Graph-Based Qubit Positioning With Average Edge Values
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Solution Overview
Problem
Existing quantum computing methods face challenges in efficiently determining qubit positions for graph-based problems, particularly in irregularly spaced nodes, leading to high memory usage and computational burden due to the need for detailed qubit-qubit distance calculations and large datasets, especially in systems like amorphous solids.
Innovation Solution
A method for determining qubit positions using average edge values from a graph, allowing for reduced memory storage and computational efficiency by minimizing the need for separate calculations and data storage, applicable to both quantum computers and classical emulators.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If detailed qubit-qubit distance calculations are performed for each qubit pair, then positioning accuracy is improved, but memory usage and computational burden increase
Solution Approach 1:
The patent changes the parameter representation from individual qubit positions to a graph structure with vertices and edges. Instead of storing and calculating precise coordinates for each qubit, the system uses graph edges to represent qubit connections and their interaction strengths, fundamentally changing how positioning information is stored and processed
Solution Approach 2:
The patent creates an abstract graph representation that copies the essential topological and interaction information of the quantum system without replicating the full geometric detail. The graph serves as a simplified model that preserves necessary relationships while eliminating redundant positional data
2Measurement precision
If complete graph data with all edge values is stored, then calculation accuracy is improved, but memory storage requirements increase
Solution Approach 1:
The patent extracts only the essential interaction information needed for quantum calculations from the complete geometric description. By separating the graph structure (vertices and edges) from detailed positional data, the system retains only the necessary edge values that represent qubit interactions, discarding redundant information
Solution Approach 2:
The patent applies different levels of detail to different parts of the system representation. The graph structure maintains precise edge values for interacting qubit pairs while using coarser representations for non-interacting or weakly interacting pairs, optimizing the balance between accuracy and storage
3Manufacturing precision
If separate calculations are performed for each qubit pair, then calculation precision is improved, but computational time increases
Solution Approach 1:
The patent merges individual qubit pair calculations into a unified graph-based computation framework. By representing all qubit interactions as edges in a single graph structure, the system can process multiple relationships simultaneously through graph algorithms rather than performing separate calculations for each pair
Solution Approach 2:
The graph data structure serves multiple functions simultaneously: it stores connectivity information, represents interaction strengths, enables spatial reasoning, and facilitates quantum algorithm execution. This multi-functionality eliminates the need for separate data structures and calculations for each purpose
Data Source
Figure 1a~1b
Figure 2
Figure 3a~3c
AI summary
A computer implemented method for determining a plurality of spatial positions for a plurality of qubits. The plurality of qubits associated with a graph with a plurality of vertices and edges. No underlying lattice is used for defining vertex positions. The method determines a first spatial position based on a first distance between a first pair of the qubits. The first distance is based on an average value of a parameter associated with the plurality edges. The method determines a second spatial position based on a second distance between a second pair of the qubits. The second distance based on the average value. The first pair of the qubits comprising at least one different qubit to the second pair of the qubits. The second spatial position being a different spatial position to the first spatial position.