Table 3 The possible Bell state measurement results in the Brown Twiss scheme mode sorting.
From: High-dimensional quantum key distribution implemented with biphotons
States sent by Alice and Bob | Charlie’s measurement results | |||||||
|---|---|---|---|---|---|---|---|---|
\(D_{\alpha _{L}}D_{\beta _{L}}D_{\gamma _{L}}\) | \(D_{\alpha _{R}}D_{\beta _{R}}D_{\gamma _{R}}\) | \(D_{\alpha _{L}}D_{\beta _{L}}D_{\gamma _{R}}\) | \(D_{\alpha _{L}}D_{\beta _{R}}D_{\gamma _{R}}\) | \(D_{\alpha _{L}}D_{\beta _{R}}D_{\gamma _{L}}\) | \(D_{\alpha _{R}}D_{\beta _{L}}D_{\gamma _{L}}\) | \(D_{\alpha _{R}}D_{\beta _{L}}D_{\gamma _{R}}\) | \(D_{\alpha _{R}}D_{\beta _{R}}D_{\gamma _{L}}\) | |
\(|\acute{\alpha }\rangle\) or \(|\bar{\alpha }\rangle\) | Conclusive | Conclusive | Inconclusive | Inconclusive | Inconclusive | Inconclusive | Inconclusive | Inconclusive |
\(|\acute{\beta }\rangle\) or \(|\bar{\beta }\rangle\) | Conclusive | Conclusive | Inconclusive | Inconclusive | Inconclusive | Inconclusive | Inconclusive | Inconclusive |
\(|\acute{\gamma }\rangle\) or \(|\bar{\gamma }\rangle\) | Conclusive | Conclusive | Inconclusive | Inconclusive | Inconclusive | Inconclusive | Inconclusive | Inconclusive |
