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It has recently been claimed by De Zela that Gleason's theorem, for probability measures on the lattice of projection operators, can be extended to qubits by adding assumptions related to continuity and the existence of 'eigenstates'.
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1936
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A. M. Gleason, J. Math. Mech. 6
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J. S. Bell, Rev. Mod. Phys. 38
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S. Kochen and E. P. Specker, J. Math. Mech. 17
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S. P. Gudder, Stochastic Methods in Quantum Mechanics
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E. G. Beltrametti, and G. Cassinelli The Logic of Quantum Mechanics
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N. Gisin, Synthese 89
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M. J. W. Hall, Int. J Theoret. Phys. 31
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Cited in the paper.
P. Busch, Phys. Rev. Lett. 91
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Later among the works it cites.
M. J. W. Hall, D.-A. Deckert and H. M. Wiseman, Phys. Rev. X 4
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Later among the works it cites.
F. De Zela, Found. Phys. 46
2016
Closest in time.
M. J. W. Hall and M. Reginatto, Ensembles on Configuration Space: Classical, Quantum, and Beyond
2016
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