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Iterative quantum amplitude estimation [PDF]
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 +3 more
doaj +4 more sources
Gradient Estimator-Based Amplitude Estimation for Dynamic Mode Atomic Force Microscopy: Small-Signal Modeling and Tuning [PDF]
Atomic force microscopy (AFM) plays an important role in nanoscale imaging application. AFM works by oscillating a microcantilever on the surface of the sample being scanned.
Hafiz Ahmed, Mohamed Benbouzid
doaj +2 more sources
Variational quantum amplitude estimation [PDF]
We propose to perform amplitude estimation with the help of constant-depth quantum circuits that variationally approximate states during amplitude amplification.
Kirill Plekhanov +3 more
doaj +3 more sources
Noise tailoring for robust amplitude estimation
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
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Bayesian Quantum Amplitude Estimation [PDF]
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 +3 more sources
Quantum Amplitude Amplification and Estimation [PDF]
Consider a Boolean function $\chi: X \to \{0,1\}$ that partitions set $X$ between its good and bad elements, where $x$ is good if $\chi(x)=1$ and bad otherwise. Consider also a quantum algorithm $\mathcal A$ such that $A |0\rangle= \sum_{x\in X} \alpha_x
Brassard, Gilles +3 more
core +8 more sources
Noise-Aware Quantum Amplitude Estimation
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 +3 more
doaj +3 more sources
Modified Grover operator for quantum amplitude estimation
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 +6 more
doaj +3 more sources
Iterative Amplitude Equalization for Frequency Estimation (IAE-DFT) [PDF]
The accurate frequency estimation of sinusoidal signals remains a key requirement in precision instrumentation and signal analysis, particularly in applications where noise and spectral leakage affect the measurement accuracy. This paper introduces a new
Elena Serea +2 more
doaj +2 more sources
Multitaper estimates of phase-amplitude coupling [PDF]
AbstractPhase-amplitude coupling (PAC) is the association of the amplitude of a high-frequency oscillation with the phase of a low-frequency oscillation. In neuroscience, this relationship provides a mechanism by which neural activity might be coordinated between distant regions.
Kyle Q Lepage +3 more
openaire +2 more sources

