Results 11 to 20 of about 3,047,990 (260)
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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Low-depth amplitude estimation on a trapped-ion quantum computer
Physical Review Research, 2022 Amplitude estimation (AE) is a fundamental quantum algorithmic primitive that enables quantum computers to achieve quadratic speedups for a large class of statistical estimation problems, including Monte Carlo methods.
Tudor Giurgica-Tiron +8 more
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Random-depth Quantum Amplitude Estimation [PDF]
, 2023 The maximum likelihood amplitude estimation algorithm (MLAE) is a practical solution to the quantum amplitude estimation problem with Heisenberg limit error convergence. We improve MLAE by using random depths to avoid the so-called critical points, and do numerical experiments to show that our algorithm is approximately unbiased compared to the ...
Lu, Xi, Lin, Hongwei
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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 ...
Naoki Yamamoto +2 more
exaly +3 more sources
Error Resilient Quantum Amplitude Estimation from Parallel Quantum Phase Estimation [PDF]
, 2022 We show how phase and amplitude estimation algorithms can be parallelized. This can reduce the gate depth of the quantum circuits to that of a single Grover operator with a small overhead. Further, we show that for quantum amplitude estimation, the parallelization can lead to vast improvements in resilience against quantum errors. The resilience is not
Braun, M. C. +3 more
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Quantum Amplitude Estimation for Probabilistic Methods in Power Systems
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. Monte Carlo simulations is a fundamental method, widely used in power systems to estimate key parameters of unknown probability distributions, such as the mean value, the
Emilie Jong +3 more
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Energy Risk Analysis With Dynamic Amplitude Estimation and Piecewise Approximate Quantum Compiling
IEEE Transactions on Quantum EngineeringIn this article, we generalize the approximate quantum compiling algorithm into a new method for cnot-depth reduction, which is apt to process wide target quantum circuits.
Kumar Ghosh +8 more
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Energy Conversion and EconomicsAccurately and efficiently estimating the carbon market risk is paramount for ensuring financial stability, promoting environmental sustainability, and facilitating informed decision‐making.
Xiyuan Zhou +5 more
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Adaptive Algorithm for Quantum Amplitude Estimation [PDF]
, 2022 Quantum amplitude estimation is a key sub-routine of a number of quantum algorithms with various applications. We propose an adaptive algorithm for interval estimation of amplitudes. The quantum part of the algorithm is based only on Grover's algorithm.
Zhao, Yunpeng +5 more
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On the bias in iterative quantum amplitude estimation [PDF]
EPJ Quantum TechnologyAbstractQuantum amplitude estimation (QAE) is a pivotal quantum algorithm to estimate the squared amplitude a of the target basis state in a quantum state $|{\Phi}\rangle $ | Φ 〉 . Various improvements on the original quantum phase estimation-based QAE have been proposed for resource
Miyamoto, Koichi
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