1304.6166 (S. P. Toh)

Kochen-Specker Sets with Thirty Rank-Two Projectors in Three-Qubit
System    [PDF]

S. P. Toh

A simple 3-rules-5-steps scheme is proposed to transform Kochen-Specker (KS) sets in eight-dimensional spaces consist of 15 bases which are formed by 20 rays that each occurs twice and 20 rays that each occurs 4 times among the bases, into KS sets involve only 30 rank-2 projectors that each occurs twice. The KS sets obtained provide state-independent proof of KS theorem using only rank-2 projectors. Small adjustment of the scheme enables us to manually generate large number of Kochen-Specker sets with the number of rank-2 projectors ranging from 2 to 30.

View original: http://arxiv.org/abs/1304.6166