Proof of the Impossibility of Non-Contextual Hidden Variables in All Hilbert Space Dimensions

1994/09/25 by Daniel I. Fivel, Fivel, Daniel I. · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Quantum Mechanics and Applications #advanced mathematical theories #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9409149

Latex, 6pages, 12.5K

arxiv created 1994/09/25 · arxiv updated 2009/11/30

Abstract

It is shown that the algebraic structure of finite Heisenberg groups associated with the tensor product of two Hilbert spaces leads to a simple demonstration valid in all Hilbert space dimensions of the impossibility of non-contextual hidden variables.

Cited by

• The prime factorization property of entangled quantum states

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• Hidden Variables, Non Contextuality and Einstein-Locality in Quantum Mechanics
• Hilbert Space Quantum Mechanics Is Noncontextual
• Von Neumann's No Hidden Variable Theorem
• The Possibility of Factorizable Contextual Hidden Variable Theories
• Revisiting Quantum Contextuality in an Algebraic Framework