Results 21 to 30 of about 3,047,990 (260)
General noise-resilient quantum amplitude estimation
, 2023 Quantum advantage requires overcoming noise-induced degradation of quantum systems. Conventional methods for reducing noise such as error mitigation face scalability issues in deep circuits. Specifically, noise hampers the extraction of amplitude and observable information from quantum systems.
Ding, Yonglong, Yang, Ruyu
openaire +3 more sources
Quantum probability oracles & multidimensional amplitude estimation [PDF]
, 2021 We give a multidimensional version of amplitude estimation. Let p be an n-dimensional probability distribution which can be sampled from using a quantum circuit U_p. We show that all coordinates of p can be estimated up to error ε per coordinate using Õ(1/(ε)) applications of U_p and its inverse.
Apeldoorn, J.T.S. (Joran) van +1 more
openaire +3 more sources
Quantum Monte Carlo Integration: The Full Advantage in Minimal Circuit Depth [PDF]
Quantum, 2022 This paper proposes a method of quantum Monte Carlo integration that retains the full quadratic quantum advantage, without requiring any arithmetic or quantum phase estimation to be performed on the quantum computer.
Steven Herbert
doaj +1 more source
Option Pricing using Quantum Computers [PDF]
Quantum, 2020 We present a methodology to price options and portfolios of options on a gate-based quantum computer using amplitude estimation, an algorithm which provides a quadratic speedup compared to classical Monte Carlo methods.
Nikitas Stamatopoulos +6 more
doaj +1 more source
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
doaj +1 more source
Noise tailoring for robust amplitude estimation
New Journal of Physics, 2023 A universal fault-tolerant quantum computer holds the promise to speed up computational problems that are otherwise intractable on classical computers; however, for the next decade or so, our access is restricted to noisy intermediate-scale quantum (NISQ)
Archismita Dalal, Amara Katabarwa
doaj +1 more source
Towards Quantum Advantage in Financial Market Risk using Quantum Gradient Algorithms [PDF]
Quantum, 2022 We introduce a quantum algorithm to compute the market risk of financial derivatives. Previous work has shown that quantum amplitude estimation can accelerate derivative pricing quadratically in the target error and we extend this to a quadratic error ...
Nikitas Stamatopoulos +3 more
doaj +1 more source
Topics in estimation of quantum channels [PDF]
, 2010 A quantum channel is a mapping which sends density matrices to density matrices. The estimation of quantum channels is of great importance to the field of quantum information.
O'Loan, Caleb J.
core +2 more sources
A Hybrid Quantum Image-Matching Algorithm
Entropy, 2022 Image matching is an important research topic in computer vision and image processing. However, existing quantum algorithms mainly focus on accurate matching between template pixels, and are not robust to changes in image location and scale. In addition,
Guoqiang Shu +4 more
doaj +1 more source
Quantum algorithm for credit valuation adjustments
New Journal of Physics, 2022 Quantum mechanics is well known to accelerate statistical sampling processes over classical techniques. In quantitative finance, statistical samplings arise broadly in many use cases.
Javier Alcazar +6 more
doaj +1 more source