Reminds me of a paper by by Hardy[1] where he introduces five reasonable axioms (his words). Classical and quantum probability theory obeys the first four. Howe

Reminds me of a paper by by Hardy[1] where he introduces five reasonable axioms (his words). Classical and quantum probability theory obeys the first four. However the fifth, which states that there exists continuous transformations between pure states, is only obeyed by the quantum theory. In that sense he argues that quantum theory is in a sense more reasonable than classical theory. There's also an interesting link between this and entanglement[2] which seems to rule out other probability theories, leaving only quantum theory able to exhibit entanglement. Not my field at all though, just find these foundational things interesting to ponder. [1]: https://arxiv.org/abs/quant-ph/0101012 https://arxiv.org/abs/quant-ph/0101012 [2]: https://arxiv.org/abs/0911.0695v1 https://arxiv.org/abs/0911.0695v1