Bell’s Inequality (Following Harrison)

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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 ≥ 0Can’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 - PowerPoint PPT Presentation

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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

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