Kochen-Specker Sets with a Mixture of 16 Rank-1 and 14 Rank-2 Projectors for a Three-Qubit System

作     者：S.P.Toh 

作者机构：Faculty of EngineeringThe University of Nottingham Malaysia CampusJalan Broga43500 SemenyihSelangor Darul EhsanMalaysia 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2013年第30卷第10期

页      面：13-16页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the Ministry of Higher Education of Malaysia under the FRGS grant FRGS/1/2011/ST/UNIM/03/1 

主　　题：assignment theorem proof 

摘      要：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 *** one KS set with a mixture of 16 rank-1 projectors and 14 rank-2 projectors was proposed in 1995[Kernaghan M and Peres A ***.A 198(1995)1]for a three-qubit system,there have been plenty of the same type KS sets and we propose a systematic way to produce *** also propose a probabilistic state-dependent proof of the KS theorem that mainly focuses on the values assignment for all the rank-2 projectors.