Results 1 to 10 of about 96,337 (160)

Iterative quantum amplitude estimation [PDF]

npj Quantum Information, 2021
We introduce a variant of Quantum Amplitude Estimation (QAE), called Iterative QAE (IQAE), which does not rely on Quantum Phase Estimation (QPE) but is only based on Grover’s Algorithm, which reduces the required number of qubits and gates.
Dmitry Grinko, Julien Gacon, Christa Zoufal, Stefan Woerner   +3 more
doaj   +7 more sources

Noise-Aware Quantum Amplitude Estimation [PDF]

IEEE Transactions on Quantum Engineering, 2021
In this article, based on some simple and reasonable assumptions, we derive a Gaussian noise model for quantum amplitude estimation. We provide results from quantum amplitude estimation run on various IBM superconducting quantum computers and on ...
Steven Herbert, Ifan Williams, Roland Guichard, Darren Ng   +3 more
doaj   +6 more sources

Variational quantum amplitude estimation [PDF]

Quantum, 2022
We propose to perform amplitude estimation with the help of constant-depth quantum circuits that variationally approximate states during amplitude amplification.
Kirill Plekhanov, Matthias Rosenkranz, Mattia Fiorentini, Michael Lubasch   +3 more
doaj   +5 more sources

Low depth algorithms for quantum amplitude estimation [PDF]

Quantum, 2022
We design and analyze two new low depth algorithms for amplitude estimation (AE) achieving an optimal tradeoff between the quantum speedup and circuit depth.
Tudor Giurgica-Tiron, Iordanis Kerenidis, Farrokh Labib, Anupam Prakash, William Zeng   +4 more
doaj   +6 more sources

Bayesian Quantum Amplitude Estimation [PDF]

Quantum
We present BAE, a problem-tailored and noise-aware Bayesian algorithm for quantum amplitude estimation. In a fault tolerant scenario, BAE is capable of saturating the Heisenberg limit; if device noise is present, BAE can dynamically characterize it and ...
Alexandra Ramôa, Luis Paulo Santos
doaj   +5 more sources

Modified Grover operator for quantum amplitude estimation [PDF]

New Journal of Physics, 2021
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.
Shumpei Uno, Yohichi Suzuki, Keigo Hisanaga, Rudy Raymond, Tomoki Tanaka, Tamiya Onodera, Naoki Yamamoto   +6 more
doaj   +4 more sources

Harnessing Bayesian Statistics to Accelerate Iterative Quantum Amplitude Estimation [PDF]

Quantum
We establish a unified statistical framework that underscores the crucial role statistical inference plays in Quantum Amplitude Estimation (QAE), a task essential to fields ranging from chemistry to finance and machine learning.
Qilin Li, Atharva Vidwans, Yazhen Wang, Micheline B. Soley   +3 more
doaj   +5 more sources

Quantum amplitude estimation algorithms on IBM quantum devices [PDF]

Quantum Communications and Quantum Imaging XVIII, 2020
Since the publication of the Quantum Amplitude Estimation (QAE) algorithm by Brassard et al., 2002, several variations have been proposed, such as Aaronson et al., 2019, Grinko et al., 2019, and Suzuki et al., 2020.
Pooja Rao, Deokkyu Choi
exaly   +5 more sources

Carbon market risk estimation using quantum conditional generative adversarial network and amplitude estimation

Energy Conversion and Economics
Accurately and efficiently estimating the carbon market risk is paramount for ensuring financial stability, promoting environmental sustainability, and facilitating informed decision‐making.
Xiyuan Zhou, Huan Zhao, Yuji Cao, Xiang Fei, Gaoqi Liang, Junhua Zhao   +5 more
doaj   +3 more sources

Real quantum amplitude estimation [PDF]

EPJ Quantum Technology, 2022
We introduce the Real Quantum Amplitude Estimation (RQAE) algorithm, an extension of Quantum Amplitude Estimation (QAE) which is sensitive to the sign of the amplitude.
Alberto Manzano, Daniele Musso, Á. Leitao   +2 more
semanticscholar   +6 more sources