Modified Grover operator for quantum amplitude estimation

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

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


In this paper, we propose a quantum amplitude estimation method that uses a modified Grover operator and quadratically improves the estimation accuracy in the ideal case, as in the conventional one using the standard Grover operator. Under the depolarizing noise, the proposed method can outperform the conventional one in the sense that it can in principle achieve the ultimate estimation accuracy characterized by the quantum Fisher information in the limit of a large number of qubits, while the conventional one cannot achieve the same value of ultimate accuracy. In general this superiority requires a sophisticated adaptive measurement, but we numerically demonstrate that the proposed method can outperform the conventional one and approach to the ultimate accuracy, even with a simple non-adaptive measurement strategy.

Original languageEnglish
Article number083031
JournalNew Journal of Physics
Issue number8
Publication statusPublished - 2021 Aug


  • Fisher information
  • Quantum amplitude estimation
  • Quantum computing
  • Quantum metrology

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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