2022/01/02 by Grangier, Philippe
#FOS: Physical sciences #History and Philosophy of Physics (physics.hist-ph) #Quantum Physics (quant-ph)
paper · doi:10.48550/arxiv.2201.00371
The purpose of this note is to complete the interesting review on quantum contextuality [1] that appeared recently. In particular we will introduce and discuss the ideas of extracontextuality and extravalence, that allow one to relate Kochen-Specker's and Gleason's theorems, and also to shift the emphasis from the first to the second one. We will also argue that whereas Kochen-Specker's is essentially a negative result (a no-go theorem), Gleason's is a positive one since it provides a mathematical justification of Born's rule. The link between these issues is provided by a specific quantum feature that we call extravalence.