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Schemes for fusing photonic W-state simultaneously without qubit loss via weak cross-Kerr nonlinearities

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Abstract

We propose three schemes to generate polarization W-states of size \(n+m\), \(n+m+t\), and \(n+m+t+z\) without qubit loss, i.e., large-sized \(W_{n+m}\) (\(W_{n+m+t}\) and \(W_{n+m+t+z}\)) is generated from one \(W_n\) and one \(W_m\) (one \(W_n\), one \(W_m\), and one \(W_t\), and one \(W_n\), one \(W_m\), one \(W_t\), and one \(W_z\)). The qubit-loss-free fusion mechanism increases the size of the fusion W states essentially, i.e., reduces the fusion steps, which makes the implementations of the schemes possible within current technology. Ancillary photons, controlled-NOT, Toffoli, Fredkin, and partial-SWAP gates are not required in our schemes. In addition, the number of the coherence states is reduced from 3 to 2, and path couplers are not employed. There is no complete failure output, and all garbage states are recyclable in the \(W_{n+m}\) fusion scheme.

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Acknowledgements

This work is supported by the Fundamental Research Funds for the Central Universities under Grants No. FRF-TP-19-011A3, the National Natural Science Foundation of China under Grants Nos. 11604012, 61901420 and 12004281, and a grant from the China Scholarship Council.

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Authors and Affiliations

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

    Yan-Bei Zheng, Xin-Jie Zhou & Hai-Rui Wei

  2. Science and Technology on Electronic Test and Measurement Laboratory, North University of China, Taiyuan, 030051, China

    Fang-Fang Du

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

    Guo-Zhu Song

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  1. Yan-Bei Zheng
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Zheng, YB., Zhou, XJ., Wei, HR. et al. Schemes for fusing photonic W-state simultaneously without qubit loss via weak cross-Kerr nonlinearities. Quantum Inf Process 20, 273 (2021). https://doi.org/10.1007/s11128-021-03210-0

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