Results 11 to 20 of about 96,436 (259)
Amplitude Estimation from Quantum Signal Processing [PDF]
Quantum, 2023 Amplitude estimation algorithms are based on Grover's algorithm: alternating reflections about the input state and the desired outcome. But what if we are given the ability to perform arbitrary rotations, instead of just reflections?
Patrick Rall, Bryce Fuller
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On the bias in iterative quantum amplitude estimation [PDF]
EPJ Quantum Technology, 2023 Quantum amplitude estimation (QAE) is a pivotal quantum algorithm to estimate the squared amplitude a of the target basis state in a quantum state |Φ〉\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts ...
Koichi Miyamoto
semanticscholar +4 more sources
The Quantum Amplitude Estimation Algorithms on Near-Term Devices: A Practical Guide
Quantum Reports, 2023 The Quantum Amplitude Estimation (QAE) algorithm is a major quantum algorithm designed to achieve a quadratic speed-up. Until fault-tolerant quantum computing is achieved, being competitive over classical Monte Carlo (MC) remains elusive.
Marco Maronese +3 more
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Quantum Amplitude Estimation for Probabilistic Methods in Power Systems [PDF]
CoRR, 2023 This paper introduces quantum computing methods for Monte Carlo simulations in power systems which are expected to be exponentially faster than their classical computing counterparts.
Emilie Jong +3 more
semanticscholar +3 more sources
Modified Iterative Quantum Amplitude Estimation is Asymptotically Optimal [PDF]
Workshop on Algorithm Engineering and Experimentation, 2022 In this work, we provide the first QFT-free algorithm for Quantum Amplitude Estimation (QAE) that is asymptotically optimal while maintaining the leading numerical performance.
Shion Fukuzawa +3 more
semanticscholar +3 more sources
Efficient State Preparation for Quantum Amplitude Estimation [PDF]
Physical Review Applied, 2020 Quantum Amplitude Estimation (QAE) can achieve a quadratic speed-up for applications classically solved by Monte Carlo simulation. A key requirement to realize this advantage is efficient state preparation.
Almudena Carrera Vazquez, Stefan Woerner
semanticscholar +4 more sources
Quantum Fourier Iterative Amplitude Estimation
2023 IEEE International Conference on Quantum Computing and Engineering (QCE), 2023 17 pages, 5 figures, 2 ...
Jorge J Martinez De Lejarza +2 more
exaly +3 more sources
Faster Coherent Quantum Algorithms for Phase, Energy, and Amplitude Estimation [PDF]
Quantum, 2021 We consider performing phase estimation under the following conditions: we are given only one copy of the input state, the input state does not have to be an eigenstate of the unitary, and the state must not be measured.
Patrick Rall
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Noisy quantum amplitude estimation without noise estimation [PDF]
Physical Review A, 2022 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 handled via the established statistical estimation theory. However, this problem has an intrinsic difficulty that the system, i.e., the real quantum computing device ...
Tomoki Tanaka +2 more
exaly +3 more sources
Amplitude estimation via maximum likelihood on noisy quantum computer [PDF]
Quantum Information Processing, 2021 AbstractRecently we find several candidates of quantum algorithms that may be implementable in near-term devices for estimating the amplitude of a given quantum state, which is a core subroutine in various computing tasks such as the Monte Carlo methods.
Tomoki Tanaka +2 more
exaly +3 more sources