Reply to "Comment on `Gleason-type theorem including qubits and projective measurements: the Born rule beyond quantum physics' ", by Michael J. W. Hall

TL;DR

This paper responds to critiques of an extended Gleason's theorem, defending its validity and implications in quantum physics beyond traditional formulations.

Contribution

It provides a rebuttal to objections against the authors' extension of Gleason's theorem, clarifying its significance in quantum foundations.

Findings

Rebuttal to objections strengthens the extended theorem's validity

Clarification of the theorem's implications for quantum physics

Support for the Born rule beyond standard quantum mechanics

Abstract

We present a reply to the objections raised by M. J. W. Hall against our extension of Gleason's theorem.