A CH-type Inequality For Real Experiments
A. Shafiee
We derive an efficient CH-type inequality. Quantum mechanics violates our proposed inequality independent of the detection-efficiency problem. In photonic Bell-type experiments [1], when photon pairs with parallel linear polarizations are emitted, one can consider a Clauser-Horne (CH) inequality [2], at the level of hidden variables, in the form where − 1 ≤ Srq,HV (â, ̂ b, â ′ , ̂ b ′ , λ) ≤ 0 (1) Srq,HV (â, ̂b, â ′ , ̂ b ′, λ) = p (1) r (â, λ) p (2) q (̂b, λ) − p (2) q ( ̂ b ′, λ)] +p (1) r ( â ′ , λ) [ p (2) q ( ̂b, λ) + p (2) q ( ̂ b ′, λ)] −p (1) r (â ′ , λ) − p (2) q ( ̂ b, λ) (2) In (2), we are considering four sub-ensemble of photon pairs with linear polarizations along (â, ̂ b), (â, ̂ b ′), ( â ′ , ̂ b), and ( â ′ , ̂ b ′ ) in which one registers
•Jan 6, 2004•3 citations