Abstract: The fault tolerant reversible Hamming code circuits are designed in order to test the reliability of the data in the transmission process. A new reversible gate FVG（Four Variables parity preserving Gate：FVG） was proposed, which is four variables parity preserving gate to fault tolerant and the quantum equivalent implementations of FVG was also given. Fault tolerant reversible code encoding and detection circuits were designed using FVG and existing gates. Taking the design of the (7, 4) Hamming code as an example, the performance of circuit’s was evaluated in terms of quantum cost and delay. The results prove that the performance of the proposed circuits is improved by 10% to 20% than existing counterparts. Simulation results indicate that circuit’ logic structures are correct and their performances are reliable.

Key words: quantum information reversible logic, fault tolerant, Hamming code, FVG gate, encoding and detection