Quantum “no-go” theorems are statements of fundamental impossibilities in the quantum physics realm. We investigated the analogs of five no-go theorems in a toy model of actual quantum theory called modal quantum theory (MQT). MQT maintains the vector space structure of actual quantum theory but lacks the concept of probability. We discovered some no-go theorems have direct analogs in MQT, whereas others do not. Our results highlight both similarities and differences between actual quantum theory and MQT and give us new tools for understanding no-go theorems in actual quantum theory.
Diamond, Phillip and Schumacher, Benjamin, "No-Go Theorems in Modal Quantum Theory" (2022). Kenyon Summer Science Scholars Program. Paper 587.