Methods and systems for estimating localization lengths in hybrid superconductor-semiconductor quantum devices
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Solution Overview
Problem
Existing methods for estimating localization lengths in hybrid superconductor-semiconductor quantum devices are corrupted by noise, making it difficult to accurately determine the statistical dependence of conductance on device length.
Innovation Solution
A method involving a statistical model with a joint prior distribution is used to enforce smoothness over gate voltages and extracted localization lengths, utilizing Bayesian Max a Posteriori (MAP) estimation to improve accuracy in estimating localization lengths, and characterizing disorder in these devices.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If conductance measurements are performed to estimate localization lengths, then localization length estimation is enabled, but measurement accuracy deteriorates due to noise corruption
Solution Approach 1:
The patent introduces a statistical model as an intermediary between the noisy conductance measurements and the localization length estimation. This model incorporates a joint prior distribution that enforces smoothness constraints, effectively mediating the relationship between the corrupted measurements and the desired parameter estimation, thereby filtering out noise while preserving the underlying physical relationships
Solution Approach 2:
The patent transforms the estimation problem by changing the parameter space from direct conductance values to a probabilistic framework with prior distributions. By enforcing smoothness on the function of gate voltages and localization lengths through the joint prior distribution, the method changes the parameters being optimized, allowing noise-resistant estimation through Bayesian inference
2Measurement precision
If standard conductance measurement methods are used, then simplicity of measurement is maintained, but estimation accuracy deteriorates due to noise
Solution Approach 1:
The patent creates a statistical copy or representation of the physical measurement system through the implicit statistical model. Instead of directly measuring localization lengths from noisy conductance data, the method creates a probabilistic copy of the measurement process that incorporates prior knowledge and smoothness constraints, allowing accurate estimation without directly confronting the noise in the raw measurements
Data Source
AI summary
Methods and systems for estimating localization lengths in hybrid superconductor-semiconductor quantum devices are described. A method for estimating localization lengths in a hybrid superconductor-semiconductor quantum device includes constructing a statistical model for extracting localization lengths based on an implicit description of nonlocal conductance measurements associated with a physical representation of the hybrid superconductor-semiconductor quantum device. The method further includes, using a processor, estimating the localization lengths in the hybrid superconductor-semiconductor quantum device by a joint prior distribution enforcing smoothness over a function of gate voltages and extracted localization lengths for the hybrid superconductor-semiconductor quantum device.