Table 2 Comparison results between this protocol and previous SQPC protocols of size relationship
From: Multi-party semiquantum private comparison of size relationship with d-dimensional Bell states
|  | Quantum resource | Number of users | Number of TP | Type of TP | Usage of unitary operation | Usage of quantum entanglement swapping | Usage of pre-shared key | Classical users’ quantum measurement | TP’s knowledge about the comparison result | TP’s quantum measurement |
|---|---|---|---|---|---|---|---|---|---|---|
The protocol of Ref. [30] | d-dimensional Bell states | 2 | 1 | Semi-honest | No | No | Yes | d-dimensional single-particle measurements | Yes | d-dimensional Bell state measurements and d-dimensional single-particle measurements |
The protocol of Ref. [31] | d-dimensional single-particle states | 2 | 1 | Semi-honest | No | No | Yes | d-dimensional single-particle measurements | No | d-dimensional single-particle measurements |
The first protocol of Ref. [32] | d-dimensional single-particle states | 2 | 1 | Semi-honest | No | No | Yes | d-dimensional single-particle measurements | Yes | d-dimensional single-particle measurements |
The second protocol of Ref. [32] | d-dimensional single-particle states | 2 | 1 | Semi-honest | Yes | No | Yes | d-dimensional single-particle measurements | Yes | d-dimensional single-particle measurements |
The protocol of Ref. [33] | d-dimensional Bell states | 2 | 1 | Semi-honest | No | No | Yes | No | Yes | d-dimensional Bell state measurements and d-dimensional single-particle measurements |
The protocol of Ref. [34] | d-dimensional GHZ states | 2 | 1 | Semi-honest | No | No | Yes | d-dimensional single-particle measurements | Yes | d-dimensional GHZ state measurements, d-dimensional Bell state measurements and d-dimensional single-particle measurements |
This protocol | d-dimensional Bell states | N | 2 | Semi-honest | No | No | Yes | d-dimensional single-particle measurements | Yes | d-dimensional Bell state measurements and d-dimensional single-particle measurements |