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Article

Comparison of Lumped Oscillator Model and Energy Participation Ratio Methods in Designing Two-Dimensional Superconducting Quantum Chips

State Key Laboratory of Mathematical Engineering and Advanced Computing, Zhengzhou 450001, China
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Entropy 2022, 24(6), 792; https://doi.org/10.3390/e24060792
Submission received: 10 May 2022 / Revised: 27 May 2022 / Accepted: 5 June 2022 / Published: 7 June 2022
(This article belongs to the Topic Quantum Information and Quantum Computing)

Abstract

Over the past two decades, superconducting quantum circuits have become one of the essential platforms for realizing quantum computers. The Hamiltonian of a superconducting quantum circuit system is the key to describing the dynamic evolution of the system. For this reason, various methods for analyzing the Hamiltonian of a superconducting quantum circuit system have been proposed, among which the LOM (Lumped Oscillator Model) and the EPR (Energy Participation Ratio) methods are the most popular ones. To analyze and improve the design methods of superconducting quantum chips, this paper compares the similarities and differences of the LOM and the EPR quantification methods. We verify the applicability of these two theoretical approaches to the design of 2D transmon quantum chips. By comparing the theoretically simulated results and the experimentally measured data at extremely low temperature, the errors between the theoretical calculation and observed measurement values of the two methods were summarized. Results show that the LOM method has more parameter outputs in data diversity and the qubit frequency calculation in LOM is more accurate. The reason is that in LOM more coupling between different systems are taken into consideration. These analyses would have reference significance for the design of superconducting quantum chips.
Keywords: circuit quantization methods; superconducting quantum chips; circuit quantum electrodynamics; quantum information circuit quantization methods; superconducting quantum chips; circuit quantum electrodynamics; quantum information

Share and Cite

MDPI and ACS Style

Yuan, B.; Wang, W.; Liu, F.; He, H.; Shan, Z. Comparison of Lumped Oscillator Model and Energy Participation Ratio Methods in Designing Two-Dimensional Superconducting Quantum Chips. Entropy 2022, 24, 792. https://doi.org/10.3390/e24060792

AMA Style

Yuan B, Wang W, Liu F, He H, Shan Z. Comparison of Lumped Oscillator Model and Energy Participation Ratio Methods in Designing Two-Dimensional Superconducting Quantum Chips. Entropy. 2022; 24(6):792. https://doi.org/10.3390/e24060792

Chicago/Turabian Style

Yuan, Benzheng, Weilong Wang, Fudong Liu, Haoran He, and Zheng Shan. 2022. "Comparison of Lumped Oscillator Model and Energy Participation Ratio Methods in Designing Two-Dimensional Superconducting Quantum Chips" Entropy 24, no. 6: 792. https://doi.org/10.3390/e24060792

APA Style

Yuan, B., Wang, W., Liu, F., He, H., & Shan, Z. (2022). Comparison of Lumped Oscillator Model and Energy Participation Ratio Methods in Designing Two-Dimensional Superconducting Quantum Chips. Entropy, 24(6), 792. https://doi.org/10.3390/e24060792

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