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Quantum many-body simulations on digital quantum computers: State-of-the-art and future challenges

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  • Benedikt Fauseweh

    (German Aerospace Center (DLR)
    TU Dortmund University)

Abstract

Simulating quantum many-body systems is a key application for emerging quantum processors. While analog quantum simulation has already demonstrated quantum advantage, its digital counterpart has recently become the focus of intense research interest due to the availability of devices that aim to realize general-purpose quantum computers. In this perspective, we give a selective overview of the currently pursued approaches, review the advances in digital quantum simulation by comparing non-variational with variational approaches and identify hardware and algorithmic challenges. Based on this review, the question arises: What are the most promising problems that can be tackled with digital quantum simulation? We argue that problems of a qualitative nature are much more suitable for near-term devices then approaches aiming purely for a quantitative accuracy improvement.

Suggested Citation

  • Benedikt Fauseweh, 2024. "Quantum many-body simulations on digital quantum computers: State-of-the-art and future challenges," Nature Communications, Nature, vol. 15(1), pages 1-13, December.
    • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-46402-9
    DOI: 10.1038/s41467-024-46402-9
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    1. Hannes Bernien & Sylvain Schwartz & Alexander Keesling & Harry Levine & Ahmed Omran & Hannes Pichler & Soonwon Choi & Alexander S. Zibrov & Manuel Endres & Markus Greiner & Vladan Vuletić & Mikhail D., 2017. "Probing many-body dynamics on a 51-atom quantum simulator," Nature, Nature, vol. 551(7682), pages 579-584, November.
    2. J. Zhang & G. Pagano & P. W. Hess & A. Kyprianidis & P. Becker & H. Kaplan & A. V. Gorshkov & Z.-X. Gong & C. Monroe, 2017. "Observation of a many-body dynamical phase transition with a 53-qubit quantum simulator," Nature, Nature, vol. 551(7682), pages 601-604, November.
    3. T. M. Graham & Y. Song & J. Scott & C. Poole & L. Phuttitarn & K. Jooya & P. Eichler & X. Jiang & A. Marra & B. Grinkemeyer & M. Kwon & M. Ebert & J. Cherek & M. T. Lichtman & M. Gillette & J. Gilbert, 2022. "Multi-qubit entanglement and algorithms on a neutral-atom quantum computer," Nature, Nature, vol. 604(7906), pages 457-462, April.
    4. B. Keimer & S. A. Kivelson & M. R. Norman & S. Uchida & J. Zaanen, 2015. "From quantum matter to high-temperature superconductivity in copper oxides," Nature, Nature, vol. 518(7538), pages 179-186, February.
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