Application Of Quantum Entropies In Quantum Multiparty Dense Coding

In quantum dense coding,the sender and receiver share a related compound quantum system AB.It is found through research that the maximum amount of information that the sender can send to the receiver in confidence is the quantum mutual information between A and B.That is to say,the information capacity of quantum dense coding is the mutual information of the encoding parties.The above findings can be extended to the quantum multi-party dense coding,and the information capacity that multiple senders can send to the receiver in confidence is also related to the quantum mutual information between the two parties,which can be expressed in the form of quantum entropy.In this paper,based on the information capacity of quantum dense coding,the calculation method of information capacity of quantum multiparty dense coding is given.It is proved that in the case of 2 senders and 1 receiver,each sender transmits the number of classic messages,furthermore,in the multi-party dense coding,due to the randomness of the sender's order,the achievable rate range in which information can be safely sent is obtained.Finally,we discuss the relationship between the information capacity in the case of multiple senders as a whole and the information capacity in the quantum multi-party dense coding.It is calculated that the channel capacity in the case of multiple senders as a whole will not be greater than the information capacity in the quantum multi-party dense coding.Therefore,the conclusion can be extended to the quantum multi-party dense coding of N senders,and the maximum amount of information that can be safely sent is obtained.