  In fact, this is exactly the case in the spin singlet state. In this state, the particles are entangled in a non-separable state (i.e., a state that cannot be decomposed into a product of separate states of the L- and the R-particle), in which (according to the property-assignment rules of orthodox quantum mechanics) the particles do not possess any definite z-spin (or definite spin in any other direction). Thus, the condition of state separability fails: The state of the particle pair (which determines its intrinsic qualitative properties) is not wholly determined by the separate states of the particles (which determine their intrinsic qualitative properties). Or more precisely, the pair's state is not supervenient upon the separable states of the particles. In particular, the superposition state of the particle pair assigns a ‘correlational’ property that dictates that the outcomes of (ideal) z-spin measurements on both the L- and the R-particle will be anti-correlated, and this correlational property is not supervenient upon properties assigned by any separable states of the particles (for more details, see Healey 1992, 1994). For similar reasons, the spin singlet state also involves property and relational holism; for the above correlational property of the particle pair also fails to supervene upon the intrinsic qualitative properties of the particles and the spatiotemporal relations between them. Furthermore, the process that leads to each of the measurement outcomes is also non-separable, i.e.,  process separability fails (see Healey 1994 and the entry on holism and nonseparability in physics).