Finite precision measurement nullifies the Kochen-Specker theorem

被引：120

作者：

Meyer, DA ^{[1
]}

机构：

[1] Univ Calif San Diego, Dept Math, Project Geometry & Phys, La Jolla, CA 92093 USA

[2] Inst Phys Sci, Los Alamos, NM USA

来源：

PHYSICAL REVIEW LETTERS | 1999年 / 83卷 / 19期

关键词：

D O I：

10.1103/PhysRevLett.83.3751

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Only finite precision measurements are experimentally reasonable, and they cannot distinguish a dense subset from its closure. We show that the rational vectors, which are dense in S-2, can be colored so that the contradiction with hidden variable theories provided by Kochen-Specker constructions does not obtain. Thus, in contrast to violation of the Bell inequalities, no quantum-overclassical advantage for information processing can be derived from the Kochen-Specker theorem alone.

引用

页码：3751 / 3754

页数：4

共 41 条

[1] EXPERIMENTAL TESTS OF REALISTIC LOCAL THEORIES VIA BELLS THEOREM [J].

ASPECT, A ;

GRANGIER, P ;

ROGER, G .

PHYSICAL REVIEW LETTERS, 1981, 47 (07) :460-463

[2] ON PROBLEM OF HIDDEN VARIABLES IN QUANTUM MECHANICS [J].

BELL, JS .

REVIEWS OF MODERN PHYSICS, 1966, 38 (03) :447-&

[3]

Bell JS, 1964, Physics, V1, P195, DOI [10.1103/Physics-PhysiqueFizika.1.195, DOI 10.1103/PHYSICSPHYSIQUEFIZIKA.1.195]

[4] The logic of quantum mechanics [J].

Birkhoff, G ;

von Neumann, J .

ANNALS OF MATHEMATICS, 1936, 37 :823-843

[5]

Bohm D., 1951, Quantum Theory

[6] Experimental realization of teleporting an unknown pure quantum state via dual classical and Einstein-Podolsky-Rosen channels [J].

Boschi, D ;

Branca, S ;

De Martini, F ;

Hardy, L ;

Popescu, S .

PHYSICAL REVIEW LETTERS, 1998, 80 (06) :1121-1125

[7] Experimental quantum teleportation [J].

Bouwmeester, D ;

Pan, JW ;

Mattle, K ;

Eibl, M ;

Weinfurter, H ;

Zeilinger, A .

NATURE, 1997, 390 (6660) :575-579

[8] Separability of very noisy mixed states and implications for NMR Quantum computing [J].

Braunstein, SL ;

Caves, CM ;

Jozsa, R ;

Linden, N ;

Popescu, S ;

Schack, R .

PHYSICAL REVIEW LETTERS, 1999, 83 (05) :1054-1057

[9]

Buhrman H., QUANTPH9705033

[10] PROPOSED EXPERIMENT TO TEST LOCAL HIDDEN-VARIABLE THEORIES [J].

CLAUSER, JF ;

HORNE, MA ;

SHIMONY, A ;

HOLT, RA .

PHYSICAL REVIEW LETTERS, 1969, 23 (15) :880-&

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