Multi-dimensional quantum state sharing based on quantum Fourier transform

Rational quantum secret sharing

“…Indeed, the protocol of RQSS is also different from that suggested in 24 . In our scheme, the dealer applies the quantum inverse Fourier transform onto the shared state, and then performs the quantum-controlled-not operations and quantum Fourier transform to hide the shared state into an entangled state.…”

“…In our scheme, it is assumed that the shared secret is a d -dimensional quantum state and quantum operations, such as the quantum Fourier transform and quantum-controlled-not, are employed. Although similar assumptions and operations are used in our previous work 24 , the design and focus of this paper are totally different. The main feature of our scheme is to manage the “rationality”.…”

“…The main feature of our scheme is to manage the “rationality”. The scheme in 24 is only a traditional QSS scheme without considering the “rationality”.…”

“…Furthermore, we analyze different strategies and utilities of the rational participant, and derive conditions to ensure rational participants to follow the protocol faithfully, by achieving the Nash equilibrium. All these novel contents do not appear in 24 .…”

“…Some basic quantum operations, such as the quantum Fourier transform and quantum-controlled-not, are employed. Unlike our previous work 24 and other QSS schemes, here the issue of “rationality” is focused. Game theory is introduced to analyze the rational behavior of participants, based on the concepts of rationality, fairness and Nash equilibrium.…”