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Volume 24
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Article

Digital Quantum Simulation and Circuit Learning for the Generation of Coherent States

by
Ruilin Liu
1,
Sebastián V. Romero
2,
Izaskun Oregi
2,3,
Eneko Osaba
2,
Esther Villar-Rodriguez
2 and
Yue Ban
2,*
1
School of Materials Science and Engineering, Shanghai University, Shanghai 200444, China
2
TECNALIA, Basque Research and Technology Alliance (BRTA), 48160 Derio, Spain
3
Faculty of New Interactive Technologies, Universidad EUNEIZ, 01013 Vitoria-Gasteiz, Spain
*
Author to whom correspondence should be addressed.
Entropy 2022, 24(11), 1529; https://doi.org/10.3390/e24111529
Submission received: 28 September 2022 / Revised: 20 October 2022 / Accepted: 21 October 2022 / Published: 25 October 2022
(This article belongs to the Special Issue Quantum Control and Quantum Computing)
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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.
Keywords: digital quantum simulation; quantum circuit learning; coherent state digital quantum simulation; quantum circuit learning; coherent state

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MDPI and ACS Style

Liu, R.; V. Romero, S.; Oregi, I.; Osaba, E.; Villar-Rodriguez, E.; Ban, Y. Digital Quantum Simulation and Circuit Learning for the Generation of Coherent States. Entropy 2022, 24, 1529. https://doi.org/10.3390/e24111529

AMA Style

Liu R, V. Romero S, Oregi I, Osaba E, Villar-Rodriguez E, Ban Y. Digital Quantum Simulation and Circuit Learning for the Generation of Coherent States. Entropy. 2022; 24(11):1529. https://doi.org/10.3390/e24111529

Chicago/Turabian Style

Liu, Ruilin, Sebastián V. Romero, Izaskun Oregi, Eneko Osaba, Esther Villar-Rodriguez, and Yue Ban. 2022. "Digital Quantum Simulation and Circuit Learning for the Generation of Coherent States" Entropy 24, no. 11: 1529. https://doi.org/10.3390/e24111529

APA Style

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, 24(11), 1529. https://doi.org/10.3390/e24111529

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