Parity proofs of the Kochen-Specker theorem based on 60 complex rays in four dimensions
Mordecai Waegell, P.K. Aravind
TL;DR
This paper explores the 60 complex rays in four-dimensional space related to two qubits, revealing over a billion critical parity proofs of the Kochen-Specker theorem and analyzing their geometric properties.
Contribution
It provides a comprehensive analysis of the geometric structure of the 60 rays and presents numerous new parity proofs of the Kochen-Specker theorem.
Findings
Over 10^9 critical parity proofs identified
Geometrical properties of the rays characterized
Examples of parity proofs demonstrated
Abstract
It is pointed out that the 60 complex rays in four dimensions associated with a system of two qubits yield over 10^9 critical parity proofs of the Kochen-Specker theorem. The geometrical properties of the rays are described, an overview of the parity proofs contained in them is given, and examples of some of the proofs are exhibited.
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