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Heralded high-fidelity photonic hyper-CNOT gates with quantum scattering in one-dimensional waveguides

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Abstract

Hyper-parallel quantum computation offers irreplaceable advantages in quantum information processing (QIP). In this article, based on the scattering property of photons off emitters coupled to one-dimensional (1D) waveguides, we propose three heralded schemes for implementing hyper-controlled-not (hyper-CNOT) gates on two-photon systems. The four qubits of our hyper-CNOT gates are encoded on the spatial-mode and the polarization degrees of freedom (DOFs) of two-photon systems. In our schemes, the faulty scattering events between photons and quantum emitters caused by system imperfections can be detected and discarded. Besides, no auxiliary photons are needed during the process, reducing the operation time and resource consumption in QIP. We also discuss the success probabilities and fidelities of our schemes, concluding that our schemes may be feasible under current technology.

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Acknowledgements

We thank Ming Hua and Yang-Yang Wang for stimulating discussions. This work is supported by the Tianjin Natural Science Foundation under Grant No. 23JCQNJC00560, the Natural Science Funds of Tianjin Normal University under Grant No. YJRC202421, the National Natural Science Foundation of China under Grants No. 12004281 and No. 62371038, Scientific Research the Natural Science Basic Research Program of Shaanxi under Grant No. 2023-JC-QN-0092, Program Funded by Education Department of Shaanxi Provincial Government under Grant No. 23JK0705.

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  1. College of Physics and Materials Science, Tianjin Normal University, Tianjin, 300387, China

    Xue-Tong Sun, Yu-Ying Gu & Guo-Zhu Song

  2. School of Public Health, Tianjin University of Traditional Chinese Medicine, Tianjin, 301617, China

    Jing-Xue Zhang

  3. School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, 100083, China

    Hai-Rui Wei

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G.-Z. Song and X.-T. Sun proposed the idea and wrote the main manuscript text. All authors reviewed the manuscript.

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Sun, XT., Zhang, JX., Gu, YY. et al. Heralded high-fidelity photonic hyper-CNOT gates with quantum scattering in one-dimensional waveguides. Quantum Inf Process 23, 326 (2024). https://doi.org/10.1007/s11128-024-04533-4

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