Fault-tolerant quantum cryptographic protocols with collective detection over the collective amplitude damping channel

Abstract

In this paper, a quantum key distribution (QKD) protocol, which can be immune to collective amplitude damping noise, is proposed with collective detection strategy. Then a multi-party quantum secret sharing (MQSS) protocol and a quantum private comparison (QPC) protocol are introduced as two applications of the proposed QKD protocol. Except for one participant who is responsible for preparing and measuring quantum states, the rest of the users in each of these protocols only need to perform certain unitary operations due to the utilization of collective detection. Therefore, in addition to the advantage of being secure against collective amplitude damping noise, the proposed protocols still have the advantages of higher qubit efficiency and lower cost for implementation. Moreover, the security of these protocols is guaranteed by theorems on quantum operation discrimination.