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