Superconducting Qubit Surface Participation Analysis via Boundary Element Method
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Solution Overview
Problem
Conventional surface participation analysis of superconducting qubits is challenging due to disparities in length scales and electric field divergence at metal edges and corners, leading to inaccurate computations and high computational requirements.
Innovation Solution
The implementation of a system that uses the boundary element method to discretize conductor-dielectric and dielectric-dielectric interfaces into panels, allowing for accurate computation of energy storage, charge density, and electric fields without assuming constant power exponents, thereby reducing computational burdens and increasing analysis accuracy.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If conventional techniques are used to perform surface participation analysis by simulating fields on dummy surfaces and extrapolating to qubit metallization surfaces, then the analysis can be performed with simpler methods, but the accuracy is reduced due to electric field divergence at metal edges and corners and the need to assume constant power exponents
Solution Approach 1:
The qubit metallization surfaces are divided into multiple discrete panels, allowing the electric field to be computed at each panel independently. This segmentation enables accurate handling of edge and corner regions where field divergence occurs, as each panel can be treated with appropriate boundary conditions without requiring extrapolation from dummy surfaces.
Solution Approach 2:
The boundary element method introduces an integral equation formulation as an intermediary between the physical problem and the numerical solution. This formulation using Green's functions and boundary integrals naturally handles the singularity issues at metal edges and corners, converting the differential equation problem into an integral equation that is more amenable to accurate numerical evaluation at boundaries.
2Productivity
If conventional techniques simulate fields on dummy surfaces and extrapolate to qubit metallization surfaces, then computational requirements are reduced, but the method becomes cumbersome requiring sweeping of dummy surfaces for each interface
Solution Approach 1:
The boundary element method formulation automatically handles the computation at the actual qubit metallization surfaces without requiring external dummy surfaces. The integral equations are solved directly on the boundaries of interest, making the method self-sufficient and eliminating the need for cumbersome sweeping procedures across multiple dummy surfaces for each interface.
3Manufacturing precision
If the thickness of amorphous layers is only a couple of nanometers, then the interface effects are localized, but numerical accuracy becomes challenging due to disparity of length scales between layer thickness and qubit feature sizes
Solution Approach 1:
The boundary element method formulates the problem in terms of surface integrals rather than volume integrals, effectively moving from a 3D volume problem to a 2D surface problem. This dimensional reduction is particularly advantageous for thin amorphous layers, as the computation naturally focuses on the interface surfaces where the physics occurs, avoiding the need to resolve the full 3D volume with extremely fine meshing in the thickness direction.
Data Source
AI summary
Techniques regarding an autonomous surface participation analysis of one or more superconducting qubits using the boundary element method are provided. For example, one or more embodiments described herein can comprise a system, which can comprise a memory that can store computer executable components. The system can also comprise a processor, operably coupled to the memory, and that can execute the computer executable components stored in the memory. The computer executable components can comprise a simulation component, operatively coupled to the processor, that can analyze a surface participation of a superconducting qubit by discretizing a conductor-dielectric interface and a dielectric-dielectric interface into a plurality of panels.