Energy Risk Analysis With Dynamic Amplitude Estimation and Piecewise Approximate Quantum Compiling

In this article, we generalize the approximate quantum compiling algorithm into a new method for <sc>cnot</sc>-depth reduction, which is apt to process wide target quantum circuits. Combining this method with state-of-the-art techniques for error mitigation and circuit compiling, we pres...

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Main Authors: Kumar Ghosh, Kavitha Yogaraj, Gabriele Agliardi, Piergiacomo Sabino, Fernandez-Campoamor Marina, Bernabe-Moreno Juan, Giorgio Cortiana, Omar Shehab, Corey O'Meara
Format: Article
Language:English
Published: IEEE 2024-01-01
Series:IEEE Transactions on Quantum Engineering
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Online Access:https://ieeexplore.ieee.org/document/10592808/
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author Kumar Ghosh
Kavitha Yogaraj
Gabriele Agliardi
Piergiacomo Sabino
Fernandez-Campoamor Marina
Bernabe-Moreno Juan
Giorgio Cortiana
Omar Shehab
Corey O'Meara
author_facet Kumar Ghosh
Kavitha Yogaraj
Gabriele Agliardi
Piergiacomo Sabino
Fernandez-Campoamor Marina
Bernabe-Moreno Juan
Giorgio Cortiana
Omar Shehab
Corey O'Meara
author_sort Kumar Ghosh
collection DOAJ
description In this article, we generalize the approximate quantum compiling algorithm into a new method for <sc>cnot</sc>-depth reduction, which is apt to process wide target quantum circuits. Combining this method with state-of-the-art techniques for error mitigation and circuit compiling, we present a ten-qubit experimental demonstration of iterative amplitude estimation on a quantum computer. The target application is a derivation of the expected value of contract portfolios in the energy industry. In parallel, we also introduce a new variant of the quantum amplitude estimation algorithm, which we call dynamic amplitude estimation, as it is based on the dynamic circuit capability of quantum devices. The algorithm achieves a reduction in the circuit width in the order of the binary precision compared to the typical implementation of quantum amplitude estimation, while simultaneously decreasing the number of quantum&#x2013;classical iterations (again in the order of the binary precision) compared to the iterative amplitude estimation. The calculation of the expected value, value at risk, and conditional value at risk of contract portfolios on quantum hardware provides a proof of principle of the new algorithm.
format Article
id doaj-art-05d766722e554080a3d4c8236e20bd82
institution Kabale University
issn 2689-1808
language English
publishDate 2024-01-01
publisher IEEE
record_format Article
series IEEE Transactions on Quantum Engineering
spelling doaj-art-05d766722e554080a3d4c8236e20bd822025-01-25T00:03:45ZengIEEEIEEE Transactions on Quantum Engineering2689-18082024-01-01511710.1109/TQE.2024.342596910592808Energy Risk Analysis With Dynamic Amplitude Estimation and Piecewise Approximate Quantum CompilingKumar Ghosh0https://orcid.org/0000-0002-4628-6951Kavitha Yogaraj1Gabriele Agliardi2https://orcid.org/0000-0002-1692-9047Piergiacomo Sabino3https://orcid.org/0000-0003-2072-2353Fernandez-Campoamor Marina4Bernabe-Moreno Juan5Giorgio Cortiana6https://orcid.org/0000-0001-8745-5021Omar Shehab7https://orcid.org/0000-0002-1689-6046Corey O'Meara8https://orcid.org/0000-0001-7056-7545E.ON Digital Technology GmbH, Essen, GermanyIBM Quantum, IBM Research, Bangalore, IndiaIBM Quantum, IBM Research, Segrate, ItalyE.ON SE, Essen, GermanyE.ON Digital Technology GmbH, Essen, GermanyIBM Research Europe, Dublin, IrelandE.ON Digital Technology GmbH, Essen, GermanyIBM Quantum, IBM Thomas J. Watson Research Center, Yorktown Heights, NY, USAE.ON Digital Technology GmbH, Essen, GermanyIn this article, we generalize the approximate quantum compiling algorithm into a new method for <sc>cnot</sc>-depth reduction, which is apt to process wide target quantum circuits. Combining this method with state-of-the-art techniques for error mitigation and circuit compiling, we present a ten-qubit experimental demonstration of iterative amplitude estimation on a quantum computer. The target application is a derivation of the expected value of contract portfolios in the energy industry. In parallel, we also introduce a new variant of the quantum amplitude estimation algorithm, which we call dynamic amplitude estimation, as it is based on the dynamic circuit capability of quantum devices. The algorithm achieves a reduction in the circuit width in the order of the binary precision compared to the typical implementation of quantum amplitude estimation, while simultaneously decreasing the number of quantum&#x2013;classical iterations (again in the order of the binary precision) compared to the iterative amplitude estimation. The calculation of the expected value, value at risk, and conditional value at risk of contract portfolios on quantum hardware provides a proof of principle of the new algorithm.https://ieeexplore.ieee.org/document/10592808/Approximate quantum compiling (AQC)dynamic circuitserror mitigationquantum amplitude estimation (QAE)quantum computingrisk analysis
spellingShingle Kumar Ghosh
Kavitha Yogaraj
Gabriele Agliardi
Piergiacomo Sabino
Fernandez-Campoamor Marina
Bernabe-Moreno Juan
Giorgio Cortiana
Omar Shehab
Corey O'Meara
Energy Risk Analysis With Dynamic Amplitude Estimation and Piecewise Approximate Quantum Compiling
IEEE Transactions on Quantum Engineering
Approximate quantum compiling (AQC)
dynamic circuits
error mitigation
quantum amplitude estimation (QAE)
quantum computing
risk analysis
title Energy Risk Analysis With Dynamic Amplitude Estimation and Piecewise Approximate Quantum Compiling
title_full Energy Risk Analysis With Dynamic Amplitude Estimation and Piecewise Approximate Quantum Compiling
title_fullStr Energy Risk Analysis With Dynamic Amplitude Estimation and Piecewise Approximate Quantum Compiling
title_full_unstemmed Energy Risk Analysis With Dynamic Amplitude Estimation and Piecewise Approximate Quantum Compiling
title_short Energy Risk Analysis With Dynamic Amplitude Estimation and Piecewise Approximate Quantum Compiling
title_sort energy risk analysis with dynamic amplitude estimation and piecewise approximate quantum compiling
topic Approximate quantum compiling (AQC)
dynamic circuits
error mitigation
quantum amplitude estimation (QAE)
quantum computing
risk analysis
url https://ieeexplore.ieee.org/document/10592808/
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