J. Butterfield et J. Melia, A GALOIS CONNECTION APPROACH TO SUPERPOSITION AND INACCESSIBILITY, International journal of theoretical physics, 32(12), 1993, pp. 2305-2321
Working in a quantum logic framework and using the idea of Galois conn
ections, we give a natural sufficient condition for superposition and
inaccessibility to give the same closure map on sets of states.