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Experimental demonstration of deterministic quantum search algorithms on a programmable silicon photonic chip

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Abstract

The Grover quantum search algorithm is a landmark quantum computing application, which has a speed advantage over classical algorithms for searching an unsorted database. For an unsorted database of N items, the classical algorithm needs to search O(N) times, while the Grover algorithm only needs \(O(\sqrt N)\) times. However, except for the special case of N = 4, the traditional Grover algorithm always has some probability of failure. To solve this problem, several schemes for deterministically performing quantum search have been proposed, but they all impose additional requirements on the query Oracle and cannot be implemented in many practical scenarios. Recently, Roy et al. [Phys. Rev. Res. 4, L022013 (2022)] proposed a new deterministic quantum search scheme with no additional requirements on the query Oracle, which has the potential to perfectly replace the traditional Grover algorithm. In this study, we experimentally implement on a programmable silicon quantum photonic chip four deterministic quantum search algorithms, including the Roy algorithm, all of which obtained an average search success rate of over 0.93, exceeding the theoretical maximum of 0.9074 that the traditional Grover algorithm can achieve. Our results demonstrate the feasibility and superiority of the deterministic quantum search algorithms and are expected to facilitate the wider application of these algorithms in future quantum information processing.

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Authors and Affiliations

  1. State Key Laboratory of Optoelectronic Materials and Technologies, School of Physics, Sun Yat-sen University, Guangzhou, 510000, China

    Zhi-Hao Li, Gui-Fang Yu, Ya-Xin Wang, Ze-Yu Xing, Ling-Wen Kong & Xiao-Qi Zhou

  2. Hefei National Laboratory, Hefei, 230088, China

    Xiao-Qi Zhou

Authors
  1. Zhi-Hao Li
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  2. Gui-Fang Yu
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  3. Ya-Xin Wang
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  4. Ze-Yu Xing
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  5. Ling-Wen Kong
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  6. Xiao-Qi Zhou
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Corresponding author

Correspondence to Xiao-Qi Zhou.

Additional information

This work was supported by the National Key Research and Development Program (Grant No. 2017YFA0305200), the Key Research and Development Program of Guangdong Province of China (Grant Nos. 2018B030329001, and 2018B030325001), and the National Natural Science Foundation of China (Grant No. 61974168). X.-Q. Zhou acknowledges support from the National Young 1000 Talents Plan.

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The supporting information is available online at http://phys.scichina.com and https://link.springer.com. The supporting materials are published as submitted, without typesetting or editing. The responsibility for scientific accuracy and content remains entirely with the authors.

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Li, ZH., Yu, GF., Wang, YX. et al. Experimental demonstration of deterministic quantum search algorithms on a programmable silicon photonic chip. Sci. China Phys. Mech. Astron. 66, 290311 (2023). https://doi.org/10.1007/s11433-023-2130-9

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