KOCHEN-SPECKER THEOREM FOR 8-DIMENSIONAL SPACE

被引:75
作者
KERNAGHAN, M [1 ]
PERES, A [1 ]
机构
[1] TECHNION ISRAEL INST TECHNOL,DEPT PHYS,IL-32000 HAIFA,ISRAEL
关键词
D O I
10.1016/0375-9601(95)00012-R
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A Kochen-Specker contradiction is produced with 36 vectors in a real eight-dimensional Hilbert space. These vectors can be combined into 30 distinct projection operators (14 of rank 2, and 16 of rank 1). A state-specific variant of this contradiction requires only 13 vectors, a remarkably low number for eight dimensions.
引用
收藏
页码:1 / 5
页数:5
相关论文
共 11 条
[1]  
Bell J.S., 1964, PHYSICS, V1, P195, DOI [10.1103/PhysicsPhysiqueFizika.1.195, 10.1103/Physics-PhysiqueFizika.1.195, DOI 10.1103/PHYSICSPHYSIQUEFIZIKA.1.195]
[2]   ON PROBLEM OF HIDDEN VARIABLES IN QUANTUM MECHANICS [J].
BELL, JS .
REVIEWS OF MODERN PHYSICS, 1966, 38 (03) :447-&
[3]   GETTING CONTEXTUAL AND NONLOCAL ELEMENTS-OF-REALITY THE EASY WAY [J].
CLIFTON, R .
AMERICAN JOURNAL OF PHYSICS, 1993, 61 (05) :443-447
[4]   GETTING CONTEXTUAL AND NONLOCAL ELEMENTS-OF-REALITY THE EASY WAY - COMMENT [J].
JOHANSEN, HB .
AMERICAN JOURNAL OF PHYSICS, 1994, 62 (05) :471-471
[5]   BELL-KOCHEN-SPECKER THEOREM FOR 20 VECTORS [J].
KERNAGHAN, M .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (21) :L829-L830
[6]  
KOCHEN S, 1967, J MATH MECH, V17, P59
[7]   SIMPLE UNIFIED FORM FOR THE MAJOR NO-HIDDEN-VARIABLES THEOREMS [J].
MERMIN, ND .
PHYSICAL REVIEW LETTERS, 1990, 65 (27) :3373-3376
[8]   HIDDEN-VARIABLES AND THE 2 THEOREMS OF BELL,JOHN [J].
MERMIN, ND .
REVIEWS OF MODERN PHYSICS, 1993, 65 (03) :803-815
[9]  
PERES A, 1994, J PHYS A, V24, pL175
[10]  
Peres A., 1993, QUANTUM THEORY CONCE, P114