a quantum secure multiparty function computation method based on Lagrangian unitary operator and Shamir (t,n) threshold

摘要

#$%^&*AU2019101361A420191212.pdf#####Abstract Take the current quantum multiparty computing technology as the background, a quantum secure multiparty function computation (QSMFC) method based on Lagrangian unitary operator and Shamir (tn) threshold is proposed. In the proposed method, the server distributes the secret share for each of n participant, then he prepares an initial particle and sends it to the first participant. To complete collaborative computing tasks, each of t participants performs the Lagrangian operator embedding the private input data on the received particle. The server performs Lagrange operator with secret complex angle on the received particle, and then he measures the transformed particle to obtain the final result of the function computation of multiple participants. The proposed method protects the real input data by using the secret angle, while requiring only a small amount of computational operations and resource consumption cost.The server computes all Theserverpreparesan Initialization secret shares and distributes initial particle and ends itto stage each share to the the participant 1 corresponding participant First, the participant 1 computes his secret shadow to generate a secret angle, in addition, chooses randomly a Operator: new rotation angle. Then he performs participant 1 Lagrangian operator on the received particle with his secret angle and the random angle to obtain a new particle. Further he sends it to the participant 2. Privacy First, the participant 2 computes his secret shadow to generate a secret stage angle, in addition, chooses randomly a Operator: new rotation angle. Then he performs participant 2 Lagrangian operator on the received particle with his secret angle and the random angle to obtain a new particle. Further he sends it to the participant 3. First, the participant t computes his secret shadow to generate a secret angle, in addition, chooses randomly a Operator: new rotation angle. Then he performs participants Lagrangian operator on the received particle with his secret angle and the random angle to obtain a new particle. Further he sends it to the server. I------------------------------------ ----------- 1 First, the server computes a secret I complex angle, then he performs the I complex angle on received particle to obtain a new particle that contains the final result of the function computation. Result output , stage The server measures the particle to obtain the result of collaborative I computation of multiple participants, and then he sends it to all participants via a secure channel. I - - - - - - - - - - - - - - - - - - - -