Fig. 3: For each requisite bit conjunction in Stage I, the 12-qubit graph state \(| G\rangle\) is distributed to R (the Referee) and a pair of parties labeled Ai (Alice), Bi (Bob). | npj Quantum Information

Fig. 3: For each requisite bit conjunction in Stage I, the 12-qubit graph state \(| G\rangle\) is distributed to R (the Referee) and a pair of parties labeled Ai (Alice), Bi (Bob).

From: Heralded photonic graph states with inefficient quantum emitters

Fig. 3: For each requisite bit conjunction in Stage I, the 12-qubit graph state $$| G\rangle$$ ∣ G 〉 is distributed to R (the Referee) and a pair of parties labeled Ai (Alice), Bi (Bob).

When the measurement sequence detailed by the protocol is implemented honestly, a correlation is generated between the parties, such that aibi = mi,12 + αi + βi, where αi and βi are locally computed by Alice and Bob, respectively, from openings made in Stage II. Hence, we utilize each copy of the state to achieve a homomorphic encryption of a bit conjunction aibi, where Alice, Bob, and the Referee each possess an additive share. The numeric script above each qubit reflects an example photon emission order for the generation of the graph state.

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