Counterfactual All-Or-Nothing Oblivious Transfer for Quantum Messages

Oblivious transfer (OT) protocol is an essential building block for secure multiparty computation. The transmission of quantum messages is conductive in executing complex secure multiparty quantum computation tasks and even distributed quantum computation tasks. However, as an important form of OT protocol, existing all-or-nothing OT protocols only work for the transmission of classical messages thus limiting application scenarios. To tackle this issue, a counterfactual all-or-nothing OT protocol is proposed for quantum messages. Compared with existing all-or-nothing OT protocols for classical messages, the proposed protocol has three advantages: i) it is achieved without any physical particles traveling between the sender and the receiver thus reducing the communication complexity; ii) no prior entanglement between the sender and the receiver is required thus facilitating protocol implementation, and iii) it works for known even unknown quantum messages thereby offering broader application scenarios.