output
20052026
most citedAmplitude estimation without phase estimation

246 citations

Showing 2021Show all

6 papers · 1 filter

cs.CR2021★ 11 cited

The Present and Future of Discrete Logarithm Problems on Noisy Quantum Computers

Yoshinori Aono, Sitong Liu, Tomoki Tanaka +4

The discrete logarithm problem (DLP) is the basis for several cryptographic primitives. Since Shor's work, it has been known that the DLP can be solved by combining a polynomial-si…

quant-ph2021★ 12 cited

Noisy quantum amplitude estimation without noise estimation

Tomoki Tanaka, Shumpei Uno, Tamiya Onodera +2

Many quantum algorithms contain an important subroutine, the quantum amplitude estimation. As the name implies, this is essentially the parameter estimation problem and thus can be…

math-ph2021

Static analysis for coupled nonlinear Klein-Gordon equations with asymmetric parameter settings

Yasuhiro Takei, Yoritaka Iwata

Klein-Gordon equations describe the dynamics of waves/particles in sub-atomic scales. For a system of nonlinear Klein-Gordon equations, a systematic analysis of the time evolution…

cs.LG2021★ 6 cited

ASAT: Adaptively Scaled Adversarial Training in Time Series

Zhiyuan Zhang, Wei Li, Ruihan Bao +3

Adversarial training is a method for enhancing neural networks to improve the robustness against adversarial examples. Besides the security concerns of potential adversarial exampl…

quant-ph2021★ 7 cited

Linear Regression by Quantum Amplitude Estimation and its Extension to Convex Optimization

Kazuya Kaneko, Koichi Miyamoto, Naoyuki Takeda +1

Linear regression is a basic and widely-used methodology in data analysis. It is known that some quantum algorithms efficiently perform least squares linear regression of an expone…

quant-ph2021★ 101 cited

Approximate amplitude encoding in shallow parameterized quantum circuits and its application to financial market indicator

Kouhei Nakaji, Shumpei Uno, Yohichi Suzuki +6

Efficient methods for loading given classical data into quantum circuits are essential for various quantum algorithms. In this paper, we propose an algorithm called Approximate Amp…