entanglement.
