Recently, Rathi and Kumar (Quantum Inf Process 22(5):183, 2023) proposed a deception-identifiable \((t,m)\) -threshold quantum secret sharing scheme based on d-dimensional Bell states and single quantum unitary operations. In this scheme, the dealer \( D \) and the participants utilize a series of Bell states and single quantum unitary operations to achieve secret reconstruction and deception detection, while supporting the sharing of both classical secret and quantum state secret. However, through analysis of the deception detection mechanism of this scheme, we found that when dishonest participants perform dishonest unitary operations, these participants have a high probability of successfully framing other participants and passing the deception detection. This finding indicates that the scheme has certain shortcomings in defending against attacks by dishonest participants. To address this issue, we propose two improved schemes that optimize the deception detection mechanism and overcome the security loophole of the original scheme. In the improved schemes, the introduced deception detection mechanisms can effectively identify specific dishonest participants and resist attacks by dishonest participants, thereby further improving the security of the protocol.
