The Einstein-Podolsky-Rosen state maximally violates Bell's inequalities
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The Einstein-Podolsky-Rosen state maximally violates Bell's inequalities. / Halvorson, Hans.
I: Letters in Mathematical Physics, Bind 53, Nr. 4, 09.2000, s. 321-329.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - The Einstein-Podolsky-Rosen state maximally violates Bell's inequalities
AU - Halvorson, Hans
PY - 2000/9
Y1 - 2000/9
N2 - 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.
AB - 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.
KW - Bell correlation
KW - Type II factor
KW - Weyl algebra
U2 - 10.1023/A:1007609031556
DO - 10.1023/A:1007609031556
M3 - Journal article
AN - SCOPUS:0012750454
VL - 53
SP - 321
EP - 329
JO - Letters in Mathematical Physics
JF - Letters in Mathematical Physics
SN - 0377-9017
IS - 4
ER -
ID: 289118702