  Our aim is to formulate continuous-variable quantum secret sharing as a
continuous-variable ramp quantum secret sharing protocol, provide a
certification procedure for it and explain the criteria for the certification.
Here we introduce a technique for certifying continuous-variable ramp quantum
secret-sharing schemes in the framework of quantum interactive-proof systems.
We devise pseudocodes in order to represent the sequence of steps taken to
solve the certification problem. Furthermore, we derive the expression for
quantum mutual information between the quantum secret extracted by any
multi-player structure and the share held by the referee corresponding to the
Tyc-Rowe-Sanders continuous-variable quantum secret-sharing scheme. We solve by
converting the Tyc-Rowe-Sanders position representation for the state into a
Wigner function from which the covariance matrix can be found, then insert the
covariance matrix into the standard formula for continuous-variable quantum
mutual information to obtain quantum mutual information in terms of squeezing.
Our quantum mutual information result quantifies the leakage of the ramp
quantum secret-sharing schemes.
