Table 1 Operations of \(TP_{1}\), \(TP_{2}\) and \(P_{n}\) under different Cases
From: Multi-party semiquantum private comparison of size relationship with d-dimensional Bell states
Case | The mode of \(P_{n}\) | The mode of \(TP_{2}\) | The operations of \(P_{n}\), \(TP_{1}\) and \(TP_{2}\) |
|---|---|---|---|
Case 1 | The REFLECT mode | The REFLECT mode | \(TP_{1}\) measures \(S_{n}^{l''}\) and \(M_{n}^{l}\) with the d-dimensional Bell basis |
Case 2 | The REFLECT mode | The MEASURE mode | \(TP_{2}\) publishes the state of \(S_{n}^{l''}\); \(TP_{1}\) measures \(S_{n}^{l''}\) and \(M_{n}^{l}\) with the \(T_{1}\) basis |
Case 3 | The MEASURE mode | The REFLECT mode | \(P_{n}\) publishes the state of \(S_{n}^{l'}\); \(TP_{1}\) measures \(S_{n}^{l''}\) and \(M_{n}^{l}\) with the \(T_{1}\) basis |
Case 4 | The MEASURE mode | The MEASURE mode | \(P_{n}\) publishes the state of \(S_{n}^{l'}\); \(TP_{2}\) publishes the state of \(S_{n}^{l''}\); \(TP_{1}\) measures \(S_{n}^{l''}\) and \(M_{n}^{l}\) with the \(T_{1}\) basis |