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In a series of papers Colbeck and Renner claim to have shown that the quantumstate provides a complete description for the prediction of future measurementoutcomes. In this paper I argue that thus far no solid satisfactory proof hasbeen presented to support this claim. Building on the earlier work of Leifer,Landsman and Leegwater, I present and prove two results that only partiallysupport this claim. I then discuss the arguments by Colbeck, Renner andLeegwater concerning how these results are to generalize to the full claim.This argument turns out to hinge on the implicit use of an assumptionconcerning the way unitary evolution is to be represented in any possiblecompletion of quantum mechanics. I argue that this assumption is unsatisfactoryand that possible attempts to validate it based on measurement theory also donot succeed.

Completely real? A critical note on the claims by Colbeck and Renner