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Cloning, deleting, and hiding in modal quantum theory
Phillip Diamond, Benjamin Schumacher
We examine the toy model of modal quantum theory (MQT), an analogue of actual quantum theory based on finite fields. In particular, we investigate how several essential ``no-go'' r…
Quantum paradoxical knowledge
Benjamin Schumacher, Michael D. Westmoreland
We generalize the quantum "pigeonhole paradox" to quantum paradoxes involving arbitrary types of particle relations, including orderings, functions and graphs.
A no-broadcasting theorem for modal quantum theory
Phillip Diamond, Benjamin Schumacher, Michael D. Westmoreland
The quantum no-broadcasting theorem has an analogue in modal quantum theory (MQT), a toy model based on finite fields. The failure of broadcasting in MQT is related to the failure…