Expressibility of the alternating layered ansatz for quantum computation

Kouhei Nakaji, Naoki Yamamoto

研究成果: Article査読

19 被引用数 (Scopus)

抄録

The hybrid quantum-classical algorithm is actively examined as a technique applicable even to intermediate-scale quantum computers. To execute this algorithm, the hardware efficient ansatz is often used, thanks to its implementability and expressibility; however, this ansatz has a critical issue in its trainability in the sense that it generically suffers from the so-called gradient vanishing problem. This issue can be resolved by limiting the circuit to the class of shallow alternating layered ansatz. However, even though the high trainability of this ansatz is proved, it is still unclear whether it has rich expressibility in state generation. In this paper, with a proper definition of the expressibility found in the literature, we show that the shallow alternating layered ansatz has almost the same level of expressibility as that of hardware efficient ansatz. Hence the expressibility and the trainability can coexist, giving a new designing method for quantum circuits in the intermediate-scale quantum computing era.

本文言語English
ジャーナルQuantum
5
DOI
出版ステータスPublished - 2021

ASJC Scopus subject areas

  • 原子分子物理学および光学
  • 物理学および天文学(その他)

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