New Examples of Kochen-Specker Type Configurations on Three Qubits
Artur E. Ruuge
TL;DR
The paper constructs a new saturated Kochen-Specker configuration of 64 rays in three-qubit space, analyzes its properties, and introduces a multicolored generalization of KS theory based on entropy concepts.
Contribution
It presents a novel saturated Kochen-Specker configuration in three-qubit space and introduces a multicolored entropy-based generalization of KS theory.
Findings
Configuration has tropical dimension 6
Contains a critical subconfiguration of 36 rays
Introduces a multicolored entropy-based KS generalization
Abstract
A new example of a saturated Kochen-Specker (KS) type configuration of 64 rays in 8-dimensional space (the Hilbert space of a triple of qubits) is constructed. It is proven that this configuration has a tropical dimension 6 and that it contains a critical subconfiguration of 36 rays. A natural multicolored generalisation of the Kochen-Specker theory is given based on a concept of an entropy of a saturated configuration of rays.
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