The Einstein-Podolsky-Rosen state maximally violates Bell's inequalities

被引:16
作者
Halvorson, H [1 ]
机构
[1] Univ Pittsburgh, Dept Philosophy, Pittsburgh, PA 15260 USA
关键词
Bell correlation; Weyl algebra; type II factor;
D O I
10.1023/A:1007609031556
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In their well-known argument against the completeness of quantum theory, Einstein, Podolsky, and Rosen (EPR) made use of a state that strictly correlates the positions and momenta of two particles. We prove the existence and uniqueness of the EPR state as a normalized, positive linear functional of the Weyl algebra for two degrees of freedom. We then show that the EPR state maximally violates Bell's inequalities.
引用
收藏
页码:321 / 329
页数:9
相关论文
共 15 条
[1]   EXTENSIONS, RESTRICTIONS, AND REPRESENTATIONS OF STATES ON C-STAR-ALGEBRAS [J].
ANDERSON, J .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 249 (02) :303-329
[2]   On the concept of Einstein-Podolsky-Rosen states and their structure [J].
Arens, R ;
Varadarajan, VS .
JOURNAL OF MATHEMATICAL PHYSICS, 2000, 41 (02) :638-651
[3]  
Bell J. S, 1987, SPEAKABLE UNSPEAKABL
[4]  
BELL JS, 1986, ANN NY ACAD SCI, V480, P263, DOI DOI 10.1111/J.1749-6632.1986.TB12429.X
[5]   Nonlocality of the original Einstein-Podolsky-Rosen state [J].
Cohen, O .
PHYSICAL REVIEW A, 1997, 56 (05) :3484-3492
[6]   Can quantum-mechanical description of physical reality be considered complete? [J].
Einstein, A ;
Podolsky, B ;
Rosen, N .
PHYSICAL REVIEW, 1935, 47 (10) :0777-0780
[7]   Maximal beable subalgebras of quantum mechanical observables [J].
Halvorson, H ;
Clifton, R .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1999, 38 (10) :2441-2484
[8]  
Kadison R. V., 1997, Grad. Stud. Math., V16
[10]  
MANUCEAU J, 1968, ANN I H POINCARE A, V8, P139