Digital Quantum Simulation and Circuit Learning for the Generation of Coherent States
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2022-10-25
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Abstract
Coherent states, known as displaced vacuum states, play an important role in quantum information processing, quantum machine learning, and quantum optics. In this article, two ways to digitally prepare coherent states in quantum circuits are introduced. First, we construct the displacement operator by decomposing it into Pauli matrices via ladder operators, i.e., creation and annihilation operators. The high fidelity of the digitally generated coherent states is verified compared with the Poissonian distribution in Fock space. Secondly, by using Variational Quantum Algorithms, we choose different ansatzes to generate coherent states. The quantum resources—such as numbers of quantum gates, layers and iterations—are analyzed for quantum circuit learning. The simulation results show that quantum circuit learning can provide high fidelity on learning coherent states by choosing appropriate ansatzes.
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Publisher Copyright: © 2022 by the authors.
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Digital quantum simulation , Quantum circuit learning , Coherent state , Digital quantum simulation , Quantum circuit learning , Coherent state , Information Systems , Mathematical Physics , Physics and Astronomy (miscellaneous) , Electrical and Electronic Engineering , Funding Info , This research is funded by the QUANTEK project (ELKARTEK program from the Basque Government, expedient No. KK-2021/00070), the project “BRTA QUANTUM: Hacia una especialización armonizada en tecnologías cuánticas en BRTA” (expedient No. KK-2022/00041). , This research is funded by the QUANTEK project (ELKARTEK program from the Basque Government, expedient No. KK-2021/00070), the project “BRTA QUANTUM: Hacia una especialización armonizada en tecnologías cuánticas en BRTA” (expedient No. KK-2022/00041).
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Liu , R , V. Romero , S , Oregi , I , Osaba , E , Villar-Rodriguez , E & Ban , Y 2022 , ' Digital Quantum Simulation and Circuit Learning for the Generation of Coherent States ' , Entropy , vol. 24 , no. 11 , 1529 , pp. 1529 . https://doi.org/10.3390/e24111529