Error-detected three-photon hyperparallel Toffoli gate with state-selective reflection

Abstract

We present an error-detected hyperparallel Toffoli (hyper-Toffoli) gate for a three-photon system based on the interface between polarized photon and cavity-nitrogen-vacancy (NV) center system. This hyper-Toffoli gate can be used to perform double Toffoli gate operations simultaneously on both the polarization and spatial-mode degrees of freedom (DoFs) of a three-photon system with a low decoherence, shorten operation time, and less quantum resources required, in compared with those on two independent three-photon systems in one DoF only. As the imperfect cavity-NV-center interactions are transformed into the detectable failures rather than infidelity based on the heralding mechanism of detectors, a near-unit fidelity of the quantum hyper-Toffoli gate can be implemented. By recycling the procedures, the efficiency of our protocol for the hyper-Toffoli gate is improved further. Meanwhile, the evaluation of gate performance with achieved experiment parameters shows that it is feasible with current experimental technology and provides a promising building block for quantum compute.

Graphical abstract

Keywords

hyperparallel Toffoli gate / photon system / quantum information processing

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Contract 61901420, the Shanxi Province Science Foundation for Youths under Contract 201901D211235, the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi under Contract 2019L0507, and the Shanxi “1331 Project” Key Subjects Construction.

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