Bell’s Inequality
(Following Harrison)
• A-B + B-C ≥ A-C
• This will be true for all A, B, C.
Proof
• A-BC + -AB-C ≥ 0
Can’t be negative
• Add A-B-C + AB-C
to both sides
• Right side: 0 + A-B-C + AB-C
• A-B-C
AB-C
All are either
• -------B or -B
• A-C
Proof Cont.
•
•
•
•
•
•
Left Side
A-BC + -AB-C
A-B-C + AB-C
------------------A-B + B-C
Putting the two sides together gives Bell’s
Inequality.
• A-B + B-C ≥ A-C