Amplitude estimation without phase estimation

By Yohichi Suzuki, Shumpei Uno, Rudy Raymond, Tomoki Tanaka, Tamiya Onodera, Naoki Yamamoto. Quantum Information Processing, 2019

295 citations recorded by the source corpus.

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.

Subfields: Artificial Intelligence, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/48c5a34f064d8e2acb5143a8fce615fd4c4e2cc9

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In Artificial Intelligence

In Computational Theory and Mathematics

Citations in the corpus

Option Pricing using Quantum Computers (2019, methodology): “We note that this evaluation is relevant to any quantum algorithm realizing AE without phase estimation and is independent of the approach described in [22] or any other particular implementation.”
Quantum Computing for Finance: State-of-the-Art and Future Prospects (2020, background): “Recently, several variants of AE have been proposed that simplify the required quantum circuits [29, 30, 31].”