2010/09/22 by Benjamin Schumacher, Schumacher, Benjamin, Michael Westmoreland +2 · 3 citations
Arts and Humanities · Computer Science · Physics and Astronomy · #FOS: Physical sciences #Philosophy and History of Science #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.1010.2929
Presented at the 7th Workshop on Quantum Physics and Logic, Oxford University (29-30 May 2010). Revised 1 Aug 2011 in response to referee comments
openalex publication_date 2010/09/22 · arxiv created 2011/08/01 · arxiv updated 2011/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a discrete model theory similar in structure to ordinary quantum mechanics, but based on a finite field instead of complex amplitudes. The interpretation of this theory involves only the "modal" concepts of possibility and necessity rather than quantitative probability measures. Despite its simplicity, our model theory includes entangled states and has versions of both Bell's theorem and the no cloning theorem.