Amplitude estimation without phase estimation

Yohichi Suzuki, Shumpei Uno, Rudy Raymond, Tomoki Tanaka, Tamiya Onodera, Naoki Yamamoto

研究成果: Article査読

67 被引用数 (Scopus)

抄録

This paper focuses on the quantum amplitude estimation algorithm, which is a core subroutine in quantum computation for various applications. The conventional approach for amplitude estimation is to use the phase estimation algorithm, which consists of many controlled amplification operations followed by a quantum Fourier transform. However, the whole procedure is hard to implement with current and near-term quantum computers. In this paper, we propose a quantum amplitude estimation algorithm without the use of expensive controlled operations; the key idea is to utilize the maximum likelihood estimation based on the combined measurement data produced from quantum circuits with different numbers of amplitude amplification operations. Numerical simulations we conducted demonstrate that our algorithm asymptotically achieves nearly the optimal quantum speedup with a reasonable circuit length.

本文言語English
論文番号75
ジャーナルQuantum Information Processing
19
2
DOI
出版ステータスPublished - 2020 2月 1

ASJC Scopus subject areas

  • 電子材料、光学材料、および磁性材料
  • 統計物理学および非線形物理学
  • 理論的コンピュータサイエンス
  • 信号処理
  • モデリングとシミュレーション
  • 電子工学および電気工学

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