Table 2 Possible outcomes and the corresponding probabilities for different measurement settings in the perfect model. Outcome \(i j \in \{+,-,?\}\times \{+,-,?\}\) represents i at Alice and j at Bob. It can be verified that the conditional probability distributions are no-signalling50.
From: Bright-light detector control emulates the local bounds of Bell-type inequalities
Polarization emitted from source | Measurement outcome | Joint probability at measurement setting | |||
|---|---|---|---|---|---|
\(\alpha _0 \beta _0\) | \(\alpha _1 \beta _0\) | \(\alpha _0 \beta _1\) | \(\alpha _1 \beta _1\) | ||
\(\alpha _0 \beta _0\) | \({+}+\) | a | b/2 | 0 | 0 |
\(+-\) | 0 | 0 | a | b/2 | |
\(-+\) | 0 | b/2 | 0 | 0 | |
\({-}-\) | 0 | 0 | 0 | b/2 | |
\(?+\) | \(1-a\) | \(1-b\) | 0 | 0 | |
\(?-\) | 0 | 0 | \(1-a\) | \(1-b\) | |
\(\alpha _1 \beta _1\) | \({+}+\) | b/2 | a | b/2 | a |
\(+-\) | 0 | 0 | 0 | 0 | |
\(-+\) | b/2 | 0 | b/2 | 0 | |
\({-}-\) | 0 | 0 | 0 | 0 | |
\(?+\) | \(1-b\) | \(1-a\) | \(1-b\) | \(1-a\) | |
\(?-\) | 0 | 0 | 0 | 0 | |
