  Lattice states are a class of quantum states that naturally generalize the
fundamental set of Bell states. We apply recent results from quantum error
correction and from one-way local operations and classical communication (LOCC)
theory, that are built on the structure theory of operator systems and operator
algebras, to develop a technique for the construction of relatively small sets
of lattice states not distinguishable by one-way LOCC schemes. We also present
examples, show the construction extends to generalized Pauli states, and
compare the construction to other recent work.
