New Examples of Kochen-Specker Type Configurations on Three Qubits
Quantum Physics
2012-11-01 v3 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1206.6999,
title = {New Examples of Kochen-Specker Type Configurations on Three Qubits},
author = {Artur E. Ruuge},
journal= {arXiv preprint arXiv:1206.6999},
year = {2012}
}
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24 pages