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Quantum Foundations

Non-contextuality and free will in modal quantum theory

arXiv
Authors: Benjamin Schumacher, Michael D. Westmoreland

Year

2010

Paper ID

10682

Status

Preprint

Abstract Read

~2 min

Abstract Words

94

Citations

3

Abstract

Modal quantum theory (MQT) is a simplified cousin of ordinary Hilbert space quantum theory. We show that two important theorems of actual quantum theory, the Kochen-Specker theorem excluding non-contextual hidden variables and the Conway-Kochen "free will theorem" about entangled systems, have direct analogues in MQT. The proofs of these analogue theorems are similar to, but much simpler than, the originals. We also show that the structure of possible measurement results for an entangled system in MQT cannot be represented by probability assignments satisfying the no-signaling principle, such as those given by ordinary quantum theory.

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  • This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
  • It adds a 2010 reference point for readers tracking recent quantum research.
  • Modal quantum theory (MQT) is a simplified cousin of ordinary Hilbert space quantum theory.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1010.5452 [2] arXiv https://arxiv.org/abs/1010.5452 [3] Publisher https://arxiv.org/abs/1010.5452

Local Citation Graph (Related-Paper Links)

Current Paper #10682 #69036 CARVE-Q: Quantum-Proposed, Clas... #69035 A Modular Approach to Succinct ... #69013 Quantum correlations and cohere... #68989 Quantum correlations in QBism's...

External citation index: OpenAlex citation signal • updated 2026-06-13 21:48:07

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