Analysis of Frequency Collisions in Parametrically Modulated Superconducting Circuits

Fuente: arXiv
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Main Authors: Ma, Zhuang, Zhao, Peng, Tan, Xinsheng, Yu, Yang
Format: Preprint
Published: 2025
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author Ma, Zhuang
Zhao, Peng
Tan, Xinsheng
Yu, Yang
author_facet Ma, Zhuang
Zhao, Peng
Tan, Xinsheng
Yu, Yang
contents Superconducting circuits are a leading platform for scalable quantum computing, where parametric modulation is a widely used technique for implementing high-fidelity multi-qubit operations. A critical challenge, however, is that this modulation can induce a dense landscape of parasitic couplings, leading to detrimental frequency collisions that constrain processor performance. In this work, we develop a comprehensive numerical framework, grounded in Floquet theory, to systematically analyze and mitigate these collisions. Our approach integrates this numerical analysis with newly derived analytical models for both qubit-modulated and coupler-modulated schemes, allowing us to characterize the complete map of parasitic sideband interactions and their distinct error budgets. This analysis forms the basis of a constraint-based optimization methodology designed to identify parameter configurations that satisfy the derived physical constraints, thereby avoiding detrimental parasitic interactions. We illustrate the utility of this framework with applications to analog quantum simulation and gate design. Our work provides a predictive tool for co-engineering device parameters and control protocols, enabling the systematic suppression of crosstalk and paving the way for large-scale, high-performance quantum processors.
format Preprint
id arxiv_https___arxiv_org_abs_2511_05031
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Analysis of Frequency Collisions in Parametrically Modulated Superconducting Circuits
Ma, Zhuang
Zhao, Peng
Tan, Xinsheng
Yu, Yang
Quantum Physics
Superconducting circuits are a leading platform for scalable quantum computing, where parametric modulation is a widely used technique for implementing high-fidelity multi-qubit operations. A critical challenge, however, is that this modulation can induce a dense landscape of parasitic couplings, leading to detrimental frequency collisions that constrain processor performance. In this work, we develop a comprehensive numerical framework, grounded in Floquet theory, to systematically analyze and mitigate these collisions. Our approach integrates this numerical analysis with newly derived analytical models for both qubit-modulated and coupler-modulated schemes, allowing us to characterize the complete map of parasitic sideband interactions and their distinct error budgets. This analysis forms the basis of a constraint-based optimization methodology designed to identify parameter configurations that satisfy the derived physical constraints, thereby avoiding detrimental parasitic interactions. We illustrate the utility of this framework with applications to analog quantum simulation and gate design. Our work provides a predictive tool for co-engineering device parameters and control protocols, enabling the systematic suppression of crosstalk and paving the way for large-scale, high-performance quantum processors.
title Analysis of Frequency Collisions in Parametrically Modulated Superconducting Circuits
topic Quantum Physics
url https://arxiv.org/abs/2511.05031