Background
The Sleeping Beauty problem is attracting growing attention among physicists and philosophers. There are at least 6 Manifold markets that refer to it.

https://manifold.markets/inaccessibles/is-the-answer-to-the-sleeping-beaut-LZhpcQ8sCA
https://manifold.markets/deletesoon/whats-the-greatest-paradox-accordin
https://manifold.markets/levifinkelstein/what-is-the-correct-solution-to-the
https://manifold.markets/NicholasKross/poll-what-do-you-answer-in-the-slee
https://manifold.markets/PlasmaBallin/sleeping-beauty-problem-what-do-mos-bcee317505e4
https://manifold.markets/MartinRandall/is-the-answer-to-the-sleeping-beaut
Question
The answer to the problem may depend on whether classical or quantum physics is considered. Some claim that the answer is 1/3 in the quantum setting (see https://doi.org/10.1093/analys/ant072 and references therein).
Is the answer really 1/3 in the quantum physics setting?
Resolution
As I have a preferred position on this issue, I ask Manifold moderators on to resolve this question once widespread consensus is reached. If no consensus is reached before the market closing time, this should resolve to N/A.