Kochen-Specker Sets with a Mixture of 16 Rank-1 and 14 Rank-2 Projectors for a Three-Qubit System
arXiv:1310.0179 · doi:10.1088/0256-307X/30/10/100302
Abstract
Kochen-Specker (KS) theorem denies the possibility for the noncontextual hidden variable theories to reproduce the predictions of quantum mechanics. A set of projection operators (projectors) and bases used to show the impossibility of noncontextual definite values assignment is named as the KS set. Since one KS set with a mixture of 16 rank-1 projectors and 14 rank-2 projectors proposed in 1995 [Kernaghan M and Peres A 1995 Phys. Lett.\ A \textbf{198} 1] for a three-qubit system, there are plenty of the same type KS sets and we propose a systematic way to produce them. We also propose a probabilistic state-dependent proof of the KS theorem that mainly focuses on the values assignment for all the rank-2 projectors.
4 pages, 2 tables, 1 figures
References in corpus (6)
- State-independent experimental test of quantum contextuality
- Experimental test of quantum contextuality in neutron interferometry
- State-independent proof of Kochen-Specker theorem with 13 rays
- State-independent quantum contextuality with single photons
- Proofs of the Kochen-Specker theorem based on a system of three qubits
- On small proofs of Bell-Kochen-Specker theorem for two, three and four qubits