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The Prospect of Quantum Amplitude Estimation Based on the Development of the Quantum Volume
Version 1
: Received: 31 October 2023 / Approved: 31 October 2023 / Online: 31 October 2023 (10:45:54 CET)
How to cite: Hoek, C.; Jong, J. D. The Prospect of Quantum Amplitude Estimation Based on the Development of the Quantum Volume. Preprints 2023, 2023102077. https://doi.org/10.20944/preprints202310.2077.v1 Hoek, C.; Jong, J. D. The Prospect of Quantum Amplitude Estimation Based on the Development of the Quantum Volume. Preprints 2023, 2023102077. https://doi.org/10.20944/preprints202310.2077.v1
Abstract
Quantum amplitude estimation is a numerical integration technique and a candidate for the first operationally used quantum algorithm providing a quantum advantage in the NISQ era. Its main metric is the generated Fisher information per second, as it describes the accuracy of the numerical integration. The development of this metric can be coupled to the quantum volume of the used quantum processor with a phenomenological noise model. Since the increase of the quantum volume seems to follow an exponential pattern, insight in the integration power of quantum amplitude estimation for the upcoming years can be obtained. This shows that quantum amplitude estimation as a numerical integration technique will not provide an advantage for functions without significant improvements to the connectivity, reliability and speed of quantum processors. Beyond that, this method may be used the estimate the development of many more NISQ era algorithms.
Keywords
Quantum Amplitude Estimation; Quantum Volume; Noisy quantum algorithms
Subject
Computer Science and Mathematics, Other
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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