3.1k citations · 8.6k across the 32 of their papers we have counts for
32 papers
Entropic probability and context states
Benjamin Schumacher, Michael D. Westmoreland
In a previous paper, we introduced an axiomatic system for information thermodynamics, deriving an entropy function that includes both thermodynamic and information components. Fro…
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…
Interpretation of quantum theory: the quantum "grue-bleen" problem
Benjamin Schumacher, Michael D. Westmoreland
We present a critique of the many-world interpretation of quantum mechanics, based on different ``pictures'' that describe the time evolution of an isolated quantum system. Without…
Quantum meronomic frames
Austin Hulse, Benjamin Schumacher
Composite quantum systems can be decomposed into subsystems in many different inequivalent ways. We call a particular decomposition a meronomic reference frame for the system. We a…