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Effect on ion-trap quantum computers from the quantum nature of the driving field

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Abstract

In this study, we evaluate the effect on ion-trap quantum computers (QCs) from the quantum nature of the driving field, and propose a theoretical limit for ion-trap QCs that may impact the design of quantum algorithms and realization of practical QCs. We obtain, for the first time, the permitted depth of logical operation for fault-tolerant ion-trap QCs. Physically, we provide an exact (full-quantum) description of the QC system, and present for the first time its time evolution after gate operations; mathematically, we solve problems such as certain summations of trigonometric series with any given precision. Comparing the actual state after CNOT gates driven by a quantized field with the expected state, we obtain the failure probability and estimate that the number of CNOT gates on the same pair of physical qubits is not more than 102 in one error-correction period, which is a physical limit that cannot be easily overcome. The conclusion can help determine the number of CNOT operations between coding and decoding in one error-correction period and can be used as a reference for quantum algorithm design.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant No. 61672517), National Cryptography Development Fund (Grant No. MMJJ20170108), National Key R&D Program of China (Grant No. 2016QY03D0503), and Beijing Municipal Science & Technology Commission (Grant No. Z191100007119006).

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Authors and Affiliations

  1. State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, 100049, China

    Biyao Yang & Li Yang

  2. State Key Laboratory of Cryptology, P.O. Box 5159, Beijing, 100878, China

    Biyao Yang

  3. School of Cyber Security, University of Chinese Academy of Sciences, Beijing, 100093, China

    Biyao Yang & Li Yang

  4. Beijing Institute of Information Application Technology, Beijing, 100044, China

    Biyao Yang

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  1. Biyao Yang
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  2. Li Yang
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Correspondence to Li Yang.

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Yang, B., Yang, L. Effect on ion-trap quantum computers from the quantum nature of the driving field. Sci. China Inf. Sci. 63, 202501 (2020). https://doi.org/10.1007/s11432-019-2689-4

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  • DOI: https://doi.org/10.1007/s11432-019-2689-4

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