Quantum Computing Model Discretization with Consistent Boundaries

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Solution Overview

Problem

Computer simulations of quantum computing devices face inaccuracies due to inconsistent boundary treatments between components at different resolution levels, leading to unphysical results when solving differential equations.

Innovation Solution

A computing device generates a first discretized model of a quantum computing device with estimated boundaries for each component, and a second discretized model for a focus region with finer resolution, ensuring consistent boundary definitions across differential equations, thereby preventing artifacts.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Use of energy by moving object

If a first discretized model with lower resolution is used for the entire quantum computing device, then computational resources are saved, but boundary inconsistencies and unphysical artifacts occur at component interfaces

Engineering Contradiction:

Improvecomputational resourcesVSAvoidsimulation accuracy

Core Design Contradiction:

Use of energy by moving objectVSReliability

Solution Approach 1:

The quantum computing device model is segmented into multiple regions with different discretization resolutions. A first discretized model with lower resolution is applied to non-focus regions, while a second discretized model with higher resolution is applied to the focus region. This segmentation allows computational resources to be concentrated where they are most needed while maintaining overall simulation efficiency.

Inventive Principle:

Principle #1Segmentation

Solution Approach 2:

Different discretization resolutions are applied to different spatial regions of the quantum computing device based on their importance. The focus region receives higher resolution treatment to capture local boundary details accurately, while other regions use lower resolution to conserve computational resources. This local quality approach ensures simulation accuracy where it matters most without unnecessarily consuming resources across the entire device.

Inventive Principle:

Principle #3Local quality

2Measurement precision

If a second discretized model with finer resolution is used for the focus region, then boundary accuracy is improved, but computational complexity increases

Engineering Contradiction:

Improveboundary accuracyVSAvoidcomputational complexity

Core Design Contradiction:

Measurement precisionVSDevice complexity

Solution Approach 1:

The computational domain is divided into a focus region requiring high resolution and non-focus regions that can use lower resolution. This segmentation allows the second discretized model with finer resolution to be applied only to the focus region, improving boundary accuracy locally while avoiding the computational complexity of applying fine resolution to the entire device.

Inventive Principle:

Principle #1Segmentation

Solution Approach 2:

High resolution discretization is applied locally to the focus region where boundary accuracy is critical, while lower resolution is used in other regions. This local quality approach improves measurement precision for the focus region without proportionally increasing overall computational complexity, as the majority of the device uses the coarser first discretized model.

Inventive Principle:

Principle #3Local quality

3Device complexity

If inconsistent boundary definitions are used across different discretized models, then device complexity is reduced, but unphysical artifacts and simulation errors occur

Engineering Contradiction:

Improvemodel consistencyVSAvoidsimulation reliability

Core Design Contradiction:

Device complexityVSReliability

Solution Approach 1:

The patent introduces an intermediary boundary definition mechanism that mediates between the first and second discretized models. Estimated boundaries from the first discretized model are used as intermediaries to define the focus region for the second discretized model, ensuring consistent boundary definitions across different resolution levels and preventing unphysical artifacts at interfaces.

Inventive Principle:

Principle #24Intermediary (Mediator)

Solution Approach 2:

The boundary definition approach is made universal by using estimated boundaries from the first discretized model to consistently define regions across both discretization levels. This multi-functional boundary definition method serves both the lower resolution first discretized model and the higher resolution second discretized model, ensuring reliability without requiring separate complex boundary management systems.

Inventive Principle:

Principle #6Universality (Multi-functionality)

Data Source

PatentUS11551130B2Quantum computing device model discretization

Publication Date: 2023.01.10 MICROSOFT TECHNOLOGY LICENSING LLC

AI summary

A computing device including memory storing a quantum computing device model. The quantum computing device model may include a plurality of quantum computing device components having a respective plurality of actual boundaries. The computing device may further include a processor configured to generate a first discretized model of the quantum computing device model. The first discretized model may indicate a respective estimated boundary for each quantum computing device component. The processor may be further configured to solve a first differential equation discretized with the first discretized model. The processor may be further configured to generate a second discretized model of a focus region of the quantum computing device model. In the second discretized model, the focus region may have the estimated boundary computed for the focus region in the first discretized model. The processor may be further configured to solve a second differential equation discretized with the second discretized model.