  Nonlocality without entanglement (NLWE) is a nonlocal quantum phenomenon that
arises in separable state discrimination. We show that the availability of the
postmeasurement information about the prepared subensemble can affect the
occurrence of NLWE in discriminating nonorthogonal nonentangled states. We
provide a two-qubit state ensemble consisting of four nonorthogonal separable
pure states and show that the postmeasurement information about the prepared
subensemble can annihilate NLWE. We also provide another two-qubit state
ensemble consisting of four nonorthogonal separable states and show that the
postmeasurement information can create NLWE. Our result can provide a useful
method to share or hide information using nonorthogonal separable states.
