Theoretical methods for empirical state determination of entangled two-level systems are analyzed in relation to information theory. We show that hidden variable theories would lead to a Shannon index of correlation between the entangled subsystems which is larger than that predicted by quantum mechanics. Canonical representations which have maximal correlations are treated by the use of Schmidt and Hilbert-Schmidt decomposition of the entangled states, including especially the Bohm singlet state and the GHZ entangled states. We show that quantum mechanics does (...) not violate locality, but does violate realism. (shrink)

Here, we offer concrete illustrations of the state determination method developed abstractly in Part I of this work. Quorums are found for finite-dimensional magnetic multipole problems as well as for the harmonic oscillator with an energy cutoff. There is, in addition, a discussion of general procedures for empirically distinguishing pure states from mixed states.

Using Schrödinger's generalized probability relations of quantum mechanics, it is possible to generate a canonical ensemble, the ensemble normally associated with thermodynamic equilibrium, by at least two methods, statistical mixing and subensemble selection, that do not involve thermodynamic equilibration. Thus the question arises as to whether an observer making measurements upon systems from a canonical ensemble can determine whether the systems were prepared by mixing, equilibration, or selection. Investigation of this issue exposes antinomies in quantum statistical thermodynamics. It is conjectured (...) that resolution of these paradoxes may involve a new law of motion in quantum dynamics. (shrink)