Quantum Topology Graph Optimization for 2D Chip Connectivity
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Solution Overview
Problem
Existing quantum chips with a two-dimensional structure face challenges in implementing complex quantum algorithms due to crossed connecting lines and excessive connectivity between qubits, leading to high algorithm depth and reduced accuracy.
Innovation Solution
A method for optimizing quantum topology graphs by removing crossed connecting lines and optimizing nodes with excessive connectivity, involving the determination of intermediate nodes, retention of specific connecting lines, and assignment of connecting lines to child nodes to reduce connectivity within the optimized quantum topology graph.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Power
If quantum algorithms with complex operations are compiled onto two-dimensional quantum chips, then the parallel computing capability is enhanced, but crossed connecting lines and excessive connectivity between qubits occur, leading to high algorithm depth
Solution Approach 1:
The patent segments the quantum topology graph by introducing intermediate nodes to break crossed connecting lines into separate paths. Each intermediate node divides the connection into multiple segments that can be routed without crossing, transforming the complex high-depth algorithm into a series of simpler, non-crossing operations that can execute in parallel on the two-dimensional quantum chip
Solution Approach 2:
The patent resolves crossed connecting lines by utilizing the temporal dimension through intermediate nodes. Instead of trying to route connections spatially without crossing on the two-dimensional chip, the system introduces intermediate time steps where qubits swap positions, effectively moving connections from the spatial plane to the time dimension to eliminate crossings and reduce algorithm depth
2Ease of operation
If crossed connecting lines are present in the quantum topology graph, then more direct qubit logic gates can be implemented, but the coupling structures cannot be crossed in the two-dimensional quantum chip structure
Solution Approach 1:
The patent introduces intermediate nodes as mediator elements between qubits that need to perform logic gates. These intermediate nodes act as temporary placeholders that enable qubits to interact indirectly through a sequence of operations, allowing the system to implement qubit logic gates without requiring direct crossed physical connections on the quantum chip
Solution Approach 2:
The patent performs preliminary actions by pre-computing and optimizing the quantum topology graph before execution on the quantum chip. The system identifies and resolves crossed connecting lines in advance by introducing intermediate nodes and re-routing connections, so that when the algorithm executes on the two-dimensional chip, the coupling structures can be implemented without crossings
3Productivity
If one qubit couples with too many neighboring qubits, then more operations can be performed, but the regulation of the qubit and quantum computation accuracy are significantly reduced
Solution Approach 1:
The patent segments the connectivity of highly connected qubits by introducing intermediate nodes that distribute the connections. Instead of one qubit directly coupling with many neighboring qubits, the system introduces intermediate qubits that share the connections, reducing the direct connectivity degree of each qubit while maintaining the overall operational capability
Solution Approach 2:
The patent applies local quality optimization by strategically placing intermediate nodes at specific locations in the quantum topology graph where connectivity is excessive. This localized intervention reduces the coupling degree of specific problematic qubits without affecting the overall structure, thereby maintaining quantum computation accuracy while preserving operational productivity
Data Source
AI summary
Disclosed are a quantum topology graph optimization method, apparatus, terminal and storage medium, comprising: obtaining a first quantum topology graph of a target quantum algorithm, determining an intermediate node in the first quantum topology graph, and removing connecting lines between other graph nodes other than the intermediate node so as to obtain a second quantum topology graph without the crossed connecting lines; if not, updating the first quantum topology graph to a third quantum topology graph; determining an optimized sub-graph corresponding to one node to be optimized and composed of N child nodes connected by connecting lines according to a preset way, assigning connecting lines between non-optimized nodes and each child node so as to obtain a fourth quantum topology graph; restoring connecting lines between non-optimized nodes in the fourth quantum topology graph so as to obtain an optimized quantum topology graph.