  The classification of stabilizer states under local Clifford (LC) equivalence
is of particular importance in quantum error-correction and measurement-based
quantum computation. Two stabilizer states are called LC equivalent if there
exists a local Clifford operation which maps the first state to the second. We
present a finite set of invariants which completely characterizes the LC
equivalence class of any stabilizer state. Our invariants have simple
descriptions within the binary framework in which stabilizer states are usually
described.
