Francesco BuscemiVery glad to see this published
https://quantum-journal.org/papers/q-2023-06-07-1035/
in which we take a fresh look at the concept of (in)compatibility in quantum theory and show how thinking of it as a resource leads to a very natural solution of some open problems that have been left hanging.
Another example that sometimes the problem is to look for the right question, and then the answer will immediately follow.
Unifying different notions of quantum incompatibility into a strict hierarchy of resource theories of communication
Francesco Buscemi, Kodai Kobayashi, Shintaro Minagawa, Paolo Perinotti, and Alessandro Tosini, Quantum 7, 1035 (2023). While there is general consensus on the definition of incompatible POVMs, moving up to the level of instruments one finds a much less clear situation, with mathematically different and logic…